Miti, Antonio Michele; Spera, Mauro A hydrodynamical homotopy co-momentum map and a multisymplectic interpretation of higher-order linking numbers. (English) Zbl 07525431 J. Aust. Math. Soc. 112, No. 3, 335-354 (2022). MSC: 53D20 37J39 53D99 57K10 55S30 PDF BibTeX XML Cite \textit{A. M. Miti} and \textit{M. Spera}, J. Aust. Math. Soc. 112, No. 3, 335--354 (2022; Zbl 07525431) Full Text: DOI OpenURL
Li, Luen-Chau Factorization problems on rational loop groups, and the Poisson geometry of Yang-Baxter maps. (English) Zbl 07506354 Math. Phys. Anal. Geom. 25, No. 1, Paper No. 6, 51 p. (2022). MSC: 16T15 37J39 37K25 35Q55 35C08 PDF BibTeX XML Cite \textit{L.-C. Li}, Math. Phys. Anal. Geom. 25, No. 1, Paper No. 6, 51 p. (2022; Zbl 07506354) Full Text: DOI OpenURL
Liu, Hui; Zhang, Ling Multiplicity of closed Reeb orbits on dynamically convex \(\mathbb{R}P^{2n-1} \) for \(n\geq2\). (English) Zbl 07481820 Discrete Contin. Dyn. Syst. 42, No. 4, 1801-1816 (2022). MSC: 37J46 37J39 PDF BibTeX XML Cite \textit{H. Liu} and \textit{L. Zhang}, Discrete Contin. Dyn. Syst. 42, No. 4, 1801--1816 (2022; Zbl 07481820) Full Text: DOI OpenURL
Springer, T. A. On symplectic transformations. (English) Zbl 07478439 Indag. Math., New Ser. 33, No. 1, 279-302 (2022). MSC: 37J39 PDF BibTeX XML Cite \textit{T. A. Springer}, Indag. Math., New Ser. 33, No. 1, 279--302 (2022; Zbl 07478439) Full Text: DOI arXiv OpenURL
Fayad, Bassam; Saprykina, Maria Topological weak mixing and diffusion at all times for a class of Hamiltonian systems. (English) Zbl 07457822 Ergodic Theory Dyn. Syst. 42, No. 2, 777-791 (2022). MSC: 37J40 37J39 PDF BibTeX XML Cite \textit{B. Fayad} and \textit{M. Saprykina}, Ergodic Theory Dyn. Syst. 42, No. 2, 777--791 (2022; Zbl 07457822) Full Text: DOI arXiv OpenURL
Chen, Jianyu; Hu, Huyi; Pesin, Yakov; Zhang, Ke The essential coexistence phenomenon in Hamiltonian dynamics. (English) Zbl 07457817 Ergodic Theory Dyn. Syst. 42, No. 2, 592-613 (2022). MSC: 37J06 37J39 37C40 37D20 PDF BibTeX XML Cite \textit{J. Chen} et al., Ergodic Theory Dyn. Syst. 42, No. 2, 592--613 (2022; Zbl 07457817) Full Text: DOI arXiv OpenURL
Albers, Peter; Geiges, Hansjörg; Zehmisch, Kai Pseudorotations of the \(2\)-disc and Reeb flows on the \(3\)-sphere. (English) Zbl 07457811 Ergodic Theory Dyn. Syst. 42, No. 2, 402-436 (2022). MSC: 37J39 37E30 37C05 37C25 37D40 PDF BibTeX XML Cite \textit{P. Albers} et al., Ergodic Theory Dyn. Syst. 42, No. 2, 402--436 (2022; Zbl 07457811) Full Text: DOI arXiv OpenURL
Suhr, Stefan Optimal results in Lorentzian Aubry-Mather theory. (English) Zbl 07457109 Manuscr. Math. 167, No. 1-2, 125-149 (2022). MSC: 37J39 53C22 53C50 PDF BibTeX XML Cite \textit{S. Suhr}, Manuscr. Math. 167, No. 1--2, 125--149 (2022; Zbl 07457109) Full Text: DOI OpenURL
Wang, Wei Irrationally elliptic closed characteristics on compact convex hypersurfaces in \(\mathbf{R}^{2n}\). (English) Zbl 07424005 J. Funct. Anal. 282, No. 1, Article ID 109269, 29 p. (2022). MSC: 37J51 37J39 PDF BibTeX XML Cite \textit{W. Wang}, J. Funct. Anal. 282, No. 1, Article ID 109269, 29 p. (2022; Zbl 07424005) Full Text: DOI OpenURL
Fehér, L. Bi-Hamiltonian structure of spin Sutherland models: the holomorphic case. (English) Zbl 07458073 Ann. Henri Poincaré 22, No. 12, 4063-4085 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J35 37J39 37J06 53D17 53D20 PDF BibTeX XML Cite \textit{L. Fehér}, Ann. Henri Poincaré 22, No. 12, 4063--4085 (2021; Zbl 07458073) Full Text: DOI arXiv OpenURL
Albach, Bernhard; Geiges, Hansjörg Surfaces of Section for Seifert fibrations. (English) Zbl 07457612 Arnold Math. J. 7, No. 4, 573-597 (2021). MSC: 57R30 14H50 30F99 37J39 57M12 PDF BibTeX XML Cite \textit{B. Albach} and \textit{H. Geiges}, Arnold Math. J. 7, No. 4, 573--597 (2021; Zbl 07457612) Full Text: DOI arXiv OpenURL
Horikoshi, Atsushi Nambu dynamics and its noncanonical Hamiltonian representation in many degrees of freedom systems. (English) Zbl 07457208 PTEP, Prog. Theor. Exper. Phys. 2021, No. 12, Article ID 12C106, 8 p. (2021). MSC: 37J06 37J39 PDF BibTeX XML Cite \textit{A. Horikoshi}, PTEP, Prog. Theor. Exper. Phys. 2021, No. 12, Article ID 12C106, 8 p. (2021; Zbl 07457208) Full Text: DOI arXiv OpenURL
Asselle, Luca; Benedetti, Gabriele; Mazzucchelli, Marco Minimal boundaries in Tonelli Lagrangian systems. (English) Zbl 07456014 Int. Math. Res. Not. 2021, No. 20, 15746-15787 (2021). MSC: 37J51 37J46 37J39 37D40 PDF BibTeX XML Cite \textit{L. Asselle} et al., Int. Math. Res. Not. 2021, No. 20, 15746--15787 (2021; Zbl 07456014) Full Text: DOI arXiv OpenURL
Kozlov, V. V. On the problem of separation of variables in systems of ordinary differential equations. (English. Russian original) Zbl 07452231 Differ. Equ. 57, No. 10, 1299-1306 (2021); translation from Differ. Uravn. 57, No. 10, 1325-1332 (2021). MSC: 37J39 37J35 34A25 PDF BibTeX XML Cite \textit{V. V. Kozlov}, Differ. Equ. 57, No. 10, 1299--1306 (2021; Zbl 07452231); translation from Differ. Uravn. 57, No. 10, 1325--1332 (2021) Full Text: DOI OpenURL
Frauenfelder, U.; Weber, J. The regularized free fall. I: Index computations. (English) Zbl 07447228 Russ. J. Math. Phys. 28, No. 4, 464-487 (2021). MSC: 37J51 37J46 37J39 53D12 37B30 58J20 PDF BibTeX XML Cite \textit{U. Frauenfelder} and \textit{J. Weber}, Russ. J. Math. Phys. 28, No. 4, 464--487 (2021; Zbl 07447228) Full Text: DOI arXiv OpenURL
Modin, Klas; Viviani, Milo Integrability of point-vortex dynamics via symplectic reduction: a survey. (English) Zbl 1482.37056 Arnold Math. J. 7, No. 3, 357-385 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J35 37J30 37J39 53D20 70H06 76B47 PDF BibTeX XML Cite \textit{K. Modin} and \textit{M. Viviani}, Arnold Math. J. 7, No. 3, 357--385 (2021; Zbl 1482.37056) Full Text: DOI arXiv OpenURL
Bialy, Misha; Mironov, Andrey E.; Shalom, Lior Outer billiards with the dynamics of a standard shift on a finite number of invariant curves. (English) Zbl 07446655 Exp. Math. 30, No. 4, 469-474 (2021). MSC: 37C83 37J39 37J35 14H70 PDF BibTeX XML Cite \textit{M. Bialy} et al., Exp. Math. 30, No. 4, 469--474 (2021; Zbl 07446655) Full Text: DOI arXiv OpenURL
Le Roux, Frédéric; Seyfaddini, Sobhan; Viterbo, Claude Barcodes and area-preserving homeomorphisms. (English) Zbl 07442193 Geom. Topol. 25, No. 6, 2713-2825 (2021). MSC: 37J39 37E30 53D05 53D40 PDF BibTeX XML Cite \textit{F. Le Roux} et al., Geom. Topol. 25, No. 6, 2713--2825 (2021; Zbl 07442193) Full Text: DOI arXiv OpenURL
Kourliouros, Konstantinos Sections of Hamiltonian systems. (English) Zbl 07441634 Regul. Chaotic Dyn. 26, No. 4, 331-349 (2021). MSC: 37J39 37J40 37J06 57R45 70H15 70H45 PDF BibTeX XML Cite \textit{K. Kourliouros}, Regul. Chaotic Dyn. 26, No. 4, 331--349 (2021; Zbl 07441634) Full Text: DOI arXiv OpenURL
Rocha, Alexandre Generic properties of Mañé’s set of exact magnetic Lagrangians. (English) Zbl 07441610 Regul. Chaotic Dyn. 26, No. 3, 293-304 (2021). MSC: 37J39 37J25 37J51 PDF BibTeX XML Cite \textit{A. Rocha}, Regul. Chaotic Dyn. 26, No. 3, 293--304 (2021; Zbl 07441610) Full Text: DOI arXiv OpenURL
Fomenko, Anatoly T.; Kibkalo, Vladislav A. Saddle singularities in integrable Hamiltonian systems: examples and algorithms. (English) Zbl 07438611 Sadovnichiy, Victor A. (ed.) et al., Contemporary approaches and methods in fundamental mathematics and mechanics. Cham: Springer. Underst. Complex Syst., 3-26 (2021). MSC: 37J39 37J35 37J25 37C83 58K65 58K45 PDF BibTeX XML Cite \textit{A. T. Fomenko} and \textit{V. A. Kibkalo}, in: Contemporary approaches and methods in fundamental mathematics and mechanics. Cham: Springer. 3--26 (2021; Zbl 07438611) Full Text: DOI OpenURL
Pustovoytov, S. E. Topological analysis of a billiard in elliptic ring in a potential field. (English. Russian original) Zbl 07436596 J. Math. Sci., New York 259, No. 5, 712-729 (2021); translation from Fundam. Prikl. Mat. 22, No. 6, 201-225 (2019). MSC: 37J39 37J35 58K65 37C83 PDF BibTeX XML Cite \textit{S. E. Pustovoytov}, J. Math. Sci., New York 259, No. 5, 712--729 (2021; Zbl 07436596); translation from Fundam. Prikl. Mat. 22, No. 6, 201--225 (2019) Full Text: DOI OpenURL
Karginova, E. E. Liouville foliation of topological billiards in the Minkowski plane. (English. Russian original) Zbl 07436592 J. Math. Sci., New York 259, No. 5, 656-675 (2021); translation from Fundam. Prikl. Mat. 22, No. 6, 123-150 (2019). MSC: 37J39 37J35 58K65 PDF BibTeX XML Cite \textit{E. E. Karginova}, J. Math. Sci., New York 259, No. 5, 656--675 (2021; Zbl 07436592); translation from Fundam. Prikl. Mat. 22, No. 6, 123--150 (2019) Full Text: DOI OpenURL
Zhila, A. I. Classification of the gluing matrices on the loop molecules of the points of center-center type. (English. Russian original) Zbl 07436590 J. Math. Sci., New York 259, No. 5, 628-635 (2021); translation from Fundam. Prikl. Mat. 22, No. 6, 85-94 (2019). MSC: 37J39 37J20 37J35 58K65 PDF BibTeX XML Cite \textit{A. I. Zhila}, J. Math. Sci., New York 259, No. 5, 628--635 (2021; Zbl 07436590); translation from Fundam. Prikl. Mat. 22, No. 6, 85--94 (2019) Full Text: DOI OpenURL
Hirakui, Yuma; Yajima, Takahiro Geometrical classification of self-similar motion of two-dimensional three point vortex system by deviation curvature on Jacobi field. (English) Zbl 07433526 Adv. Math. Phys. 2021, Article ID 9979529, 14 p. (2021). MSC: 37J25 37J39 37D40 70G45 PDF BibTeX XML Cite \textit{Y. Hirakui} and \textit{T. Yajima}, Adv. Math. Phys. 2021, Article ID 9979529, 14 p. (2021; Zbl 07433526) Full Text: DOI OpenURL
Vedyushkina, V. V. Orbital invariants of flat billiards bounded by arcs of confocal quadrics and containing focuses. (English. Russian original) Zbl 07432180 Mosc. Univ. Math. Bull. 76, No. 4, 177-180 (2021); translation from Vestn. Mosk. Univ., Ser. I 76, No. 4, 48-51 (2021). MSC: 37J35 37J39 37J06 PDF BibTeX XML Cite \textit{V. V. Vedyushkina}, Mosc. Univ. Math. Bull. 76, No. 4, 177--180 (2021; Zbl 07432180); translation from Vestn. Mosk. Univ., Ser. I 76, No. 4, 48--51 (2021) Full Text: DOI OpenURL
Boualem, Hassan; Brouzet, Robert Generically, Arnold-Liouville systems cannot be bi-Hamiltonian. (English) Zbl 07431235 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 096, 17 p. (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37J35 37J39 37J06 70H06 PDF BibTeX XML Cite \textit{H. Boualem} and \textit{R. Brouzet}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 096, 17 p. (2021; Zbl 07431235) Full Text: DOI arXiv OpenURL
Vedyushkina, V. V.; Kharcheva, I. S. Billiard books realize all bases of Liouville foliations of integrable Hamiltonian systems. (English. Russian original) Zbl 07428661 Sb. Math. 212, No. 8, 1122-1179 (2021); translation from Mat. Sb. 212, No. 8, 89-150 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J39 37C83 37J35 37G10 37J20 PDF BibTeX XML Cite \textit{V. V. Vedyushkina} and \textit{I. S. Kharcheva}, Sb. Math. 212, No. 8, 1122--1179 (2021; Zbl 07428661); translation from Mat. Sb. 212, No. 8, 89--150 (2021) Full Text: DOI OpenURL
Kozlov, V. V. Symplectic geometry of the Koopman operator. (English. Russian original) Zbl 07427860 Dokl. Math. 104, No. 1, 175-179 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 499, 20-25 (2021). MSC: 37J39 37J11 37C30 37A25 PDF BibTeX XML Cite \textit{V. V. Kozlov}, Dokl. Math. 104, No. 1, 175--179 (2021; Zbl 07427860); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 499, 20--25 (2021) Full Text: DOI OpenURL
Shamolin, M. V. New cases of homogeneous integrable systems with dissipation on tangent bundles of four-dimensional manifolds. (English. Russian original) Zbl 1482.37059 Dokl. Math. 103, No. 2, 85-91 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 497, 23-30 (2021). MSC: 37J35 37J39 70H06 PDF BibTeX XML Cite \textit{M. V. Shamolin}, Dokl. Math. 103, No. 2, 85--91 (2021; Zbl 1482.37059); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 497, 23--30 (2021) Full Text: DOI OpenURL
Vedyushkina, V. V.; Fomenko, A. T. Force evolutionary billiards and billiard equivalence of the Euler and Lagrange cases. (English. Russian original) Zbl 1482.37060 Dokl. Math. 103, No. 1, 1-4 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 496, 5-8 (2021). MSC: 37J35 37J39 70E40 70E17 PDF BibTeX XML Cite \textit{V. V. Vedyushkina} and \textit{A. T. Fomenko}, Dokl. Math. 103, No. 1, 1--4 (2021; Zbl 1482.37060); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 496, 5--8 (2021) Full Text: DOI OpenURL
Fomenko, A. T.; Vedyushkina, V. V. Billiards with changing geometry and their connection with the implementation of the Zhukovsky and Kovalevskaya cases. (English) Zbl 1482.37055 Russ. J. Math. Phys. 28, No. 3, 317-332 (2021). MSC: 37J35 37J39 37C83 PDF BibTeX XML Cite \textit{A. T. Fomenko} and \textit{V. V. Vedyushkina}, Russ. J. Math. Phys. 28, No. 3, 317--332 (2021; Zbl 1482.37055) Full Text: DOI OpenURL
de Lucas, J.; Zawora, B. M. A time-dependent energy-momentum method. (English) Zbl 07416014 J. Geom. Phys. 170, Article ID 104364, 22 p. (2021). MSC: 37J25 37J39 37J35 70H14 53D20 PDF BibTeX XML Cite \textit{J. de Lucas} and \textit{B. M. Zawora}, J. Geom. Phys. 170, Article ID 104364, 22 p. (2021; Zbl 07416014) Full Text: DOI arXiv OpenURL
Goto, Shin-itiro; Hino, Hideitsu Contact Hamiltonian systems for probability distribution functions and expectation variables: a study based on a class of master equations. (English) Zbl 07404598 Nielsen, Frank (ed.), Progress in information geometry. Theory and applications. Based on discussions of the fourth international conference on geometric science of information, GSI’2019, Toulouse, France, August 27–29, 2019. Cham: Springer. Signals Commun. Technol., 57-87 (2021). MSC: 37J55 37J39 53B12 53D10 53E30 PDF BibTeX XML Cite \textit{S.-i. Goto} and \textit{H. Hino}, in: Progress in information geometry. Theory and applications. Based on discussions of the fourth international conference on geometric science of information, GSI'2019, Toulouse, France, August 27--29, 2019. Cham: Springer. 57--87 (2021; Zbl 07404598) Full Text: DOI OpenURL
Borisov, A. V.; Tsiganov, A. V. Chaplygin ball in a solenoidal field. (English. Russian original) Zbl 1480.37073 Russ. Math. Surv. 76, No. 3, 546-548 (2021); translation from Usp. Mat. Nauk 76, No. 3, 185-186 (2021). MSC: 37J60 37J39 PDF BibTeX XML Cite \textit{A. V. Borisov} and \textit{A. V. Tsiganov}, Russ. Math. Surv. 76, No. 3, 546--548 (2021; Zbl 1480.37073); translation from Usp. Mat. Nauk 76, No. 3, 185--186 (2021) Full Text: DOI OpenURL
Agapov, S. V.; Valyuzhenich, A. A.; Shubin, V. V. Some remarks on high degree polynomial integrals of the magnetic geodesic flow on the two-dimensional torus. (English. Russian original) Zbl 07401155 Sib. Math. J. 62, No. 4, 581-585 (2021); translation from Sib. Mat. Zh. 62, No. 4, 715-720 (2021). Reviewer: Maxime Fairon (Glasgow) MSC: 37J35 37J39 37E35 53D25 PDF BibTeX XML Cite \textit{S. V. Agapov} et al., Sib. Math. J. 62, No. 4, 581--585 (2021; Zbl 07401155); translation from Sib. Mat. Zh. 62, No. 4, 715--720 (2021) Full Text: DOI OpenURL
Rañada, Manuel F. Quasi-bi-Hamiltonian structures and superintegrability: study of a Kepler-related family of systems endowed with generalized Runge-Lenz integrals of motion. (English) Zbl 07396833 J. Geom. Mech. 13, No. 2, 195-208 (2021). Reviewer: Arsen Melikyan (Brasília) MSC: 70H06 70H33 37J35 37J39 PDF BibTeX XML Cite \textit{M. F. Rañada}, J. Geom. Mech. 13, No. 2, 195--208 (2021; Zbl 07396833) Full Text: DOI arXiv OpenURL
Sugimoto, Yoshihiro On the generic Conley conjecture. (English) Zbl 07394763 Arch. Math. 117, No. 4, 423-432 (2021). Reviewer: Xiaojun Chen (Chengdu) MSC: 37J46 37J12 37J39 53D05 53D40 PDF BibTeX XML Cite \textit{Y. Sugimoto}, Arch. Math. 117, No. 4, 423--432 (2021; Zbl 07394763) Full Text: DOI arXiv OpenURL
Jeffrey, Lisa; Zabanfahm, Sina Imploded cross-sections. (English) Zbl 07393759 Rocky Mt. J. Math. 51, No. 1, 193-211 (2021). MSC: 53-02 53D05 53D20 37J39 PDF BibTeX XML Cite \textit{L. Jeffrey} and \textit{S. Zabanfahm}, Rocky Mt. J. Math. 51, No. 1, 193--211 (2021; Zbl 07393759) Full Text: DOI arXiv OpenURL
Tudoran, Răzvan M. A note on the structure of prescribed gradient-like domains of non-integrable vector fields. (English) Zbl 1479.37061 Math. Methods Appl. Sci. 44, No. 14, 11288-11292 (2021). MSC: 37J30 37J35 37J39 PDF BibTeX XML Cite \textit{R. M. Tudoran}, Math. Methods Appl. Sci. 44, No. 14, 11288--11292 (2021; Zbl 1479.37061) Full Text: DOI arXiv OpenURL
Vedyushkina, V. V. Local modeling of Liouville foliations by billiards: implementation of edge invariants. (English. Russian original) Zbl 1478.37062 Mosc. Univ. Math. Bull. 76, No. 2, 60-64 (2021); translation from Vestn. Mosk. Univ., Ser. I 76, No. 2, 28-32 (2021). MSC: 37J39 37J35 PDF BibTeX XML Cite \textit{V. V. Vedyushkina}, Mosc. Univ. Math. Bull. 76, No. 2, 60--64 (2021; Zbl 1478.37062); translation from Vestn. Mosk. Univ., Ser. I 76, No. 2, 28--32 (2021) Full Text: DOI OpenURL
Takeuchi, Tsukasa Examples of four- or six-dimensional symplectic-Haantjes manifolds and about a relationship with recursion operators. (English) Zbl 07391066 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 22nd international conference on geometry, integrability and quantization, Varna, Bulgaria, June 8–13, 2020. Sofia: Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering. Geom. Integrability Quantization 22, 263-273 (2021). MSC: 37J06 37J35 37J39 53D05 PDF BibTeX XML Cite \textit{T. Takeuchi}, Geom. Integrability Quantization 22, 263--273 (2021; Zbl 07391066) Full Text: DOI OpenURL
Arthamonov, S.; Reshetikhin, N. Superintegrable systems on moduli spaces of flat connections. (English) Zbl 07387980 Commun. Math. Phys. 386, No. 3, 1337-1381 (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37J35 37J39 37J38 14H70 53D17 PDF BibTeX XML Cite \textit{S. Arthamonov} and \textit{N. Reshetikhin}, Commun. Math. Phys. 386, No. 3, 1337--1381 (2021; Zbl 07387980) Full Text: DOI arXiv OpenURL
Ragnisco, Orlando A confined quasi-maximally superintegrable \(N\)-dimensional system, classical and quantum, in a space with variable curvature. (English) Zbl 1478.37060 Paranjape, M. B. (ed.) et al., Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1–5, 2019. Cham: Springer. CRM Ser. Math. Phys., 141-148 (2021). MSC: 37J35 37J39 70H06 81Q80 81U15 PDF BibTeX XML Cite \textit{O. Ragnisco}, in: Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1--5, 2019. Cham: Springer. 141--148 (2021; Zbl 1478.37060) Full Text: DOI OpenURL
Florentin, Dan Itzhak; Ostrover, Yaron; Rosen, Daniel Caustic-free regions for billiards on surfaces of constant curvature. (English) Zbl 07385197 J. Geom. Phys. 168, Article ID 104305, 14 p. (2021). MSC: 37J39 37C83 PDF BibTeX XML Cite \textit{D. I. Florentin} et al., J. Geom. Phys. 168, Article ID 104305, 14 p. (2021; Zbl 07385197) Full Text: DOI arXiv OpenURL
van der Meer, J. C. Reduction and regularization of the Kepler problem. (English) Zbl 1472.53093 Celest. Mech. Dyn. Astron. 133, No. 7, Paper No. 32, 19 p. (2021). MSC: 53D20 37J39 70H05 70H33 PDF BibTeX XML Cite \textit{J. C. van der Meer}, Celest. Mech. Dyn. Astron. 133, No. 7, Paper No. 32, 19 p. (2021; Zbl 1472.53093) Full Text: DOI OpenURL
Cieślak, Tomasz; Kryński, Wojciech Geometric aspects of two- and threepeakons. (English) Zbl 1479.35656 Nonlinearity 34, No. 9, 6685-6704 (2021). MSC: 35Q35 37J39 70H06 53C22 35C08 35B40 35D30 35R01 PDF BibTeX XML Cite \textit{T. Cieślak} and \textit{W. Kryński}, Nonlinearity 34, No. 9, 6685--6704 (2021; Zbl 1479.35656) Full Text: DOI arXiv OpenURL
Khanevsky, Michael Non-autonomous curves on surfaces. (English) Zbl 1478.37065 J. Mod. Dyn. 17, 305-317 (2021). Reviewer: Maxime Fairon (Glasgow) MSC: 37J65 37J38 37J39 37C05 37E35 PDF BibTeX XML Cite \textit{M. Khanevsky}, J. Mod. Dyn. 17, 305--317 (2021; Zbl 1478.37065) Full Text: DOI arXiv OpenURL
Lane, Jeremy Corrigendum to: “The geometric structure of symplectic contraction”. (English) Zbl 1467.53086 Int. Math. Res. Not. 2021, No. 6, 4803 (2021). MSC: 53D20 37J39 17B08 PDF BibTeX XML Cite \textit{J. Lane}, Int. Math. Res. Not. 2021, No. 6, 4803 (2021; Zbl 1467.53086) Full Text: DOI OpenURL
Colarusso, Mark; Evens, Sam The complex orthogonal Gelfand-Zeitlin system. (English) Zbl 07381540 Int. Math. Res. Not. 2021, No. 4, 2682-2722 (2021). MSC: 37J37 37J39 37J35 53D05 53D20 PDF BibTeX XML Cite \textit{M. Colarusso} and \textit{S. Evens}, Int. Math. Res. Not. 2021, No. 4, 2682--2722 (2021; Zbl 07381540) Full Text: DOI arXiv OpenURL
Magri, Franco The Kowalewski separability conditions. (English) Zbl 1478.37059 Novikov, Sergey (ed.) et al., Integrability, quantization, and geometry I. Integrable systems. Dedicated to the memory of Boris Dubrovin 1950–2019. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 103, Part 1, 297-315 (2021). MSC: 37J35 37J38 37J39 70H06 70H20 53D17 PDF BibTeX XML Cite \textit{F. Magri}, Proc. Symp. Pure Math. 103, 297--315 (2021; Zbl 1478.37059) OpenURL
Correa, Eder M.; Grama, Lino Lax formalism for Gelfand-Tsetlin integrable systems. (English) Zbl 1479.37063 Bull. Sci. Math. 170, Article ID 102999, 40 p. (2021). Reviewer: Yarema Prykarpatskyy (Kraków) MSC: 37J37 37J39 37J35 17B80 14H70 PDF BibTeX XML Cite \textit{E. M. Correa} and \textit{L. Grama}, Bull. Sci. Math. 170, Article ID 102999, 40 p. (2021; Zbl 1479.37063) Full Text: DOI arXiv OpenURL
Belbruno, Edward; Frauenfelder, Urs; van Koert, Otto The Omega limit set of a family of chords. (English) Zbl 1473.37072 J. Topol. Anal. 13, No. 1, 49-73 (2021). MSC: 37J39 37J46 37J25 70F07 PDF BibTeX XML Cite \textit{E. Belbruno} et al., J. Topol. Anal. 13, No. 1, 49--73 (2021; Zbl 1473.37072) Full Text: DOI arXiv OpenURL
Aziz, Waleed; Amen, Azad; Pantazi, Chara Integrability and linearizability of a family of three-dimensional quadratic systems. (English) Zbl 1472.37060 Dyn. Syst. 36, No. 2, 317-331 (2021). MSC: 37J35 37J39 37C79 PDF BibTeX XML Cite \textit{W. Aziz} et al., Dyn. Syst. 36, No. 2, 317--331 (2021; Zbl 1472.37060) Full Text: DOI OpenURL
Braddell, Roisin Non-existence of global transverse Poincaré sections. (English) Zbl 1475.37065 J. Geom. Phys. 165, Article ID 104168, 4 p. (2021). Reviewer: Maxime Fairon (Glasgow) MSC: 37J39 53D05 53C15 PDF BibTeX XML Cite \textit{R. Braddell}, J. Geom. Phys. 165, Article ID 104168, 4 p. (2021; Zbl 1475.37065) Full Text: DOI arXiv OpenURL
Pustovoitov, Sergey E. Topological analysis of a billiard bounded by confocal quadrics in a potential field. (English. Russian original) Zbl 1468.37028 Sb. Math. 212, No. 2, 211-233 (2021); translation from Mat. Sb. 212, No. 2, 81-105 (2021). MSC: 37C83 37J35 37J39 PDF BibTeX XML Cite \textit{S. E. Pustovoitov}, Sb. Math. 212, No. 2, 211--233 (2021; Zbl 1468.37028); translation from Mat. Sb. 212, No. 2, 81--105 (2021) Full Text: DOI OpenURL
Khesin, Boris Lectures on pentagram maps and KdV hierarchies. (English) Zbl 1472.37081 Akbulut, Selman (ed.) et al., Proceedings of the 25th and 26th Gökova geometry-topology conferences, 2018/2019, Gökova Bay, Turkey, May/June 2018 and May/June 2019. Dedicated to the memory of Sir Michael Atiyah. Somerville, MA: International Press; Gökova: Gökova Geometry-Topology Conferences (GGT). 164-175 (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K60 37K25 37J70 37J39 39A36 PDF BibTeX XML Cite \textit{B. Khesin}, in: Proceedings of the 25th and 26th Gökova geometry-topology conferences, 2018/2019, Gökova Bay, Turkey, May/June 2018 and May/June 2019. Dedicated to the memory of Sir Michael Atiyah. Somerville, MA: International Press; Gökova: Gökova Geometry-Topology Conferences (GGT). 164--175 (2021; Zbl 1472.37081) OpenURL
Fomenko, A. T.; Vedyushkina, V. V.; Zav’yalov, V. N. Liouville foliations of topological billiards with slipping. (English) Zbl 1469.37045 Russ. J. Math. Phys. 28, No. 1, 37-55 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J35 37J39 37C83 PDF BibTeX XML Cite \textit{A. T. Fomenko} et al., Russ. J. Math. Phys. 28, No. 1, 37--55 (2021; Zbl 1469.37045) Full Text: DOI OpenURL
Rodríguez-Tzompantzi, Omar Symplectic realization of two interacting spin-two fields in three dimensions. (English) Zbl 1459.83037 J. High Energy Phys. 2021, No. 1, Paper No. 89, 23 p. (2021). MSC: 83C80 83C60 83C45 81T10 37J39 PDF BibTeX XML Cite \textit{O. Rodríguez-Tzompantzi}, J. High Energy Phys. 2021, No. 1, Paper No. 89, 23 p. (2021; Zbl 1459.83037) Full Text: DOI arXiv OpenURL
Glutsyuk, Alexei; Izmestiev, Ivan; Tabachnikov, Serge Four equivalent properties of integrable billiards. (English) Zbl 1470.37079 Isr. J. Math. 241, No. 2, 693-719 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J35 37J39 37C83 37D40 PDF BibTeX XML Cite \textit{A. Glutsyuk} et al., Isr. J. Math. 241, No. 2, 693--719 (2021; Zbl 1470.37079) Full Text: DOI arXiv OpenURL
Müller, Andreas On the Hamel coefficients and the Boltzmann-Hamel equations for the rigid body. (English) Zbl 1466.37051 J. Nonlinear Sci. 31, No. 2, Paper No. 40, 39 p. (2021). MSC: 37J60 37J39 70E60 70G45 70G65 70H33 37N05 70H03 53Z30 PDF BibTeX XML Cite \textit{A. Müller}, J. Nonlinear Sci. 31, No. 2, Paper No. 40, 39 p. (2021; Zbl 1466.37051) Full Text: DOI OpenURL
Alonso, Jaume; Hohloch, Sonja The height invariant of a four-parameter semitoric system with two focus-focus singularities. (English) Zbl 1469.37043 J. Nonlinear Sci. 31, No. 3, Paper No. 51, 32 p. (2021). Reviewer: Maxime Fairon (Glasgow) MSC: 37J35 37J39 53D20 70H06 PDF BibTeX XML Cite \textit{J. Alonso} and \textit{S. Hohloch}, J. Nonlinear Sci. 31, No. 3, Paper No. 51, 32 p. (2021; Zbl 1469.37043) Full Text: DOI arXiv OpenURL
Pnueli, M.; Rom-Kedar, V. On the structure of Hamiltonian impact systems. (English) Zbl 1470.37082 Nonlinearity 34, No. 4, 2611-2658 (2021). MSC: 37J39 37J30 37J40 37J35 70H06 PDF BibTeX XML Cite \textit{M. Pnueli} and \textit{V. Rom-Kedar}, Nonlinearity 34, No. 4, 2611--2658 (2021; Zbl 1470.37082) Full Text: DOI arXiv OpenURL
Deng, Yanxia; Xia, Zhihong Instability of periodic orbits by Conley-Zehnder index theory. (English) Zbl 1467.37056 Proc. Am. Math. Soc. 149, No. 6, 2461-2472 (2021). Reviewer: Mohsen Timoumi (Monastir) MSC: 37J46 37J25 37J51 37J06 37J39 PDF BibTeX XML Cite \textit{Y. Deng} and \textit{Z. Xia}, Proc. Am. Math. Soc. 149, No. 6, 2461--2472 (2021; Zbl 1467.37056) Full Text: DOI OpenURL
Jäger, Tobias; Koropecki, Andres; Tal, Fabio Armando On the onset of diffusion in the kicked Harper model. (English) Zbl 1466.37050 Commun. Math. Phys. 383, No. 2, 953-980 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J40 37J39 37J11 37E30 37E45 PDF BibTeX XML Cite \textit{T. Jäger} et al., Commun. Math. Phys. 383, No. 2, 953--980 (2021; Zbl 1466.37050) Full Text: DOI arXiv OpenURL
Hu, Jianbing; Qi, Guoyuan; Wang, Ze; Chen, Guanrong Rare energy-conservative attractors on global invariant hypersurfaces and their multistability. (English) Zbl 1465.34019 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 3, Article ID 2130007, 18 p. (2021). MSC: 34A34 34C28 34C45 37J39 34D45 94C60 PDF BibTeX XML Cite \textit{J. Hu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 3, Article ID 2130007, 18 p. (2021; Zbl 1465.34019) Full Text: DOI OpenURL
Glutsyuk, Alexey On polynomially integrable Birkhoff billiards on surfaces of constant curvature. (English) Zbl 1466.37049 J. Eur. Math. Soc. (JEMS) 23, No. 3, 995-1049 (2021). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 37J35 37C83 37J39 53A10 14H20 PDF BibTeX XML Cite \textit{A. Glutsyuk}, J. Eur. Math. Soc. (JEMS) 23, No. 3, 995--1049 (2021; Zbl 1466.37049) Full Text: DOI arXiv OpenURL
Chaika, Jon; Frączek, Krzysztof; Kanigowski, Adam; Ulcigrai, Corinna Singularity of the spectrum for smooth area-preserving flows in genus two and translation surfaces well approximated by cylinders. (English) Zbl 1480.37050 Commun. Math. Phys. 381, No. 3, 1369-1407 (2021). Reviewer: Manuel de León (Madrid) MSC: 37E30 37C40 37D25 37D40 37J39 37J40 37A05 PDF BibTeX XML Cite \textit{J. Chaika} et al., Commun. Math. Phys. 381, No. 3, 1369--1407 (2021; Zbl 1480.37050) Full Text: DOI arXiv OpenURL
Sottocornola, Nicola An application of the Kowalewski conditions. (English) Zbl 1465.37069 Anal. Math. Phys. 11, No. 2, Paper No. 49, 13 p. (2021). Reviewer: Giovanni Rastelli (Vercelli) MSC: 37J35 37J39 34M55 70H06 PDF BibTeX XML Cite \textit{N. Sottocornola}, Anal. Math. Phys. 11, No. 2, Paper No. 49, 13 p. (2021; Zbl 1465.37069) Full Text: DOI OpenURL
Novak, Tina; Žerovnik, Janez Real forms of the complex Neumann system: a method for finding real roots of polynomial \(U_{\mathcal{S}} ( \lambda )\). (English) Zbl 1457.37079 J. Comput. Appl. Math. 390, Article ID 113362, 14 p. (2021). MSC: 37J39 37J35 15A06 26C10 PDF BibTeX XML Cite \textit{T. Novak} and \textit{J. Žerovnik}, J. Comput. Appl. Math. 390, Article ID 113362, 14 p. (2021; Zbl 1457.37079) Full Text: DOI arXiv OpenURL
Gasiorek, Sean; Radnović, Milena Pseudo-Euclidean billiards within confocal curves on the hyperboloid of one sheet. (English) Zbl 1464.14036 J. Geom. Phys. 161, Article ID 104032, 22 p. (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H70 37J35 70H06 70H12 37J38 37J39 37J46 PDF BibTeX XML Cite \textit{S. Gasiorek} and \textit{M. Radnović}, J. Geom. Phys. 161, Article ID 104032, 22 p. (2021; Zbl 1464.14036) Full Text: DOI arXiv OpenURL
Fairon, M.; Fehér, L.; Marshall, I. Trigonometric real form of the spin RS model of Krichever and Zabrodin. (English) Zbl 1468.37047 Ann. Henri Poincaré 22, No. 2, 615-675 (2021). MSC: 37J35 37J39 37J37 37J38 70H06 53D17 53D20 PDF BibTeX XML Cite \textit{M. Fairon} et al., Ann. Henri Poincaré 22, No. 2, 615--675 (2021; Zbl 1468.37047) Full Text: DOI arXiv OpenURL
Gernandt, H.; Haller, F. E.; Reis, T.; Schaft, A. J. van der Port-Hamiltonian formulation of nonlinear electrical circuits. (English) Zbl 1468.34015 J. Geom. Phys. 159, Article ID 103959, 16 p. (2021). Reviewer: Vu Hoang Linh (Hanoi) MSC: 34A09 37J39 53D12 93C10 94C15 94C60 PDF BibTeX XML Cite \textit{H. Gernandt} et al., J. Geom. Phys. 159, Article ID 103959, 16 p. (2021; Zbl 1468.34015) Full Text: DOI arXiv OpenURL
Pelayo, Álvaro Symplectic invariants of semitoric systems and the inverse problem for quantum systems. (English) Zbl 1469.37046 Indag. Math., New Ser. 32, No. 1, 246-274 (2021). Reviewer: Luca Vitagliano (Fisciano) MSC: 37J35 37J39 53D05 53D50 81U15 PDF BibTeX XML Cite \textit{Á. Pelayo}, Indag. Math., New Ser. 32, No. 1, 246--274 (2021; Zbl 1469.37046) Full Text: DOI arXiv OpenURL
Arcostanzo, Marc The \(C^0\) integrability of symplectic twist maps without conjugate points. (English) Zbl 1457.37078 Ergodic Theory Dyn. Syst. 41, No. 1, 48-65 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J39 37J11 37J35 37J40 37E40 53D22 PDF BibTeX XML Cite \textit{M. Arcostanzo}, Ergodic Theory Dyn. Syst. 41, No. 1, 48--65 (2021; Zbl 1457.37078) Full Text: DOI arXiv OpenURL
Glick, Max The limit point of the pentagram map. (English) Zbl 07441800 Int. Math. Res. Not. 2020, No. 9, 2818-2831 (2020). MSC: 37J70 37J39 52A10 PDF BibTeX XML Cite \textit{M. Glick}, Int. Math. Res. Not. 2020, No. 9, 2818--2831 (2020; Zbl 07441800) Full Text: DOI arXiv OpenURL
Fernández, Javier; Tori, Cora; Zuccalli, Marcela Lagrangian reduction of nonholonomic discrete mechanical systems by stages. (English) Zbl 1480.37074 J. Geom. Mech. 12, No. 4, 607-639 (2020). MSC: 37J60 37J39 37J06 70G45 70G65 70G75 PDF BibTeX XML Cite \textit{J. Fernández} et al., J. Geom. Mech. 12, No. 4, 607--639 (2020; Zbl 1480.37074) Full Text: DOI arXiv OpenURL
Chern, Albert; Knöppel, Felix; Pedit, Franz; Pinkall, Ulrich Commuting Hamiltonian flows of curves in real space forms. (English) Zbl 07425929 Donagi, Ron (ed.) et al., Integrable systems and algebraic geometry. A celebration of Emma Previato’s 65th birthday. Volume 1. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 458, 291-328 (2020). MSC: 37K20 37K10 37K35 37J35 37J38 37J39 PDF BibTeX XML Cite \textit{A. Chern} et al., Lond. Math. Soc. Lect. Note Ser. 458, 291--328 (2020; Zbl 07425929) Full Text: arXiv Link OpenURL
Brown, Tova; Ercolani, Nicholas M. Integrable mappings from a unified perspective. (English) Zbl 07425927 Donagi, Ron (ed.) et al., Integrable systems and algebraic geometry. A celebration of Emma Previato’s 65th birthday. Volume 1. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 458, 217-264 (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37J70 37J39 14H70 37H12 37H10 PDF BibTeX XML Cite \textit{T. Brown} and \textit{N. M. Ercolani}, Lond. Math. Soc. Lect. Note Ser. 458, 217--264 (2020; Zbl 07425927) Full Text: arXiv Link OpenURL
Dragović, Vladimir; Radnović, Milena; Ranomenjanahary, Roger Fidèle Pencils of quadrics, billiard double-reflection and confocal incircular nets. (English) Zbl 07425924 Donagi, Ron (ed.) et al., Integrable systems and algebraic geometry. A celebration of Emma Previato’s 65th birthday. Volume 1. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 458, 133-166 (2020). MSC: 37K10 37J35 37K25 37J39 14H70 PDF BibTeX XML Cite \textit{V. Dragović} et al., Lond. Math. Soc. Lect. Note Ser. 458, 133--166 (2020; Zbl 07425924) Full Text: Link OpenURL
Retakh, Vladimir; Rubtsov, Vladimir; Sharygin, Georgy Noncommutative cross-ratio and Schwarz derivative. (English) Zbl 07425916 Donagi, Ron (ed.) et al., Integrable systems and algebraic geometry. A celebration of Emma Previato’s 65th birthday. Volume 2. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 459, 499-528 (2020). MSC: 37J39 37J38 37J35 14A22 14H70 47L55 PDF BibTeX XML Cite \textit{V. Retakh} et al., Lond. Math. Soc. Lect. Note Ser. 459, 499--528 (2020; Zbl 07425916) Full Text: arXiv Link OpenURL
Bates, L. M.; Churchill, R. C. A primer on Lax pairs. (English) Zbl 07425910 Donagi, Ron (ed.) et al., Integrable systems and algebraic geometry. A celebration of Emma Previato’s 65th birthday. Volume 2. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 459, 346-366 (2020). Reviewer: Dimitar A. Kolev (Sofia) MSC: 37J35 37J38 37J39 PDF BibTeX XML Cite \textit{L. M. Bates} and \textit{R. C. Churchill}, Lond. Math. Soc. Lect. Note Ser. 459, 346--366 (2020; Zbl 07425910) Full Text: Link OpenURL
Françoise, Jean-Pierre; Tarama, Daisuke The rigid body dynamics in an ideal fluid: Clebsch top and Kummer surfaces. (English) Zbl 07425908 Donagi, Ron (ed.) et al., Integrable systems and algebraic geometry. A celebration of Emma Previato’s 65th birthday. Volume 2. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 459, 288-312 (2020). MSC: 37J35 37J39 37J38 70E40 14J28 14H70 PDF BibTeX XML Cite \textit{J.-P. Françoise} and \textit{D. Tarama}, Lond. Math. Soc. Lect. Note Ser. 459, 288--312 (2020; Zbl 07425908) Full Text: arXiv Link OpenURL
Shamolin, M. V. New cases of homogeneous integrable systems with dissipation on tangent bundles of three-dimensional manifolds. (English. Russian original) Zbl 1482.37058 Dokl. Math. 102, No. 3, 518-523 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 84-90 (2020). MSC: 37J35 37J39 70H06 PDF BibTeX XML Cite \textit{M. V. Shamolin}, Dokl. Math. 102, No. 3, 518--523 (2020; Zbl 1482.37058); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 84--90 (2020) Full Text: DOI OpenURL
Shamolin, M. V. New cases of homogeneous integrable systems with dissipation on tangent bundles of two-dimensional manifolds. (English. Russian original) Zbl 1482.37057 Dokl. Math. 102, No. 2, 443-448 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 494, 105-111 (2020). MSC: 37J35 37J39 70H06 PDF BibTeX XML Cite \textit{M. V. Shamolin}, Dokl. Math. 102, No. 2, 443--448 (2020; Zbl 1482.37057); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 494, 105--111 (2020) Full Text: DOI OpenURL
Podobryaev, A. V. Coadjoint orbits of three-step free nilpotent Lie groups and time-optimal control problem. (English. Russian original) Zbl 1482.37101 Dokl. Math. 102, No. 1, 293-295 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 493, 38-41 (2020). MSC: 37N35 22E25 22E30 37J39 58B20 93B27 PDF BibTeX XML Cite \textit{A. V. Podobryaev}, Dokl. Math. 102, No. 1, 293--295 (2020; Zbl 1482.37101); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 493, 38--41 (2020) Full Text: DOI OpenURL
Vedyushkina, V. V.; Kibkalo, V. A.; Fomenko, A. T. Topological modeling of integrable systems by billiards: realization of numerical invariants. (English. Russian original) Zbl 07424607 Dokl. Math. 102, No. 1, 269-271 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 493, 9-12 (2020). MSC: 37J39 37J35 PDF BibTeX XML Cite \textit{V. V. Vedyushkina} et al., Dokl. Math. 102, No. 1, 269--271 (2020; Zbl 07424607); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 493, 9--12 (2020) Full Text: DOI OpenURL
Liu, Hui; Zhang, Hui Multiple P-cyclic symmetric closed characteristics on compact convex P-cyclic symmetric hypersurfaces in \(\mathbb{R}^{2n} \). (English) Zbl 1475.37066 Front. Math. China 15, No. 6, 1155-1173 (2020). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 37J39 37J46 15B30 PDF BibTeX XML Cite \textit{H. Liu} and \textit{H. Zhang}, Front. Math. China 15, No. 6, 1155--1173 (2020; Zbl 1475.37066) Full Text: DOI OpenURL
Kibkalo, V. A. Noncompactness property of fibers and singularities of non-Euclidean Kovalevskaya system on pencil of Lie algebras. (English. Russian original) Zbl 1468.37048 Mosc. Univ. Math. Bull. 75, No. 6, 263-267 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 6, 56-59 (2020). MSC: 37J35 37J39 70E40 70G55 17B80 PDF BibTeX XML Cite \textit{V. A. Kibkalo}, Mosc. Univ. Math. Bull. 75, No. 6, 263--267 (2020; Zbl 1468.37048); translation from Vestn. Mosk. Univ., Ser. I 75, No. 6, 56--59 (2020) Full Text: DOI OpenURL
Vedyushkina, V. V.; Kibkalo, V. A. Realization of the numerical invariant of the Seifert fibration of integrable systems by billiards. (English. Russian original) Zbl 1468.37049 Mosc. Univ. Math. Bull. 75, No. 4, 161-168 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 4, 22-28 (2020). MSC: 37J39 37J35 37C83 37M21 PDF BibTeX XML Cite \textit{V. V. Vedyushkina} and \textit{V. A. Kibkalo}, Mosc. Univ. Math. Bull. 75, No. 4, 161--168 (2020; Zbl 1468.37049); translation from Vestn. Mosk. Univ., Ser. I 75, No. 4, 22--28 (2020) Full Text: DOI OpenURL
Kharcheva, I. S. Isoenergetic manifolds of integrable billiard books. (English. Russian original) Zbl 1473.37070 Mosc. Univ. Math. Bull. 75, No. 4, 149-160 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 4, 12-22 (2020). MSC: 37J35 37J39 37C83 PDF BibTeX XML Cite \textit{I. S. Kharcheva}, Mosc. Univ. Math. Bull. 75, No. 4, 149--160 (2020; Zbl 1473.37070); translation from Vestn. Mosk. Univ., Ser. I 75, No. 4, 12--22 (2020) Full Text: DOI OpenURL
Zhila, A. I. Topological types of isoenergy surfaces in the system of the Chaplygin ball with a rotor. (English. Russian original) Zbl 1468.37050 Mosc. Univ. Math. Bull. 75, No. 3, 134-138 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 3, 52-56 (2020). MSC: 37J60 37J39 37J35 70E18 70E40 PDF BibTeX XML Cite \textit{A. I. Zhila}, Mosc. Univ. Math. Bull. 75, No. 3, 134--138 (2020; Zbl 1468.37050); translation from Vestn. Mosk. Univ., Ser. I 75, No. 3, 52--56 (2020) Full Text: DOI OpenURL
Trifonova, V. A. Criteria for the height of an atom. (English. Russian original) Zbl 1468.37021 Mosc. Univ. Math. Bull. 75, No. 3, 102-116 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 3, 12-24 (2020). MSC: 37C15 37C20 37J39 PDF BibTeX XML Cite \textit{V. A. Trifonova}, Mosc. Univ. Math. Bull. 75, No. 3, 102--116 (2020; Zbl 1468.37021); translation from Vestn. Mosk. Univ., Ser. I 75, No. 3, 12--24 (2020) Full Text: DOI OpenURL
Moskvin, V. A. Algorithmic construction of two-dimensional singular fibers of atoms of billiards in non-convex domains. (English. Russian original) Zbl 1468.37027 Mosc. Univ. Math. Bull. 75, No. 3, 91-101 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 3, 3-12 (2020). MSC: 37C83 37J39 37J35 PDF BibTeX XML Cite \textit{V. A. Moskvin}, Mosc. Univ. Math. Bull. 75, No. 3, 91--101 (2020; Zbl 1468.37027); translation from Vestn. Mosk. Univ., Ser. I 75, No. 3, 3--12 (2020) Full Text: DOI OpenURL
Arnaud, Marie-Claude; Xue, Jinxin A \(C^1\) Arnol’d-Liouville theorem. (English) Zbl 1469.37044 Crovisier, Sylvain (ed.) et al., Some aspects of the theory of dynamical systems: a tribute to Jean-Christophe Yoccoz. Volume II. Paris: Société Mathématique de France (SMF). Astérisque 416, 1-31 (2020). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J35 37J39 70H20 53D05 53D17 PDF BibTeX XML Cite \textit{M.-C. Arnaud} and \textit{J. Xue}, Astérisque 416, 1--31 (2020; Zbl 1469.37044) Full Text: DOI arXiv OpenURL
Van der Schaft, Arjan; Maschke, Bernhard Dirac and Lagrange algebraic constraints in nonlinear port-Hamiltonian systems. (English) Zbl 1470.37083 Vietnam J. Math. 48, No. 4, 929-939 (2020). Reviewer: Martha Alvarez-Ramírez (Ciudad de México) MSC: 37J39 70H45 37N35 34A09 53D12 93C10 93D30 PDF BibTeX XML Cite \textit{A. Van der Schaft} and \textit{B. Maschke}, Vietnam J. Math. 48, No. 4, 929--939 (2020; Zbl 1470.37083) Full Text: DOI arXiv OpenURL
Damasceno, J. G.; Miranda, J. G.; Araújo, L. G. Perona A note on Tonelli Lagrangian systems on \(\mathbb{T}^2\) with positive topological entropy on a high energy level. (English) Zbl 1462.37075 Nelineĭn. Din. 16, No. 4, 625-635 (2020). MSC: 37J51 37J39 37B40 PDF BibTeX XML Cite \textit{J. G. Damasceno} et al., Nelineĭn. Din. 16, No. 4, 625--635 (2020; Zbl 1462.37075) Full Text: DOI arXiv MNR OpenURL
Kudryavtseva, E. A.; Oshemkov, A. A. Bifurcations of integrable mechanical systems with magnetic field on surfaces of revolution. (Russian. English summary) Zbl 1462.37064 Chebyshevskiĭ Sb. 21, No. 2(74), 244-265 (2020). MSC: 37J20 37J35 37J39 PDF BibTeX XML Cite \textit{E. A. Kudryavtseva} and \textit{A. A. Oshemkov}, Chebyshevskiĭ Sb. 21, No. 2(74), 244--265 (2020; Zbl 1462.37064) Full Text: DOI MNR OpenURL
Kozlov, Ivan Konstantinovich; Oshemkov, Andreĭ Aleksandrovich Classification of saddle-focus singularities. (Russian. English summary) Zbl 1462.37071 Chebyshevskiĭ Sb. 21, No. 2(74), 228-243 (2020). MSC: 37J39 37J12 37J35 37J25 PDF BibTeX XML Cite \textit{I. K. Kozlov} and \textit{A. A. Oshemkov}, Chebyshevskiĭ Sb. 21, No. 2(74), 228--243 (2020; Zbl 1462.37071) Full Text: DOI MNR OpenURL
Antonov, Evgeniĭ Igorevich; Kozlov, Ivan Konstantinovich Liouville classification of integrable geodesic flows on a projective plane in a potential field. (Russian. English summary) Zbl 1462.37070 Chebyshevskiĭ Sb. 21, No. 2(74), 10-25 (2020). MSC: 37J39 37J35 37D40 53D25 PDF BibTeX XML Cite \textit{E. I. Antonov} and \textit{I. K. Kozlov}, Chebyshevskiĭ Sb. 21, No. 2(74), 10--25 (2020; Zbl 1462.37070) Full Text: DOI MNR OpenURL