## Found 222 Documents (Results 1–100)

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### Multiplicity of closed Reeb orbits on dynamically convex $$\mathbb{R}P^{2n-1}$$ for $$n\geq2$$. (English)Zbl 07481820

MSC:  37J46 37J39
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MSC:  37J39
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### Topological weak mixing and diffusion at all times for a class of Hamiltonian systems. (English)Zbl 07457822

MSC:  37J40 37J39
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### Optimal results in Lorentzian Aubry-Mather theory. (English)Zbl 07457109

MSC:  37J39 53C22 53C50
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### Irrationally elliptic closed characteristics on compact convex hypersurfaces in $$\mathbf{R}^{2n}$$. (English)Zbl 07424005

MSC:  37J51 37J39
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### Nambu dynamics and its noncanonical Hamiltonian representation in many degrees of freedom systems. (English)Zbl 07457208

MSC:  37J06 37J39
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### 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
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### Generic properties of Mañé’s set of exact magnetic Lagrangians. (English)Zbl 07441610

MSC:  37J39 37J25 37J51
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### 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).
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### 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).
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### 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
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### 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).
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### 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
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### 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).
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### 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).
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### 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
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### 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).
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### Billiards with changing geometry and their connection with the implementation of the Zhukovsky and Kovalevskaya cases. (English)Zbl 1482.37055

MSC:  37J35 37J39 37C83
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### 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).
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### 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
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### 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).
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### A note on the structure of prescribed gradient-like domains of non-integrable vector fields. (English)Zbl 1479.37061

MSC:  37J30 37J35 37J39
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### 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
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### 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).
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### 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).
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### Caustic-free regions for billiards on surfaces of constant curvature. (English)Zbl 07385197

MSC:  37J39 37C83
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### Corrigendum to: “The geometric structure of symplectic contraction”. (English)Zbl 1467.53086

MSC:  53D20 37J39 17B08
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### 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).

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### Integrability and linearizability of a family of three-dimensional quadratic systems. (English)Zbl 1472.37060

MSC:  37J35 37J39 37C79
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### Non-existence of global transverse Poincaré sections. (English)Zbl 1475.37065

MSC:  37J39 53D05 53C15
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### 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
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### 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).

### Liouville foliations of topological billiards with slipping. (English)Zbl 1469.37045

MSC:  37J35 37J39 37C83
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### The limit point of the pentagram map. (English)Zbl 07441800

MSC:  37J70 37J39 52A10
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### 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).
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### 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).
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### 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).
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### 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).
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### 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).
MSC:  37J35 37J38 37J39
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### 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).
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### 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
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### 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
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### 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).
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### 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
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### Multiple P-cyclic symmetric closed characteristics on compact convex P-cyclic symmetric hypersurfaces in $$\mathbb{R}^{2n}$$. (English)Zbl 1475.37066

MSC:  37J39 37J46 15B30
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### 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).
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### 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).
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### 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
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### 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).
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### 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
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### 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
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### 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).
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### A note on Tonelli Lagrangian systems on $$\mathbb{T}^2$$ with positive topological entropy on a high energy level. (English)Zbl 1462.37075

MSC:  37J51 37J39 37B40
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### Bifurcations of integrable mechanical systems with magnetic field on surfaces of revolution. (Russian. English summary)Zbl 1462.37064

MSC:  37J20 37J35 37J39
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