Takeuchi, Airi; Zhao, Lei Conformal transformations and integrable mechanical billiards. (English) Zbl 07781643 Adv. Math. 436, Article ID 109411, 31 p. (2024). Reviewer: Thomas B. Ward (Durham) MSC: 37C83 37J35 70F05 PDFBibTeX XMLCite \textit{A. Takeuchi} and \textit{L. Zhao}, Adv. Math. 436, Article ID 109411, 31 p. (2024; Zbl 07781643) Full Text: DOI arXiv
Takeuchi, Airi; Zhao, Lei Projective integrable mechanical billiards. (English) Zbl 07781013 Nonlinearity 37, No. 1, Article ID 015011, 27 p. (2024). MSC: 37C83 37J35 70F35 PDFBibTeX XMLCite \textit{A. Takeuchi} and \textit{L. Zhao}, Nonlinearity 37, No. 1, Article ID 015011, 27 p. (2024; Zbl 07781013) Full Text: DOI arXiv
Carrasco-Olivera, D.; Metzger, R.; Morales, C. A. Logarithmic expansion, entropy, and dimension for set-valued maps. (English. Russian original) Zbl 07789350 J. Math. Sci., New York 276, No. 2, 227-236 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 178, 31-40 (2020). MSC: 37B05 37A05 37B40 37C45 54C60 28B20 PDFBibTeX XMLCite \textit{D. Carrasco-Olivera} et al., J. Math. Sci., New York 276, No. 2, 227--236 (2023; Zbl 07789350); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 178, 31--40 (2020) Full Text: DOI
Eslami Giski, Z.; Fathizadeh, H.; Ghiasi Hafezi, S. Rényi entropies of dynamical systems: a generalization approach. (English) Zbl 1524.37001 J. Mahani Math. Res. Cent. 12, No. 1, 15-33 (2023). MSC: 37A35 28D20 94A17 PDFBibTeX XMLCite \textit{Z. Eslami Giski} et al., J. Mahani Math. Res. Cent. 12, No. 1, 15--33 (2023; Zbl 1524.37001) Full Text: DOI
Gao, Shan; Shi, Donghua; Zenkov, Dmitry V. Discrete Hamiltonian variational mechanics and Hamel’s integrators. (English) Zbl 1513.70050 J. Nonlinear Sci. 33, No. 2, Paper No. 26, 58 p. (2023); correction ibid. 33, No. 2, Paper No. 36, 1 p. (2023). MSC: 70F25 37J60 70H33 PDFBibTeX XMLCite \textit{S. Gao} et al., J. Nonlinear Sci. 33, No. 2, Paper No. 26, 58 p. (2023; Zbl 1513.70050) Full Text: DOI
Zhao, Lei Projective dynamics and an integrable Boltzmann billiard model. (English) Zbl 1508.37085 Commun. Contemp. Math. 24, No. 10, Article ID 2150085, 17 p. (2022). MSC: 37J70 37J35 37C83 70F10 70F35 PDFBibTeX XMLCite \textit{L. Zhao}, Commun. Contemp. Math. 24, No. 10, Article ID 2150085, 17 p. (2022; Zbl 1508.37085) Full Text: DOI arXiv
Vivas, Kendry J.; Sirvent, Víctor F. Metric entropy for set-valued maps. (English) Zbl 1514.37035 Discrete Contin. Dyn. Syst., Ser. B 27, No. 11, 6589-6604 (2022). MSC: 37B40 28D20 54C60 PDFBibTeX XMLCite \textit{K. J. Vivas} and \textit{V. F. Sirvent}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 11, 6589--6604 (2022; Zbl 1514.37035) Full Text: DOI
Drach, Kostiantyn; Schleicher, Dierk Rigidity of Newton dynamics. (English) Zbl 1508.30050 Adv. Math. 408, Part A, Article ID 108591, 64 p. (2022). Reviewer: Marco Abate (Pisa) MSC: 30D05 37F10 37F20 PDFBibTeX XMLCite \textit{K. Drach} and \textit{D. Schleicher}, Adv. Math. 408, Part A, Article ID 108591, 64 p. (2022; Zbl 1508.30050) Full Text: DOI arXiv
Clark, Trevor; Drach, Kostiantyn; Kozlovski, Oleg; Strien, Sebastian van The dynamics of complex box mappings. (English) Zbl 1502.37057 Arnold Math. J. 8, No. 2, 319-410 (2022); correction ibid. 9, No. 2, 301-302 (2023); correction ibid. 9, No. 2, 303-304 (2023). MSC: 37F44 37F10 37F15 37F20 37F25 PDFBibTeX XMLCite \textit{T. Clark} et al., Arnold Math. J. 8, No. 2, 319--410 (2022; Zbl 1502.37057) Full Text: DOI arXiv
Vedenyapin, V. V.; Adzhiev, S. Z.; Kazantseva, V. V. Boltzmann and Poincaré entropy, Boltzmann extremals, and Hamilton-Jacobi method for non-Hamiltonian situation. (English. Russian original) Zbl 07542521 J. Math. Sci., New York 260, No. 4, 434-455 (2022); translation from Sovrem. Mat., Fundam. Napravl. 64, No. 1, 37-59 (2018). MSC: 82Cxx 37Jxx 70Hxx PDFBibTeX XMLCite \textit{V. V. Vedenyapin} et al., J. Math. Sci., New York 260, No. 4, 434--455 (2022; Zbl 07542521); translation from Sovrem. Mat., Fundam. Napravl. 64, No. 1, 37--59 (2018) Full Text: DOI
Craciun, Gheorghe; Jin, Jiaxin; Yu, Polly Y. Single-target networks. (English) Zbl 1489.37105 Discrete Contin. Dyn. Syst., Ser. B 27, No. 2, 799-819 (2022). MSC: 37N25 92C42 92C45 80A30 PDFBibTeX XMLCite \textit{G. Craciun} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 2, 799--819 (2022; Zbl 1489.37105) Full Text: DOI arXiv
Craciun, Gheorghe; Tran, Minh-Binh A reaction network approach to the convergence to equilibrium of quantum Boltzmann equations for Bose gases. (English) Zbl 1479.35594 ESAIM, Control Optim. Calc. Var. 27, Paper No. 83, 25 p. (2021). MSC: 35Q20 45A05 47G10 82B40 37N25 92C42 37C10 80A30 92D25 81V73 35B41 82C10 PDFBibTeX XMLCite \textit{G. Craciun} and \textit{M.-B. Tran}, ESAIM, Control Optim. Calc. Var. 27, Paper No. 83, 25 p. (2021; Zbl 1479.35594) Full Text: DOI arXiv
Felder, Giovanni Poncelet property and quasi-periodicity of the integrable Boltzmann system. (English) Zbl 1475.37062 Lett. Math. Phys. 111, No. 1, Paper No. 12, 19 p. (2021). MSC: 37J35 37J40 37J38 14H70 82B23 PDFBibTeX XMLCite \textit{G. Felder}, Lett. Math. Phys. 111, No. 1, Paper No. 12, 19 p. (2021; Zbl 1475.37062) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{A. Müller}, J. Nonlinear Sci. 31, No. 2, Paper No. 40, 39 p. (2021; Zbl 1466.37051) Full Text: DOI
Fiedler, Bernold Global Hopf bifurcation in networks with fast feedback cycles. (English) Zbl 1454.34060 Discrete Contin. Dyn. Syst., Ser. S 14, No. 1, 177-203 (2021). MSC: 34C15 37G15 05C38 92C40 92C42 PDFBibTeX XMLCite \textit{B. Fiedler}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 1, 177--203 (2021; Zbl 1454.34060) Full Text: DOI arXiv
Shi, Donghua; Zenkov, Dmitry V.; Bloch, Anthony M. Hamel’s formalism for classical field theories. (English) Zbl 1448.70043 J. Nonlinear Sci. 30, No. 4, 1307-1353 (2020). MSC: 70F25 37J60 70H33 PDFBibTeX XMLCite \textit{D. Shi} et al., J. Nonlinear Sci. 30, No. 4, 1307--1353 (2020; Zbl 1448.70043) Full Text: DOI
Tran, Minh-Binh; Craciun, Gheorghe; Smith, Leslie M.; Boldyrev, Stanislav A reaction network approach to the theory of acoustic wave turbulence. (English) Zbl 1434.35040 J. Differ. Equations 269, No. 5, 4332-4352 (2020). MSC: 35Q20 47G10 82B40 37N25 92C42 37C10 80A30 92D25 PDFBibTeX XMLCite \textit{M.-B. Tran} et al., J. Differ. Equations 269, No. 5, 4332--4352 (2020; Zbl 1434.35040) Full Text: DOI arXiv
Craciun, Gheorghe; Jin, Jiaxin; Yu, Polly Y. An efficient characterization of complex-balanced, detailed-balanced, and weakly reversible systems. (English) Zbl 1436.37097 SIAM J. Appl. Math. 80, No. 1, 183-205 (2020). MSC: 37N25 92C42 80A30 92D25 92C45 PDFBibTeX XMLCite \textit{G. Craciun} et al., SIAM J. Appl. Math. 80, No. 1, 183--205 (2020; Zbl 1436.37097) Full Text: DOI arXiv
Craciun, Gheorghe Polynomial dynamical systems, reaction networks, and toric differential inclusions. (English) Zbl 1412.37035 SIAM J. Appl. Algebra Geom. 3, No. 1, 87-106 (2019). MSC: 37C60 37N25 37A60 34C08 52B20 14M25 14T05 PDFBibTeX XMLCite \textit{G. Craciun}, SIAM J. Appl. Algebra Geom. 3, No. 1, 87--106 (2019; Zbl 1412.37035) Full Text: DOI arXiv
Han, Jiyoung; Lim, Seonhee; Mallahi-Karai, Keivan Asymptotic distribution of values of isotropic here quadratic forms at \(S\)-integral points. (English) Zbl 1407.11084 J. Mod. Dyn. 11, 501-550 (2017). MSC: 11H50 22E40 22D40 11P21 05C15 37E25 68R15 PDFBibTeX XMLCite \textit{J. Han} et al., J. Mod. Dyn. 11, 501--550 (2017; Zbl 1407.11084) Full Text: DOI arXiv
Sprott, J. C.; Hoover, William G. Harmonic oscillators with nonlinear damping. (English) Zbl 1381.34055 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 11, Article ID 1730037, 19 p. (2017). MSC: 34C15 34A34 34C28 37D45 34D10 PDFBibTeX XMLCite \textit{J. C. Sprott} and \textit{W. G. Hoover}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 11, Article ID 1730037, 19 p. (2017; Zbl 1381.34055) Full Text: DOI
Kadanoff, Leo P. Entropy is in flux V3.4. (English) Zbl 1379.82018 J. Stat. Phys. 167, No. 3-4, 1039-1079 (2017). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C40 82C05 82C10 82C70 35Q20 76P05 37A35 81V70 81P40 PDFBibTeX XMLCite \textit{L. P. Kadanoff}, J. Stat. Phys. 167, No. 3--4, 1039--1079 (2017; Zbl 1379.82018) Full Text: DOI arXiv
Tsallis, Constantino Approach of complexity in nature: entropic nonuniqueness. (English) Zbl 1456.82572 Axioms 5, No. 3, Paper No. 20, 14 p. (2016). MSC: 82C05 82C10 82C40 37A40 PDFBibTeX XMLCite \textit{C. Tsallis}, Axioms 5, No. 3, Paper No. 20, 14 p. (2016; Zbl 1456.82572) Full Text: DOI arXiv
Wang, Wen-Xu; Lai, Ying-Cheng; Grebogi, Celso Data based identification and prediction of nonlinear and complex dynamical systems. (English) Zbl 1359.70089 Phys. Rep. 644, 1-76 (2016). MSC: 70K55 94A08 94A12 37F99 PDFBibTeX XMLCite \textit{W.-X. Wang} et al., Phys. Rep. 644, 1--76 (2016; Zbl 1359.70089) Full Text: DOI arXiv
Tomsovic, Steven A semiclassical reversibility paradox in simple chaotic systems. (English) Zbl 1353.81013 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 374, No. 2069, Article ID 20150161, 17 p. (2016). MSC: 81P10 37D45 PDFBibTeX XMLCite \textit{S. Tomsovic}, Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 374, No. 2069, Article ID 20150161, 17 p. (2016; Zbl 1353.81013) Full Text: DOI arXiv
Rojas, Carlos Arnoldo Morales; Alvan, Roger Metzger; Carrasco-Olivera, Dante Topological entropy for set-valued maps. (English) Zbl 1366.37037 Discrete Contin. Dyn. Syst., Ser. B 20, No. 10, 3461-3474 (2015). MSC: 37B40 54C60 37B10 PDFBibTeX XMLCite \textit{C. A. M. Rojas} et al., Discrete Contin. Dyn. Syst., Ser. B 20, No. 10, 3461--3474 (2015; Zbl 1366.37037) Full Text: DOI
Frahm, K. M.; Shepelyansky, D. L. Poincaré recurrences and Ulam method for the Chirikov standard map. (English) Zbl 1515.37041 Eur. Phys. J. B, Condens. Matter Complex Syst. 86, No. 7, Paper No. 322, 11 p. (2013). MSC: 37E40 37E05 PDFBibTeX XMLCite \textit{K. M. Frahm} and \textit{D. L. Shepelyansky}, Eur. Phys. J. B, Condens. Matter Complex Syst. 86, No. 7, Paper No. 322, 11 p. (2013; Zbl 1515.37041) Full Text: DOI arXiv
Noack, Bernd R.; Niven, Robert K. A hierarchy of maximum entropy closures for Galerkin systems of incompressible flows. (English) Zbl 1344.37081 Comput. Math. Appl. 65, No. 10, 1558-1574 (2013). MSC: 37L65 37A35 76D06 PDFBibTeX XMLCite \textit{B. R. Noack} and \textit{R. K. Niven}, Comput. Math. Appl. 65, No. 10, 1558--1574 (2013; Zbl 1344.37081) Full Text: DOI
Glitzky, Annegret; Mielke, Alexander A gradient structure for systems coupling reaction-diffusion effects in bulk and interfaces. (English) Zbl 1270.35256 Z. Angew. Math. Phys. 64, No. 1, 29-52 (2013). Reviewer: Alexander Mikhajlovich Blokhin (Novosibirsk) MSC: 35K51 35K57 35K58 37L45 78A35 78A57 PDFBibTeX XMLCite \textit{A. Glitzky} and \textit{A. Mielke}, Z. Angew. Math. Phys. 64, No. 1, 29--52 (2013; Zbl 1270.35256) Full Text: DOI
Kozlov, Valery V. Statistical irreversibility of the Kac reversible circular model. (English) Zbl 1309.37015 Regul. Chaotic Dyn. 16, No. 5, 536-549 (2011). MSC: 37A60 PDFBibTeX XMLCite \textit{V. V. Kozlov}, Regul. Chaotic Dyn. 16, No. 5, 536--549 (2011; Zbl 1309.37015) Full Text: DOI
Berkovitz, Joseph; Frigg, Roman; Kronz, Fred The ergodic hierarchy, randomness and Hamiltonian chaos. (English) Zbl 1223.37010 Stud. Hist. Philos. Sci., Part B, Stud. Hist. Philos. Mod. Phys. 37, No. 4, 661-691 (2006). MSC: 37A50 37-03 01A60 37A25 37J40 37N20 PDFBibTeX XMLCite \textit{J. Berkovitz} et al., Stud. Hist. Philos. Sci., Part B, Stud. Hist. Philos. Mod. Phys. 37, No. 4, 661--691 (2006; Zbl 1223.37010) Full Text: DOI Link
Kreinovich, Vladik; Kunin, Isaak A. Kolmogorov complexity and chaotic phenomena. (English) Zbl 1211.68221 Int. J. Eng. Sci. 41, No. 3-5, 483-493 (2003). MSC: 68Q30 82C05 37D45 PDFBibTeX XMLCite \textit{V. Kreinovich} and \textit{I. A. Kunin}, Int. J. Eng. Sci. 41, No. 3--5, 483--493 (2003; Zbl 1211.68221) Full Text: DOI
Benettin, Giancarlo; Fassò, Francesco From Hamiltonian perturbation theory to symplectic integrators and back. (English) Zbl 1028.37035 Appl. Numer. Math. 29, No. 1, 73-87 (1999). MSC: 37J40 34C37 37M15 70H08 70-08 PDFBibTeX XMLCite \textit{G. Benettin} and \textit{F. Fassò}, Appl. Numer. Math. 29, No. 1, 73--87 (1999; Zbl 1028.37035) Full Text: DOI
Lamb, Jeroen S. W.; Roberts, John A. G. Time-reversal symmetry in dynamical systems: a survey. (English) Zbl 1194.34072 Physica D 112, No. 1-2, 1-39 (1998). MSC: 34C23 37Mxx 37Nxx 34C25 34C37 PDFBibTeX XMLCite \textit{J. S. W. Lamb} and \textit{J. A. G. Roberts}, Physica D 112, No. 1--2, 1--39 (1998; Zbl 1194.34072) Full Text: DOI
Gallavotti, Giovanni Ergodicity, ensembles, irreversibility in Boltzmann and beyond. (English) Zbl 1080.82548 J. Stat. Phys. 78, No. 5-6, 1571-1589 (1995). MSC: 82C05 82C03 37A60 PDFBibTeX XMLCite \textit{G. Gallavotti}, J. Stat. Phys. 78, No. 5--6, 1571--1589 (1995; Zbl 1080.82548) Full Text: DOI arXiv
Rössler, Otto Explicit dissipative structures. (English) Zbl 0996.37501 Found. Phys. 17, No. 7, 679-688 (1987). MSC: 37D45 82B05 PDFBibTeX XMLCite \textit{O. Rössler}, Found. Phys. 17, No. 7, 679--688 (1987; Zbl 0996.37501) Full Text: DOI