Zabrodin, Anton V. On integrability of the deformed Ruijsenaars-Schneider system. (English. Russian original) Zbl 07771682 Russ. Math. Surv. 78, No. 2, 349-386 (2023); translation from Usp. Mat. Nauk 78, No. 2, 149-188 (2023). MSC: 37J35 37J70 37K10 33E05 PDFBibTeX XMLCite \textit{A. V. Zabrodin}, Russ. Math. Surv. 78, No. 2, 349--386 (2023; Zbl 07771682); translation from Usp. Mat. Nauk 78, No. 2, 149--188 (2023) Full Text: DOI arXiv MNR
Watanabe, Ryoto; Shinjo, Masato; Iwasaki, Masashi Matrix similarity transformations derived from extended \(q\)-analogues of the Toda equation and Lotka-Volterra system. (English) Zbl 1525.37062 J. Difference Equ. Appl. 29, No. 5, 519-541 (2023). MSC: 37J35 37J38 37J70 39A36 05A30 PDFBibTeX XMLCite \textit{R. Watanabe} et al., J. Difference Equ. Appl. 29, No. 5, 519--541 (2023; Zbl 1525.37062) Full Text: DOI arXiv
Sakhnovich, Alexander Dressing for generalised linear Hamiltonian systems depending rationally on the spectral parameter and some applications. (English) Zbl 1518.37072 Discrete Contin. Dyn. Syst. 43, No. 2, 807-820 (2023). MSC: 37K35 37K06 37J06 PDFBibTeX XMLCite \textit{A. Sakhnovich}, Discrete Contin. Dyn. Syst. 43, No. 2, 807--820 (2023; Zbl 1518.37072) Full Text: DOI arXiv
Berger, Pierre Coexistence of chaotic and elliptic behaviors among analytic, symplectic diffeomorphisms of any surface. (Coexistence de comportements chaotiques et elliptiques parmi les symplectomorphismes analytiques de toute surface.) (English. French summary) Zbl 1521.37068 J. Éc. Polytech., Math. 10, 525-547 (2023). MSC: 37J70 37J46 37J35 37F80 37E30 37D45 37D25 PDFBibTeX XMLCite \textit{P. Berger}, J. Éc. Polytech., Math. 10, 525--547 (2023; Zbl 1521.37068) Full Text: DOI arXiv
Takagi, Taichiro Differential equations for the closed geometric crystal chains. (English) Zbl 1511.37073 J. Phys. A, Math. Theor. 55, No. 41, Article ID 415202, 26 p. (2022). MSC: 37J70 37J38 39A36 16T25 PDFBibTeX XMLCite \textit{T. Takagi}, J. Phys. A, Math. Theor. 55, No. 41, Article ID 415202, 26 p. (2022; Zbl 1511.37073) Full Text: DOI arXiv
Ercolani, Nicholas M.; Ramalheira-Tsu, Jonathan A path-counting analysis of phase shifts in box-ball systems. (English) Zbl 1522.37018 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 063, 42 p. (2022). MSC: 37B15 17B80 37J70 37J35 PDFBibTeX XMLCite \textit{N. M. Ercolani} and \textit{J. Ramalheira-Tsu}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 063, 42 p. (2022; Zbl 1522.37018) Full Text: DOI arXiv
Okubo, Naoto; Suzuki, Takao Generalized \(q\)-Painlevé VI systems of type \((A_{2n+1}+A_1+A_1)^{(1)}\) arising from cluster algebra. (English) Zbl 1497.37070 Int. Math. Res. Not. 2022, No. 9, 6561-6607 (2022). MSC: 37J37 37J70 37J65 14E05 39A13 39A36 13F60 PDFBibTeX XMLCite \textit{N. Okubo} and \textit{T. Suzuki}, Int. Math. Res. Not. 2022, No. 9, 6561--6607 (2022; Zbl 1497.37070) Full Text: DOI arXiv
Wei, Kangning Involutions of Halphen pencils of index 2 and discrete integrable systems. (English) Zbl 07506353 Math. Phys. Anal. Geom. 25, No. 1, Paper No. 5, 9 p. (2022). MSC: 37J70 37J38 39A36 14E05 14E07 PDFBibTeX XMLCite \textit{K. Wei}, Math. Phys. Anal. Geom. 25, No. 1, Paper No. 5, 9 p. (2022; Zbl 07506353) Full Text: DOI arXiv
Mobasheramini, Fatane; Bertola, Marco Quantization of Calogero-Painlevé system and multi-particle quantum Painlevé equations II-VI. (English) Zbl 1477.37070 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 081, 25 p. (2021). MSC: 37J65 37J38 37J70 34M55 81R12 81S08 PDFBibTeX XMLCite \textit{F. Mobasheramini} and \textit{M. Bertola}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 081, 25 p. (2021; Zbl 1477.37070) Full Text: DOI arXiv
Adamopoulou, P.; Konstantinou-Rizos, S.; Papamikos, G. Integrable extensions of the Adler map via Grassmann algebras. (English. Russian original) Zbl 1467.37058 Theor. Math. Phys. 207, No. 2, 553-559 (2021); translation from Teor. Mat. Fiz. 207, No. 2, 179-187 (2021). Reviewer: Eszter Gselmann (Debrecen) MSC: 37J70 37J35 37J37 39A36 15A75 17B38 PDFBibTeX XMLCite \textit{P. Adamopoulou} et al., Theor. Math. Phys. 207, No. 2, 553--559 (2021; Zbl 1467.37058); translation from Teor. Mat. Fiz. 207, No. 2, 179--187 (2021) Full Text: DOI arXiv
Nobe, Atsushi; Matsukidaira, Junta Periodicity, linearizability, and integrability in seed mutations of type \(\boldsymbol{A}_N^{(1)}\). (English) Zbl 1475.37064 J. Math. Phys. 62, No. 1, Article ID 013510, 24 p. (2021). Reviewer: Agustín Moreno Cañadas (Bogotá) MSC: 37J37 37J70 13F60 16G20 PDFBibTeX XMLCite \textit{A. Nobe} and \textit{J. Matsukidaira}, J. Math. Phys. 62, No. 1, Article ID 013510, 24 p. (2021; Zbl 1475.37064) Full Text: DOI arXiv
Petrera, Matteo; Suris, Yuri B.; Zander, René How one can repair non-integrable Kahan discretizations. (English) Zbl 1508.37084 J. Phys. A, Math. Theor. 53, No. 37, Article ID 37LT01, 7 p. (2020). MSC: 37J70 37J38 39A36 14H70 14H45 14E05 14E07 PDFBibTeX XMLCite \textit{M. Petrera} et al., J. Phys. A, Math. Theor. 53, No. 37, Article ID 37LT01, 7 p. (2020; Zbl 1508.37084) Full Text: DOI arXiv
Glick, Max The limit point of the pentagram map. (English) Zbl 1484.37075 Int. Math. Res. Not. 2020, No. 9, 2818-2831 (2020). MSC: 37J70 37J39 52A10 PDFBibTeX XMLCite \textit{M. Glick}, Int. Math. Res. Not. 2020, No. 9, 2818--2831 (2020; Zbl 1484.37075) Full Text: DOI arXiv
Xu, Xiaodan; Si, Wen; Si, Jianguo Stoker’s problem for quasi-periodically forced reversible systems with multidimensional Liouvillean frequency. (English) Zbl 1470.70026 SIAM J. Appl. Dyn. Syst. 19, No. 4, 2286-2321 (2020). MSC: 70K43 70H08 52C23 37A60 37J40 PDFBibTeX XMLCite \textit{X. Xu} et al., SIAM J. Appl. Dyn. Syst. 19, No. 4, 2286--2321 (2020; Zbl 1470.70026) Full Text: DOI
Prokofev, V. V.; Zabrodin, A. V. Matrix Kadomtsev-Petviashvili hierarchy and spin generalization of trigonometric Calogero-Moser hierarchy. (English. Russian original) Zbl 1448.37079 Proc. Steklov Inst. Math. 309, 225-239 (2020); translation from Tr. Mat. Inst. Steklova 309, 241-256 (2020). MSC: 37K10 37J35 37J70 37K60 39A36 PDFBibTeX XMLCite \textit{V. V. Prokofev} and \textit{A. V. Zabrodin}, Proc. Steklov Inst. Math. 309, 225--239 (2020; Zbl 1448.37079); translation from Tr. Mat. Inst. Steklova 309, 241--256 (2020) Full Text: DOI arXiv
Ramassamy, Sanjay Miquel dynamics for circle patterns. (English) Zbl 1432.37041 Int. Math. Res. Not. 2020, No. 3, 813-852 (2020). MSC: 37C05 52C26 37J35 14H70 PDFBibTeX XMLCite \textit{S. Ramassamy}, Int. Math. Res. Not. 2020, No. 3, 813--852 (2020; Zbl 1432.37041) Full Text: DOI arXiv
Euler, Norbert (ed.) Nonlinear systems and their remarkable mathematical structures. Volume I. (English) Zbl 1409.37001 Boca Raton, FL: CRC Press (ISBN 978-1-138-60100-0/hbk; 978-0-429-89381-0/ebook). xvi, 582 p. (2019). Reviewer: Giuseppe Gaeta (Milano) MSC: 37-01 34-01 37Jxx 37Kxx 70Fxx 70Gxx 70Hxx PDFBibTeX XMLCite \textit{N. Euler} (ed.), Nonlinear systems and their remarkable mathematical structures. Volume I. Boca Raton, FL: CRC Press (2019; Zbl 1409.37001) Full Text: Link
Maeda, Kazuki Nonautonomous ultradiscrete hungry Toda lattice and a generalized box-ball system. (English) Zbl 1378.37098 J. Phys. A, Math. Theor. 50, No. 36, Article ID 365204, 32 p. (2017). Reviewer: Eszter Gselmann (Debrecen) MSC: 37J35 33C47 39A12 39A70 37B15 PDFBibTeX XMLCite \textit{K. Maeda}, J. Phys. A, Math. Theor. 50, No. 36, Article ID 365204, 32 p. (2017; Zbl 1378.37098) Full Text: DOI arXiv
Petrera, Matteo; Zander, René New classes of quadratic vector fields admitting integral-preserving Kahan-Hirota-Kimura discretizations. (English) Zbl 1377.37086 J. Phys. A, Math. Theor. 50, No. 20, Article ID 205203, 13 p. (2017). Reviewer: Eszter Gselmann (Debrecen) MSC: 37J35 37M15 37C10 39A12 PDFBibTeX XMLCite \textit{M. Petrera} and \textit{R. Zander}, J. Phys. A, Math. Theor. 50, No. 20, Article ID 205203, 13 p. (2017; Zbl 1377.37086) Full Text: DOI arXiv
Ishikawa, Ai; Yaguchi, Takaharu Application of the variational principle to deriving energy-preserving schemes for the Hamilton equation. (English) Zbl 1412.65238 JSIAM Lett. 8, 53-56 (2016). MSC: 65P10 65M06 35A15 37J99 37C80 PDFBibTeX XMLCite \textit{A. Ishikawa} and \textit{T. Yaguchi}, JSIAM Lett. 8, 53--56 (2016; Zbl 1412.65238) Full Text: DOI
Xu, Xi-Xiang; Sun, Ye-Peng Mukherjee-Choudhury-Chowdhury spectral problem and the semi-discrete integrable system. (English) Zbl 1418.37098 Int. J. Mod. Phys. B 30, No. 28-29, Article ID 1640027, 16 p. (2016). MSC: 37J35 39A12 14H70 37J10 PDFBibTeX XMLCite \textit{X.-X. Xu} and \textit{Y.-P. Sun}, Int. J. Mod. Phys. B 30, No. 28--29, Article ID 1640027, 16 p. (2016; Zbl 1418.37098) Full Text: DOI
Glick, Max The devron property. (English) Zbl 1331.37078 J. Geom. Phys. 87, 161-189 (2015). MSC: 37J35 05A15 51A05 37J45 37B20 PDFBibTeX XMLCite \textit{M. Glick}, J. Geom. Phys. 87, 161--189 (2015; Zbl 1331.37078) Full Text: DOI arXiv
Petrera, Matteo; Suris, Yuri B. Spherical geometry and integrable systems. (English) Zbl 1304.37040 Geom. Dedicata 169, 83-98 (2014). Reviewer: Manuel de León (Madrid) MSC: 37J35 51M10 37K25 37K10 PDFBibTeX XMLCite \textit{M. Petrera} and \textit{Y. B. Suris}, Geom. Dedicata 169, 83--98 (2014; Zbl 1304.37040) Full Text: DOI arXiv
Takahashi, You; Iwasaki, Masashi; Fukuda, Akiko; Ishiwata, Emiko; Nakamura, Yoshimasa Asymptotic analysis for an extended discrete Lotka-Volterra system related to matrix eigenvalues. (English) Zbl 1275.37036 Appl. Anal. 92, No. 3, 586-594 (2013). Reviewer: Caidi Zhao (Wenzhou) MSC: 37L60 37L10 37K10 37J25 PDFBibTeX XMLCite \textit{Y. Takahashi} et al., Appl. Anal. 92, No. 3, 586--594 (2013; Zbl 1275.37036) Full Text: DOI
Šimon Hilscher, Roman; Zeidan, Vera Oscillation theorems and Rayleigh principle for linear Hamiltonian and symplectic systems with general boundary conditions. (English) Zbl 1257.34077 Appl. Math. Comput. 218, No. 17, 8309-8328 (2012). Reviewer: Qiru Wang (Guangzhou) MSC: 34N05 34B05 34C10 39A21 37J99 PDFBibTeX XMLCite \textit{R. Šimon Hilscher} and \textit{V. Zeidan}, Appl. Math. Comput. 218, No. 17, 8309--8328 (2012; Zbl 1257.34077) Full Text: DOI
Kondo, Koichi Solutions of Sakaki-Kakei equations of type 3, 5 and 6. (English) Zbl 1271.39002 JSIAM Lett. 2, 73-76 (2010). MSC: 39A12 39A20 37J99 PDFBibTeX XMLCite \textit{K. Kondo}, JSIAM Lett. 2, 73--76 (2010; Zbl 1271.39002) Full Text: DOI Link
Morikawa, Shuji; Saito, Katsunori; Takeuchi, Taihei; Umemura, Hiroshi Discrete Burgers’ equation, binomial coefficients and Mandala. (English) Zbl 1217.39010 Math. Comput. Sci. 4, No. 2-3, 151-167 (2010). MSC: 39A12 35Q53 03D05 39A10 12F10 37J35 65Q10 PDFBibTeX XMLCite \textit{S. Morikawa} et al., Math. Comput. Sci. 4, No. 2--3, 151--167 (2010; Zbl 1217.39010) Full Text: DOI
Romanenko, E. Yu.; Sharkovsky, A. N. Difference equations with continuous time: theory and applications. (English) Zbl 1217.39005 Elaydi, Saber (ed.) et al., Discrete dynamics and difference equations. Proceedings of the twelfth international conference on difference equations and applications (ICDEA), Lisbon, Portugal, July 23–27, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-4287-64-7/hbk). 104-119 (2010). MSC: 39A10 37L05 39A12 37D45 PDFBibTeX XMLCite \textit{E. Yu. Romanenko} and \textit{A. N. Sharkovsky}, in: Discrete dynamics and difference equations. Proceedings of the twelfth international conference on difference equations and applications (ICDEA), Lisbon, Portugal, July 23--27, 2007. Hackensack, NJ: World Scientific. 104--119 (2010; Zbl 1217.39005)
Petrera, Matteo; Pfadler, Andreas; Suris, Yuri B. On integrability of Hirota-Kimura-type discretizations: experimental study of the discrete Clebsch system. (English) Zbl 1178.14007 Exp. Math. 18, No. 2, 223-247 (2009). MSC: 14E05 14H70 37J35 37M15 39A12 70E40 PDFBibTeX XMLCite \textit{M. Petrera} et al., Exp. Math. 18, No. 2, 223--247 (2009; Zbl 1178.14007) Full Text: DOI arXiv Euclid
Bogdanov, A. Yu. Localization of the positive limit set of an almost periodic discrete system. (English. Russian original) Zbl 1184.37014 Math. Notes 85, No. 2, 288-292 (2009); translation from Mat. Zametki 85, No. 2, 313-317 (2009). Reviewer: Ion Mihai (Bucureşti) MSC: 37B25 39A12 37J25 PDFBibTeX XMLCite \textit{A. Yu. Bogdanov}, Math. Notes 85, No. 2, 288--292 (2009; Zbl 1184.37014); translation from Mat. Zametki 85, No. 2, 313--317 (2009) Full Text: DOI
Tsuda, Teruhisa; Grammaticos, Basil; Ramani, Alfred; Takenawa, Tomoyuki A class of integrable and nonintegrable mappings and their dynamics. (English) Zbl 1129.37032 Lett. Math. Phys. 82, No. 1, 39-49 (2007). MSC: 37J35 39A12 37J30 PDFBibTeX XMLCite \textit{T. Tsuda} et al., Lett. Math. Phys. 82, No. 1, 39--49 (2007; Zbl 1129.37032) Full Text: DOI
Kozyakin, V. S.; Krasnosel’skii, A. M.; Rachinskii, D. I. Arnold tongues in the problem of large-amplitude periodic trajectories. (English. Russian original) Zbl 1205.37065 Dokl. Math. 74, No. 3, 821-826 (2006); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 411, No. 3, 295-301 (2006). Reviewer: Vladimir P. Kostov (Nice) MSC: 37G15 34A26 34C23 34C25 PDFBibTeX XMLCite \textit{V. S. Kozyakin} et al., Dokl. Math. 74, No. 3, 821--826 (2006; Zbl 1205.37065); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 411, No. 3, 295--301 (2006) Full Text: DOI
Abenda, Simonetta; Fedorov, Yuri Closed geodesics and billiards on quadrics related to elliptic KdV solutions. (English) Zbl 1122.37041 Lett. Math. Phys. 76, No. 2-3, 111-134 (2006). MSC: 37J10 37J35 70G55 14H70 37D40 70H05 PDFBibTeX XMLCite \textit{S. Abenda} and \textit{Y. Fedorov}, Lett. Math. Phys. 76, No. 2--3, 111--134 (2006; Zbl 1122.37041) Full Text: DOI arXiv
Răsvan, Vladimir On stability zones for discrete-time periodic linear Hamiltonian systems. (English) Zbl 1133.39016 Adv. Difference Equ. 2006, Article ID 80757, 13 p. (2006). MSC: 39A12 37C20 37J25 PDFBibTeX XMLCite \textit{V. Răsvan}, Adv. Difference Equ. 2006, Article ID 80757, 13 p. (2006; Zbl 1133.39016) Full Text: DOI EuDML
Xu, Xi-Xiang Factorization of a hierarchy of the lattice soliton equations from a binary Bargmann symmetry constraint. (English) Zbl 1079.37060 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 61, No. 7, 1225-1240 (2005). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37K60 37J35 37K40 37K10 37J10 PDFBibTeX XMLCite \textit{X.-X. Xu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 61, No. 7, 1225--1240 (2005; Zbl 1079.37060) Full Text: DOI
Peng, Mingshu; Uçar, Ahmet The use of the Euler method in identification of multiple bifurcations and chaotic behavior in numerical approximation of delay-differential equations. (English) Zbl 1054.65126 Chaos Solitons Fractals 21, No. 4, 883-891 (2004). MSC: 65P30 37M20 37D45 37G15 34K28 37K50 PDFBibTeX XMLCite \textit{M. Peng} and \textit{A. Uçar}, Chaos Solitons Fractals 21, No. 4, 883--891 (2004; Zbl 1054.65126) Full Text: DOI
Fruchard, Augustin; Schäfke, Reinhard Bifurcation delay and difference equations. (English) Zbl 1041.39011 Nonlinearity 16, No. 6, 2199-2220 (2003). Reviewer: Ondřej Došlý (Brno) MSC: 39A12 34E15 37J20 PDFBibTeX XMLCite \textit{A. Fruchard} and \textit{R. Schäfke}, Nonlinearity 16, No. 6, 2199--2220 (2003; Zbl 1041.39011) Full Text: DOI
Suris, Yuri B. The problem of integrable discretization: Hamiltonian approach. (English) Zbl 1033.37030 Progress in Mathematics (Boston, Mass.) 219. Basel: Birkhäuser (ISBN 3-7643-6995-7/hbk). xxi, 1070 p. (2003). Reviewer: Ma Wen-Xiu (Tampa) MSC: 37J35 37-02 37K10 37M15 70H06 39A12 PDFBibTeX XMLCite \textit{Y. B. Suris}, The problem of integrable discretization: Hamiltonian approach. Basel: Birkhäuser (2003; Zbl 1033.37030)
Ateiwi, Ali Mahmud; Komashynska, Iryna On preservation of an invariant set of discrete system under small perturbations. (English) Zbl 1056.39015 J. Inst. Math. Comput. Sci., Math. Ser. 15, No. 2, 85-90 (2002). MSC: 39A12 37J40 37J15 37J25 PDFBibTeX XMLCite \textit{A. M. Ateiwi} and \textit{I. Komashynska}, J. Inst. Math. Comput. Sci., Math. Ser. 15, No. 2, 85--90 (2002; Zbl 1056.39015)
Itoh, Toshiaki Algebraic condition for integrable numerical algorithms. (English) Zbl 1041.65103 Kluev, V. V. (ed.) et al., Topics in applied and theoretical mathematics and computer science. Athens: WSEAS Press (ISBN 960-8052-47-6/hbk). Mathematics and Computers in Science and Engineering. A Series of Reference Books and Textbooks, 19-24 (2001). MSC: 65P10 65N06 37M15 37J35 PDFBibTeX XMLCite \textit{T. Itoh}, in: Topics in applied and theoretical mathematics and computer science. Athens: WSEAS Press. 19--24 (2001; Zbl 1041.65103)
Buslaev, V.; Fedotov, A. On the difference equations with periodic coefficients. (English) Zbl 1012.39008 Adv. Theor. Math. Phys. 5, No. 6, 1105-1168 (2001). MSC: 39A11 39A12 37J45 PDFBibTeX XMLCite \textit{V. Buslaev} and \textit{A. Fedotov}, Adv. Theor. Math. Phys. 5, No. 6, 1105--1168 (2001; Zbl 1012.39008) Full Text: DOI
Hartmann, G. C.; Radons, G.; Diebner, H. H.; Rössler, O. E. Staircase baker’s map generates flaring-type time series. (English) Zbl 1061.37065 Discrete Dyn. Nat. Soc. 5, No. 2, 107-120 (2000). MSC: 37N20 37M10 81Q50 37D45 37J99 PDFBibTeX XMLCite \textit{G. C. Hartmann} et al., Discrete Dyn. Nat. Soc. 5, No. 2, 107--120 (2000; Zbl 1061.37065) Full Text: DOI EuDML
Grammaticos, B.; Gérard, O.; Ramani, A. Integrability and chaos in discrete and ultradiscrete systems. (English) Zbl 0991.37052 Daniel, M. (ed.) et al., Nonlinear dynamics. Integrability and chaos. Proceedings of the international conference, Tiruchirapalli, India, February 12-16, 1998. New Delhi: Narosa Publishing House. 161-179 (2000). MSC: 37M05 37J99 37K60 37B15 PDFBibTeX XMLCite \textit{B. Grammaticos} et al., in: Nonlinear dynamics. Integrability and chaos. Proceedings of the international conference, Tiruchirapalli, India, February 12--16, 1998. New Delhi: Narosa Publishing House. 161--179 (2000; Zbl 0991.37052)
Maccari, Attilio A perturbation method for nonlinear two-dimensional maps. (English) Zbl 0965.65138 Nonlinear Dyn. 19, No. 4, 295-312 (1999). MSC: 65P30 39A12 37C27 37M20 37J20 PDFBibTeX XMLCite \textit{A. Maccari}, Nonlinear Dyn. 19, No. 4, 295--312 (1999; Zbl 0965.65138) Full Text: DOI
Bobenko, Alexander I.; Seiler, Ruedi Introduction to: Discrete integrable geometry and physics. (English) Zbl 0936.37027 Bobenko, Alexander I. (ed.) et al., Discrete integrable geometry and physics. Based on the conference on condensed matter physics and discrete geometry, Vienna, Austria, February 1996. Oxford: Clarendon Press. Oxf. Lect. Ser. Math. Appl. 16, xvii-xxvii (1999). Reviewer: V.A.Yumaguzhin (Pereslavl’-Zalesskij) MSC: 37J35 37N20 35-02 35Q58 PDFBibTeX XMLCite \textit{A. I. Bobenko} and \textit{R. Seiler}, Oxf. Lect. Ser. Math. Appl. 16, xvii-xxvii (1999; Zbl 0936.37027)
Katok, Anatole; Hasselblatt, Boris Introduction to the modern theory of dynamical systems. With a supplement by Anatole Katok and Leonardo Mendoza. (English) Zbl 0878.58019 Encyclopedia of Mathematics and Its Applications. 54. Cambridge: Cambridge University Press. xviii, 802 p. (1997). Reviewer: G.Ehrig (Berlin) MSC: 37Cxx 37-01 37-02 37A99 37D99 37E99 37J99 PDFBibTeX XMLCite \textit{A. Katok} and \textit{B. Hasselblatt}, Introduction to the modern theory of dynamical systems. With a supplement by Anatole Katok and Leonardo Mendoza. Cambridge: Cambridge University Press (1997; Zbl 0878.58019)
Pierre Loti Viaud, Daniel Random perturbations of recursive sequences with an application to an epidemic model. (English) Zbl 0841.58058 J. Appl. Probab. 32, No. 3, 559-578 (1995). Reviewer: W.J.Satzer jun.(St.Paul) MSC: 37J40 60J10 37N99 92D30 PDFBibTeX XMLCite \textit{D. Pierre Loti Viaud}, J. Appl. Probab. 32, No. 3, 559--578 (1995; Zbl 0841.58058) Full Text: DOI
Samoilenko, M. V. A study of a discrete dynamical system in a neighborhood of an invariant torus. (Ukrainian) Zbl 0935.37023 Ukr. Mat. Zh. 47, No. 12, 1676-1685 (1995). Reviewer: I.O.Parasyuk (Kyïv) MSC: 37J40 37G05 PDFBibTeX XMLCite \textit{M. V. Samoilenko}, Ukr. Mat. Zh. 47, No. 12, 1676--1685 (1995; Zbl 0935.37023) Full Text: DOI
Korepanov, I. G. A dynamical system connected with an inhomogeneous 6-vertex model. (English) Zbl 0907.58028 J. Math. Sci., New York 85, No. 1, 1671-1683 (1997); translation from Zap. Nauchn. Semin. POMI 215, 178-196 (1994). MSC: 37J35 37K10 82C23 14C20 14H05 PDFBibTeX XMLCite \textit{I. G. Korepanov}, J. Math. Sci., New York 85, No. 1, 178--196 (1994; Zbl 0907.58028); translation from Zap. Nauchn. Semin. POMI 215, 178--196 (1994) Full Text: EuDML
Korepanov, I. G. A dynamical system connected with inhomogeneous 6-vertex model. (English) Zbl 0869.58028 Zap. Nauchn. Semin. POMI 215, 178-196 (1994). MSC: 37J35 37K10 82C23 14C20 14H05 PDFBibTeX XMLCite \textit{I. G. Korepanov}, Zap. Nauchn. Semin. POMI 215, 178--196 (1994; Zbl 0869.58028) Full Text: arXiv EuDML
Novikov, S. P. Hydrodynamics of soliton lattices: Differential geometry and Hamiltonian formalism. (English) Zbl 0822.35114 Girardi, M. (ed.) et al., Progress in variational methods in Hamiltonian systems and elliptic equations. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 243, 144-156 (1992). Reviewer: J.Chrastina (Brno) MSC: 35Q51 37J99 39A12 PDFBibTeX XMLCite \textit{S. P. Novikov}, Pitman Res. Notes Math. Ser. 243, 144--156 (1992; Zbl 0822.35114)
Ercolani, Nicholas; Siggia, Eric D. Painlevé property and geometry. (English) Zbl 0701.58024 Physica D 34, No. 3, 303-346 (1989). Reviewer: M.Puta MSC: 37J99 70H20 PDFBibTeX XMLCite \textit{N. Ercolani} and \textit{E. D. Siggia}, Physica D 34, No. 3, 303--346 (1989; Zbl 0701.58024) Full Text: DOI
Prikarpatskij, A. K. Elements of the integrability theory of discrete dynamical systems. (English. Russian original) Zbl 0635.35083 Ukr. Math. J. 39, No. 1, 73-77 (1987); translation from Ukr. Mat. Zh. 39, No. 1, 87-92 (1987). Reviewer: A.K.Prikarpatskij MSC: 35Q99 35A30 37J99 PDFBibTeX XMLCite \textit{A. K. Prikarpatskij}, Ukr. Math. J. 39, No. 1, 73--77 (1987; Zbl 0635.35083); translation from Ukr. Mat. Zh. 39, No. 1, 87--92 (1987) Full Text: DOI
Cantarelli, Giancarlo The existence of the first integral of the energy of a constrained system. (Italian. English summary) Zbl 0623.70011 Note Mat. 6, 49-60 (1986). Reviewer: S.Nocilla MSC: 70F20 70F25 70F10 37J35 37K10 37J99 PDFBibTeX XMLCite \textit{G. Cantarelli}, Note Mat. 6, 49--60 (1986; Zbl 0623.70011)
van Til, Robert P.; Schmitendorf, William E. Global constrained holdability of discrete-time systems. (English) Zbl 0605.49026 IEEE Trans. Autom. Control 31, 761-763 (1986). Reviewer: J.Klamka MSC: 93B03 49K99 93C55 93B05 93C05 PDFBibTeX XMLCite \textit{R. P. van Til} and \textit{W. E. Schmitendorf}, IEEE Trans. Autom. Control 31, 761--763 (1986; Zbl 0605.49026) Full Text: DOI
Willems, Jan C. From time series to linear system. I: Finite dimensional linear time invariant systems. (English) Zbl 0604.62090 Automatica 22, 561-580 (1986). Reviewer: P.Morettin MSC: 62M10 93A05 PDFBibTeX XMLCite \textit{J. C. Willems}, Automatica 22, 561--580 (1986; Zbl 0604.62090) Full Text: DOI
Kigami, Jun Some predictability in one-dimensional chaotic dynamical systems arising in population models. (English) Zbl 0595.58040 Adv. Appl. Math. 6, 188-208 (1985). Reviewer: M.Farkas MSC: 37J40 92D25 PDFBibTeX XMLCite \textit{J. Kigami}, Adv. Appl. Math. 6, 188--208 (1985; Zbl 0595.58040) Full Text: DOI
Young, Lai-Sang Dimension, entropy and Lyapunov exponents in differentiable dynamical systems. (English) Zbl 0599.58022 Physica A 124, 639-646 (1984). MSC: 37J99 PDFBibTeX XMLCite \textit{L.-S. Young}, Physica A 124, 639--646 (1984; Zbl 0599.58022) Full Text: DOI
El Jai, Abdelhak; Cherkaoui, Saad; El Harraj, Abdelouahid Identifiabilité de systèmes linéaires de dimension finie à partir de mesures discrêtes. (French) Zbl 0493.93017 C. R. Acad. Sci., Paris, Sér. I 294, 601-604 (1982). MSC: 93B30 93C05 37-XX PDFBibTeX XMLCite \textit{A. El Jai} et al., C. R. Acad. Sci., Paris, Sér. I 294, 601--604 (1982; Zbl 0493.93017)
Maeda, Shigeru Symmetry aspect of discrete maximum principle. (English) Zbl 0482.49012 Math. Jap. 26, 319-326 (1981). MSC: 49K99 93C55 93C10 37J99 70H05 PDFBibTeX XMLCite \textit{S. Maeda}, Math. Japon. 26, 319--326 (1981; Zbl 0482.49012)
Belykh, V. N. Qualitative methods of the theory of nonlinear oscillations for lumped parameter systems. (Kachestvennye metody teorii nelinejnykh kolebanij sosredotochennykh sistem). (Russian) Zbl 0529.34001 Gor’kij: Izdatel’stvo Gor’kovskogo Universiteta. 100 p. (1980). MSC: 34-01 34C15 34D20 37J99 PDFBibTeX XML