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Local chaotic behaviour in the Fermi-Pasta-Ulam system
1. | Dipartimento di Matematica e Applicazioni, Università di Milano Bicocca, Via R. Cozzi 53, 20125 - Milano, Italy, Italy, Italy |
[1] |
Michael Kastner, Jacques-Alexandre Sepulchre. Effective Hamiltonian for traveling discrete breathers in the FPU chain. Discrete and Continuous Dynamical Systems - B, 2005, 5 (3) : 719-734. doi: 10.3934/dcdsb.2005.5.719 |
[2] |
Joseph A. Biello, Peter R. Kramer, Yuri Lvov. Stages of energy transfer in the FPU model. Conference Publications, 2003, 2003 (Special) : 113-122. doi: 10.3934/proc.2003.2003.113 |
[3] |
Peter R. Kramer, Joseph A. Biello, Yuri Lvov. Application of weak turbulence theory to FPU model. Conference Publications, 2003, 2003 (Special) : 482-491. doi: 10.3934/proc.2003.2003.482 |
[4] |
Liping Zhang. A nonlinear complementarity model for supply chain network equilibrium. Journal of Industrial and Management Optimization, 2007, 3 (4) : 727-737. doi: 10.3934/jimo.2007.3.727 |
[5] |
Dmitry Treschev. Travelling waves in FPU lattices. Discrete and Continuous Dynamical Systems, 2004, 11 (4) : 867-880. doi: 10.3934/dcds.2004.11.867 |
[6] |
Luisa Berchialla, Luigi Galgani, Antonio Giorgilli. Localization of energy in FPU chains. Discrete and Continuous Dynamical Systems, 2004, 11 (4) : 855-866. doi: 10.3934/dcds.2004.11.855 |
[7] |
Tomasz Komorowski, Łukasz Stȩpień. Kinetic limit for a harmonic chain with a conservative Ornstein-Uhlenbeck stochastic perturbation. Kinetic and Related Models, 2018, 11 (2) : 239-278. doi: 10.3934/krm.2018013 |
[8] |
Alberto Bressan, Marco Mazzola, Hongxu Wei. A dynamic model of the limit order book. Discrete and Continuous Dynamical Systems - B, 2020, 25 (3) : 1015-1041. doi: 10.3934/dcdsb.2019206 |
[9] |
Hua Chen, Jian-Meng Li, Kelei Wang. On the vanishing viscosity limit of a chemotaxis model. Discrete and Continuous Dynamical Systems, 2020, 40 (3) : 1963-1987. doi: 10.3934/dcds.2020101 |
[10] |
Frank Jochmann. A singular limit in a nonlinear problem arising in electromagnetism. Communications on Pure and Applied Analysis, 2011, 10 (2) : 541-559. doi: 10.3934/cpaa.2011.10.541 |
[11] |
Marcel Freitag. The fast signal diffusion limit in nonlinear chemotaxis systems. Discrete and Continuous Dynamical Systems - B, 2020, 25 (3) : 1109-1128. doi: 10.3934/dcdsb.2019211 |
[12] |
Olexiy V. Kapustyan, Pavlo O. Kasyanov, José Valero. Chain recurrence and structure of $ \omega $-limit sets of multivalued semiflows. Communications on Pure and Applied Analysis, 2020, 19 (4) : 2197-2217. doi: 10.3934/cpaa.2020096 |
[13] |
Marie Henry. Singular limit of an activator-inhibitor type model. Networks and Heterogeneous Media, 2012, 7 (4) : 781-803. doi: 10.3934/nhm.2012.7.781 |
[14] |
Elisabeth Logak, Chao Wang. The singular limit of a haptotaxis model with bistable growth. Communications on Pure and Applied Analysis, 2012, 11 (1) : 209-228. doi: 10.3934/cpaa.2012.11.209 |
[15] |
Lukas Neumann, Christian Schmeiser. A kinetic reaction model: Decay to equilibrium and macroscopic limit. Kinetic and Related Models, 2016, 9 (3) : 571-585. doi: 10.3934/krm.2016007 |
[16] |
Donatella Donatelli, Bernard Ducomet, Šárka Nečasová. Low Mach number limit for a model of accretion disk. Discrete and Continuous Dynamical Systems, 2018, 38 (7) : 3239-3268. doi: 10.3934/dcds.2018141 |
[17] |
Seung-Yeal Ha, Jinwook Jung, Jeongho Kim, Jinyeong Park, Xiongtao Zhang. A mean-field limit of the particle swarmalator model. Kinetic and Related Models, 2021, 14 (3) : 429-468. doi: 10.3934/krm.2021011 |
[18] |
Ho-Youn Kim, Yong-Jung Kim, Hyun-Jin Lim. Heterogeneous discrete kinetic model and its diffusion limit. Kinetic and Related Models, 2021, 14 (5) : 749-765. doi: 10.3934/krm.2021023 |
[19] |
Vaughn Climenhaga. A note on two approaches to the thermodynamic formalism. Discrete and Continuous Dynamical Systems, 2010, 27 (3) : 995-1005. doi: 10.3934/dcds.2010.27.995 |
[20] |
Yong Fang. Thermodynamic invariants of Anosov flows and rigidity. Discrete and Continuous Dynamical Systems, 2009, 24 (4) : 1185-1204. doi: 10.3934/dcds.2009.24.1185 |
2020 Impact Factor: 1.327
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