Complex Dynamics and Statistics of 1-D Hamiltonian Lattices: Long Range Interactions and Supratransmission

DOI10.33581/1561-4085-2020-23-2-133-148zbMath1461.37076OpenAlexW3047233723MaRDI QIDQ5145568

Anastasios Bountis

Publication date: 21 January 2021

Published in: Nonlinear Phenomena in Complex Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33581/1561-4085-2020-23-2-133-148

zbMATH Keywords

chaotic behaviorstatisticsHamiltonian latticeconservative physical systems

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamical aspects of statistical mechanics (37A60) Lattice dynamics; integrable lattice equations (37K60) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

Related Items (2)

Discrete breathers in a \(\beta\)-FPUT square lattice from in-band external driving ⋮ Fractional dynamics and modulational instability in long-range Heisenberg chains

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