Chaotic breathers of two types in a two-dimensional Morse lattice with an on-site harmonic potential

DOI10.1016/j.physd.2006.10.017zbMath1113.82043OpenAlexW2034928814MaRDI QIDQ870854

Takuji Kawahara, Bao-Feng Feng, Yusuke Doi, Kousuke Ikeda

Publication date: 15 March 2007

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2006.10.017

zbMATH Keywords

discrete breatherMorse potentialtwo-dimensional latticechaotic breather

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60)

Related Items (10)

Supersonic voidions in 2D Morse lattice ⋮ Superconducting metamaterials ⋮ Chaotic discrete breathers and their effect on macroscopic properties of triangular lattice ⋮ Magnon-lattice dynamics in a Heisenberg-Morse model with spin-lattice interaction ⋮ Discrete breathers in two-dimensional nonlinear lattices ⋮ Delocalized nonlinear vibrational modes in fcc metals ⋮ Effect of discrete breathers on the specific heat of a nonlinear chain ⋮ Stable and metastable states and the formation and destruction of breathers in the discrete nonlinear Schrödinger equation ⋮ Frequency-momentum representation of moving breathers in a two dimensional hexagonal lattice ⋮ Nonlinear propagating localized modes in a 2D hexagonal crystal lattice

Cites Work

• Unnamed Item
• Breathers in nonlinear lattices: existence, linear stability and quantization
• Localization and coherence in nonintegrable systems
• Temporal Fourier spectra of stationary and slowly moving breathers in Fermi-Pasta-Ulam anharmonic lattice
• Existence and stability of breathers in lattices of weakly coupled two-dimensional near-integra\-ble Hamiltonian oscillators
• Modulational instability and wave localisation in Toda lattice with elastic substrate effect
• The anti-FPU problem
• Chaotic breather formation, coalescence, and evolution to energy equipartition in an oscillatory chain
• Standing wave instabilities in a chain of nonlinear coupled oscillators

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