Nonlinear modes in coupled rotator models

DOI10.1016/0167-2789(95)00284-7zbMath0885.35110OpenAlexW1989057814MaRDI QIDQ1912481

Shozo Takeno, Michel Peyrard

Publication date: 7 May 1996

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

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00284-7

zbMATH Keywords

sine-Gordon equationHirota's bilinear methodnonlinear Klein-Gordon equationsharmonic couplingrotating modesnonlinear oscillatory modessine-lattice equationssinuoidal coupling

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Related Items (16)

Inertial effect on frequency synchronization for the second-order Kuramoto model with local coupling ⋮ Bistability of rotational modes in a system of coupled pendulums ⋮ Kink shape modes and resonant dynamics in sine-lattices ⋮ Semi-discrete breather in a helicoidal DNA double chain-model ⋮ Uniform sliding states in the undamped Frenkel-Kontorova model ⋮ Intrinisc localized modes: Discrete breathers. Existence and linear stability ⋮ Josephson-junction ladder: A benchmark for nonlinear concepts ⋮ Discrete breathers in Fermi–Pasta–Ulam lattices ⋮ Wave scattering by discrete breathers ⋮ Dissipative discrete breathers: Periodic, quasiperiodic, chaotic, and mobile ⋮ Nonlinear modes in helical lattices: localized modes and kinks ⋮ Stretched-exponential relaxation in arrays of coupled rotators ⋮ Discrete breathers: localization and transfer of energy in discrete Hamiltonian nonlinear systems ⋮ Breathers in nonlinear lattices: existence, linear stability and quantization ⋮ Stability of discrete breathers ⋮ Moving discrete breathers?

Cites Work

• Unnamed Item
• Localized breather-like solution in a discrete Klein-Gordon model and application to DNA
• Solitons on lattices
• High order breather solutions to a discrete nonlinear Klein-Gordon model
• A Coupled Base-Rotator Model for Structure and Dynamics of DNA: Local Fluctuations in Helical Twist Angles and Topological Solitons
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators

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