Uniform sliding states in the undamped Frenkel-Kontorova model
From MaRDI portal
Publication:1958447
DOI10.1016/J.JDE.2010.07.028zbMath1196.37118OpenAlexW2089151792MaRDI QIDQ1958447
Publication date: 29 September 2010
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2010.07.028
Existence of solutions for minimax problems (49J35) Periodic solutions to functional-differential equations (34K13) Lattice dynamics; integrable lattice equations (37K60) The dynamics of infinite particle systems (70F45)
Related Items (5)
Existence and multiplicity of wave trains in a 2D diatomic face-centered lattice ⋮ Existence and modulation of uniform sliding states in driven and overdamped particle chains ⋮ Travelling heteroclinic waves in a Frenkel-Kontorova chain with anharmonic on-site potential ⋮ Modulation of uniform motion in diatomic Frenkel-Kontorova model ⋮ Periodic travelling waves on damped 2D lattices with oscillating external forces *
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Periodic travelling waves in convex Klein-Gordon chains
- Dynamics of the overdamped coupled Josephson junctions with an interference term
- Solitary waves for nonconvex FPU lattices
- Dynamics of circular arrays of Josephson junctions and the discrete sine-Gordon equation
- Travelling wave solutions for the discrete sine-Gordon equation with nonlinear pair interaction
- Critical point theory and Hamiltonian systems
- Existence theorem for solitary waves on lattices
- Single waveform solutions for linear arrays of Josephson junctions
- Solitary waves with prescribed speed on infinite lattices
- Kink shape modes and resonant dynamics in sine-lattices
- Travelling waves in a chain of coupled nonlinear oscillators
- Nonlinear modes in coupled rotator models
- Minimax theorems
- Kink-like periodic travelling waves for lattice equations with on-site and inter-site potentials
- Instability of breathers in the topological discrete sine-Gordon system
- Ponies on a merry-go-round in large arrays of Josephson junctions
- Topological Degree Approach to Bifurcation Problems
- Stability of Single-Wave-Form Solutions in the Underdamped Frenkel–Kontorova Model
- Periodic permanent waves in an anharmonic chain with nearest-neighbour interaction
- Breathers in the weakly coupled topological discrete sine-Gordon system
- Existence and modulation of traveling waves in particles chains
- Limit and uniqueness of discrete rotating waves in large arrays of Josephson junctions
- Splay-Phase Orbits for Equivariant Flows on Tori
- Existence, Uniqueness, and Nonuniqueness of Single-Wave-Form Solutions to Josephson Junction Systems
- A novel preserved partial order for cooperative networks of units with overdamped second order dynamics, and application to tilted Frenkel–Kontorova chains
- Travelling waves in Hamiltonian systems on 2D lattices with nearest neighbour interactions
- Existence of Travelling Waves in Discrete Sine-Gordon Rings
This page was built for publication: Uniform sliding states in the undamped Frenkel-Kontorova model
