Nonexistence of slow heteroclinic travelling waves for a bistable Hamiltonian lattice model

DOI10.1007/s00332-012-9131-8zbMath1372.37120OpenAlexW2025569183WikidataQ59902180 ScholiaQ59902180MaRDI QIDQ1935544

Daniel C. Sutton, Hartmut R. Schwetlick, Johannes Zimmer

Publication date: 18 February 2013

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: http://opus.bath.ac.uk/30383/1/Zimmer_Journal%2DNonlinear%2DScience_2012.pdf

zbMATH Keywords

latticetravelling wavesFermi-Pasta-Ulam chainstress-strain relationpiecewise linearadvance-delay differential equation

Mathematics Subject Classification ID

Nonlinear waves in solid mechanics (74J30) Dynamical systems in solid mechanics (37N15) Ordinary differential equations of infinite order (34A35) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Lattice dynamics; integrable lattice equations (37K60)

Related Items (2)

Kinetic relations for a lattice model of phase transitions ⋮ On selection criteria for problems with moving inhomogeneities

Cites Work

• Solitary waves for nonconvex FPU lattices
• Kinetic relations for a lattice model of phase transitions
• Transition waves in bistable structures. II: Analytical solution: wave speed and energy dissipation
• Existence of Dynamic Phase Transitions in a One-Dimensional Lattice Model with Piecewise Quadratic Interaction Potential
• Kinetics of Martensitic Phase Transitions: Lattice model
• Dynamics of chains with non-monotone stress-strain relations. I: Model and numerical experiments
• Dynamics of chains with non-monotone stress-strain relations. II: Nonlinear waves and waves of phase transition
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Nonexistence of slow heteroclinic travelling waves for a bistable Hamiltonian lattice model