Integrable discrete static Hamiltonian with a parametric double-well potential

DOI10.1016/J.PHYSLETA.2008.10.009zbMath1227.70019OpenAlexW2067075052MaRDI QIDQ646903

Alain M. Dikandé, E. Epie Njumbe, Timoléon Créprin Kofané

Publication date: 30 November 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.10.009

zbMATH Keywords

solitonsnonlinear dynamics and chaosgeneral theory of classical mechanics of discrete systems

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Soliton solutions (35C08)

Related Items (2)

Orbital stability and homoclinic bifurcation in a parametrized deformable double-well potential ⋮ Bifurcation and chaos in one dimensional chains of small particles

Cites Work

• Unnamed Item
• Integrable mappings and soliton equations. II
• Analytical calculation of the Peierls-Nabarro pinning barrier for one-dimensional parametric double-well models
• A discrete $\phi^4$ system without a Peierls - Nabarro barrier
• Breathers in the weakly coupled topological discrete sine-Gordon system
• Topological discrete kinks
• Kink dynamics in a novel discrete sine-Gordon system
• Discrete Klein–Gordon models with static kinks free of the Peierls–Nabarro potential

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