Chaotic behavior in deformable models: The double-well doubly periodic oscillators

DOI10.1016/S0960-0779(99)00170-8zbMath1044.70013OpenAlexW2008352556MaRDI QIDQ1425430

E. Coquet, P. Tchofo Dinda, Laurent Nana, Timoléon Créprin Kofané

Publication date: 21 March 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(99)00170-8

zbMATH Keywords

Melnikov functionbifurcation diagramLyapunov exponent

Mathematics Subject Classification ID

Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Dynamical systems in classical and celestial mechanics (37N05) Dynamical systems methods for problems in mechanics (70G60)

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Orbital stability and homoclinic bifurcation in a parametrized deformable double-well potential ⋮ Resonant oscillation and homoclinic bifurcation in a \(\Phi^{6}\)-van der Pol oscillator ⋮ Stick-slip motion in a driven two-nonsinusoidal Remoissenet-Peyrard potential ⋮ Chaotic behaviour in deformable models: The asymmetric doubly periodic oscillators ⋮ Chaotic responses of a deformable system under parametric and external excitations.

Cites Work

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