``Horseshoe chaos in the space-independent double sine-Gordon system

DOI10.1016/0165-2125(86)90039-9zbMath0621.70021OpenAlexW2082403898WikidataQ62601173 ScholiaQ62601173MaRDI QIDQ1090478

Peter Leth Christiansen, Mario Salerno, Michele V. Bartuccelli, Niels Falsig Pedersen

Publication date: 1986

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(86)90039-9

zbMATH Keywords

nonlinear oscillationsbifurcation theorynonlinear pendulumMelnikov techniquehorseshoe chaosdriven, damped space- independent double sine-Gordon equationnon-sinusoidal potential

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Local and nonlocal bifurcation theory for dynamical systems (37G99) Nonlinear resonances for nonlinear problems in mechanics (70K30) Morse-Smale systems (37D15)

Related Items (2)

KdV solitons in active media ⋮ Prediction of horseshoe chaos in BVP and DVP oscillators

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• A mechanical analog for the double sine-Gordon equation
• Solitons and condensed matter physics. Proceedings of the symposium on nonlinear (soliton) structure and dynamics in condensed matter. Oxford, England, June 27-29, 1978
• Unnamed Item

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