On chaos and fractal behavior in a generalized Duffing's system

DOI10.1016/0167-2789(88)90051-6zbMath0671.58027OpenAlexW1990018592MaRDI QIDQ1119243

Charles Pezeshki, Earl. H. Dowell

Publication date: 1988

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(88)90051-6

zbMATH Keywords

chaosDuffing's systemabsorption ratesattracting basin structure

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items

Doubling bifurcations of destroyed \(\mathbb{T}^ 2\) tori ⋮ A continuation algorithm for discovering new chaotic motions in forced Duffing systems ⋮ Chaotic behaviour in deformable models: The asymmetric doubly periodic oscillators ⋮ Dynamics of a nonlinear electromechanical system with multiple functions in series ⋮ Chaotic Responses in a Stable Duffing System of Non-ideal Type ⋮ Dynamics of an electromechanical damping device with magnetic coupling ⋮ A chaotic limit cycle paradox ⋮ Stability and optimization of chaos synchronization through feedback coupling with delay ⋮ Dynamics and active control of motion of a particle in a \(\phi^6\) potential with a parametric forcing

Cites Work

• Unnamed Item
• Fractal basin boundaries
• Numerical simulations of periodic and chaotic responses in a stable Duffing system
• An examination of initial condition maps for the sinusoidally excited buckled beam modeled by the Duffing's equation
• A magnetoelastic strange attractor