Chaotic motion under parametric excitation

DOI10.1080/02681118908806067zbMath0688.58026OpenAlexW2030298254MaRDI QIDQ4207406

Wei-Chau Xie, S. T. Ariaratnam, Edward R. Vrscay

Publication date: 1989

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02681118908806067

zbMATH Keywords

chaosstrange attractorsMelnikov's methodforced motions

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (6)

Dynamical analysis of a compound oscillator with initial phase difference ⋮ Existence and characterization of strange nonchaotic attractors in nonlinear systems ⋮ Local bifurcations and codimension-3 degenerate bifurcations of a quintic nonlinear beam under parametric excitation ⋮ Nonintegrability of parametrically forced nonlinear oscillators ⋮ Periodic and chaotic motions of an unsymmetrical oscillator in nonlinear structural dynamics ⋮ Effect of bounded noise on chaotic motion of Duffing oscillator under parametric excitation

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• Entropy, Lyapunov exponents, and Hausdorff dimension in differentiable dynamical systems
• A nonlinear oscillator with a strange attractor
• Averaging and Chaotic Motions in Forced Oscillations
• Second order averaging and bifurcations to subharmonics in duffing's equation
• A magnetoelastic strange attractor
• Differentiable dynamical systems
• ON THREE-DIMENSIONAL DYNAMICAL SYSTEMS CLOSE TO SYSTEMS WITH A STRUCTURALLY UNSTABLE HOMOCLINIC CURVE. I

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