ON THE ROLE OF CHAOTIC SADDLES IN GENERATING CHAOTIC DYNAMICS IN NONLINEAR DRIVEN OSCILLATORS

DOI10.1142/S0218127405012727zbMath1089.37030OpenAlexW2068080298MaRDI QIDQ5702213

Elżbieta Tyrkiel

Publication date: 1 November 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127405012727

zbMATH Keywords

chaotic saddlechaotic transientfractal basin boundaryGlobal bifurcationhorseshoe-type dynamicssaddle straddle trajectory

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)

Related Items (7)

Transition to chaos in the self-excited system with a cubic double well potential and parametric forcing ⋮ ROLES OF CHAOTIC SADDLE AND BASIN OF ATTRACTION IN BIFURCATION AND CRISIS ANALYSIS ⋮ Unnamed Item ⋮ Oscillators with asymmetric single and double well potentials: transition to chaos revisited ⋮ Chaotic vibration of a quarter-car model excited by the road surface profile ⋮ A Bayesian nonparametric approach to the approximation of the global stable manifold ⋮ NONLINEAR DYNAMIC BEHAVIOR OF A ROTOR ACTIVE MAGNETIC BEARING

Cites Work

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• Explosions of chaotic sets
• Common features of the onset of the persistent chaos in nonlinear oscillators: a phenomenological approach
• Metamorphosis of chaotic saddle
• Outer Tangency Bifurcations of Chaotic Sets
• Differentiable dynamical systems

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