CAPTURING THE SYMMETRY OF ATTRACTORS AND THE TRANSITION TO SYMMETRIC CHAOS IN A VIBRO-IMPACT SYSTEM

DOI10.1142/S021812741250109XzbMath1258.70030OpenAlexW1978906785MaRDI QIDQ4908731

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Publication date: 6 March 2013

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

Full work available at URL: https://doi.org/10.1142/s021812741250109x

zbMATH Keywords

symmetryattractorPoincaré sectionvibro-impacttransition to symmetric chaos

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (2)

Bifurcations of the symmetric quasi-periodic motion and Lyapunov dimension of a vibro-impact system ⋮ Coexistence of strange nonchaotic attractors and a special mixed attractor caused by a new intermittency in a periodically driven vibro-impact system

Cites Work

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• Calculation of Lyapunov exponents in systems with impacts
• Period-doubling induced chaotic motion in the LR model of a horizontal impact oscillator
• Estimation of the largest Lyapunov exponent in systems with impacts
• Rising phenomena and the multi-sliding bifurcation in a two-degree of freedom impact oscillator
• A method for calculating the spectrum of Lyapunov exponents by local maps in non-smooth impact-vibrating systems
• ON IMPACT DAMPERS FOR NON-LINEAR VIBRATING SYSTEMS
• The dynamics of repeated impacts with a sinusoidally vibrating table
• Singularities in vibro-impact dynamics

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