Chaotic invariant sets of vibro-impact systems with one degree of freedom

DOI10.1134/S1064562406050152zbMath1149.34327OpenAlexW2043555573MaRDI QIDQ2477496

Sergey Kryzhevich

Publication date: 13 March 2008

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562406050152

zbMATH Keywords

chaotic systemsnonlinear ordinary differential equationsdiscontinuous ordinary differential equations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Discontinuous ordinary differential equations (34A36) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (2)

Chaotic modes of systems described by the Liénard equations with a large period of the right-hand side and impact conditions ⋮ Statistical description of the limiting set for chaotic motions of the vibro-impact system

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Uniqueness and continuous dependence on data for one-dimensional impact problems.
• Universal behavior of impact oscillators near grazing incidence
• Global dynamics of a vibro-impacting linear oscillator
• The dynamics of repeated impacts with a sinusoidally vibrating table
• Robust Chaos

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