Explanation of appearance and characteristics of intermittency chaos of the impact oscillator

DOI10.1016/S0960-0779(03)00327-8zbMath1075.37536OpenAlexW2013145460MaRDI QIDQ1877973

František Peterka, Stanislav Čipera, Tadashi Kotera

Publication date: 19 August 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(03)00327-8

zbMATH Keywords

instabilitychaotic motionnumerical simulationssaddle-node stability boundaries

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Bifurcations and instability for nonlinear problems in mechanics (70K50) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Simulation of dynamical systems (37M05) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (13)

Phenomena of subharmonic motions of oscillator with soft impacts ⋮ Dynamics of an impact-progressive system ⋮ Dynamic analysis and suppressing chaotic impacts of a two-degree-of-freedom oscillator with a clearance ⋮ Torus \(T^{2}\) and its locking, doubling, chaos of a vibro-impact system ⋮ Stochastic vibration analysis of a nonlinear oscillator with symmetric viscoelastic impact protection under wide-band noise excitations ⋮ 1:3 resonance bifurcation of a three-degree-of-freedom vibratory system with symmetrical rigid stops ⋮ Probabilistic response analysis for a class of nonlinear vibro-impact oscillator with bilateral constraints under colored noise excitation ⋮ Basins of attraction changes by amplitude constraining of oscillators with limited power supply ⋮ Correlation dimension and bifurcation analysis for the planar slider-crank mechanism with multiple clearance joints ⋮ Dynamics of a small vibro-impact pile driver ⋮ Bifurcation sequences of vibroimpact systems near a 1:2 strong resonance point ⋮ Periodic-impact motions and bifurcations in dynamics of a plastic impact oscillator with a frictional slider ⋮ Control of impact oscillator

Cites Work

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