Approximate solutions and chaotic motions of a piecewise nonlinear-linear oscillator
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Publication:1878147
DOI10.1016/j.chaos.2003.09.022zbMath1063.70020OpenAlexW2008315397MaRDI QIDQ1878147
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/j.chaos.2003.09.022
Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Dynamical systems in classical and celestial mechanics (37N05)
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Cites Work
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- Determining Lyapunov exponents from a time series
- Local analysis of \(C\)-bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
- Modelling of dynamical systems with motion-dependent discontinuities
- Estimation of the largest Lyapunov exponent in systems with impacts
- Periodic solutions and bifurcations in an impact-inverted pendulum under impulsive excitation
- Border-collision bifurcations on a two-dimensional torus
- Low-velocity impacts of quasiperiodic oscillations.
- Dynamics of oscillators with impact and friction
- Co-existing attractors of impact oscillator
- Perturbation methods and non-linear hyperbolic waves
- Analysis of period-doubling and chaos of a non-symmetric oscillator with piecewise-linearity
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