Determining Lyapunov spectrum and Lyapunov dimension based on the Poincaré map in a vibro-impact system
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Publication:1928968
DOI10.1007/s11071-011-0301-2zbMath1298.70032OpenAlexW2009247600MaRDI QIDQ1928968
Yuan Yue, Xuejun Gao, Jian-Hua Xie
Publication date: 4 January 2013
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-011-0301-2
Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Dynamical systems in classical and celestial mechanics (37N05) Collision of rigid or pseudo-rigid bodies (70F35)
Related Items (5)
Two-parameter bifurcations of an impact system under different damping conditions ⋮ Multistability of a three-degree-of-freedom vibro-impact system ⋮ Global dynamics of a non-smooth system with elastic and rigid impacts and dry friction ⋮ Homoclinic bifurcation in a quasiperiodically excited impact inverted pendulum ⋮ Dynamics of a vibro-impact system by the global analysis method in parameter-state space
Cites Work
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- A method for Lyapunov spectrum estimation using cloned dynamics and its application to the discontinuously-excited FitzHugh-Nagumo model
- Lyapunov exponents and coexistence of attractors in vibro-impact systems with symmetric two-sided rigid constraints
- Calculation of Lyapunov exponents for dynamic systems with discontinuities.
- Hopf bifurcations and chaos of a two-degree-of-freedom vibro-impact system in two strong resonance cases
- Hopf-Hopf bifurcation and invariant torus \(T^{2}\) of a vibro-impact system
- Stability analysis and Lyapunov exponents of a multi-body mechanical system with rigid unilateral constraints
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- The Lyapunov dimension of strange attractors
- Determining Lyapunov exponents from a time series
- Some relations between dimension and Lyapunov exponents
- Estimation of the dominant Lyapunov exponent of non-smooth systems on the basis of maps synchronization.
- Calculation of Lyapunov exponents in systems with impacts
- Estimation of the largest Lyapunov exponent in systems with impacts
- Computing Lyapunov exponents of continuous dynamical systems: Method of Lyapunov vectors
- Stability of singular periodic motions in a vibro-impact oscillator
- A method for calculating the spectrum of Lyapunov exponents by local maps in non-smooth impact-vibrating systems
- Ergodic theory of chaos and strange attractors
- HOPF BIFURCATION OF A TWO-DEGREE-OF-FREEDOM VIBRO-IMPACT SYSTEM
- Bifurcations and chaos in a system with impacts
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