Estimation of the largest Lyapunov exponent in systems with impacts
From MaRDI portal
Publication:1587251
DOI10.1016/S0960-0779(00)00029-1zbMath0963.70018OpenAlexW2095528150MaRDI QIDQ1587251
Publication date: 20 November 2000
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0960-0779(00)00029-1
largest Lyapunov exponentnon-symmetric couplingDuffing oscillator with impactssymmetric negative feedback couplingsynchronization phenomenon
Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Nonlinear dynamics in mechanics (70K99)
Related Items (30)
Approximate solutions and chaotic motions of a piecewise nonlinear-linear oscillator ⋮ Approximate and efficient calculation of dominant Lyapunov exponents of high-dimensional nonlinear dynamic systems ⋮ Lyapunov exponents for discontinuous dynamical systems of Filippov type ⋮ FFT bifurcation analysis of routes to chaos via quasiperiodic solutions ⋮ Asymptotic theory of chaotic synchronization for dissipative-coupled dynamical systems ⋮ C-oscillators and stability of stationary cluster structures in lattices of diffusively coupled oscillators ⋮ Estimating the largest Lyapunov exponent in a multibody system with dry friction by using chaos synchronization ⋮ Determining Lyapunov spectrum and Lyapunov dimension based on the Poincaré map in a vibro-impact system ⋮ Fuzzy Lyapunov exponents placement for chaos stabilization ⋮ A method for Lyapunov spectrum estimation using cloned dynamics and its application to the discontinuously-excited FitzHugh-Nagumo model ⋮ Estimation of the largest Lyapunov exponent from the perturbation vector and its derivative dot product ⋮ Estimation of Lyapunov exponents for a system with sensitive friction model ⋮ Estimation of the dominant Lyapunov exponent of non-smooth systems on the basis of maps synchronization. ⋮ Lyapunov exponents for complex systems with delayed feedback. ⋮ Calculating the Lyapunov exponents of a piecewise-smooth soft impacting system with a time-delayed feedback controller ⋮ Lyapunov exponents and coexistence of attractors in vibro-impact systems with symmetric two-sided rigid constraints ⋮ Smoothing non-smooth systems with low-pass filters ⋮ Calculation of Lyapunov exponents in systems with impacts ⋮ A novel method based on the pseudo-orbits to calculate the largest Lyapunov exponent from chaotic equations ⋮ Stability analysis via the concept of Lyapunov exponents: a case study in optimal controlled biped standing ⋮ HYPERBOLIC-LIKE PROPERTIES OF POPP'S ATTRACTOR ⋮ Computation of the Lyapunov exponents in the compass-gait model under OGY control via a hybrid Poincaré map ⋮ CAPTURING THE SYMMETRY OF ATTRACTORS AND THE TRANSITION TO SYMMETRIC CHAOS IN A VIBRO-IMPACT SYSTEM ⋮ Synchronization and Controlling Chaos in a Permanent Magnet Synchronous Motor ⋮ Evaluation of the largest Lyapunov exponent in dynamical systems with time delay ⋮ Numerical simulation of the soft contact dynamics of an impacting bilinear oscillator ⋮ Lateral Dynamics of Walking-Like Mechanical Systems and Their Chaotic Behavior ⋮ On stability analysis via Lyapunov exponents calculated based on radial basis function networks ⋮ Analysis of bifurcations for non-linear stochastic non-smooth vibro-impact system via top Lyapunov exponent ⋮ Pullback exponential attractors for nonautonomous Klein-Gordon-Schrödinger equations on infinite lattices
Cites Work
- Unnamed Item
- Calculation of Lyapunov exponents for dynamic systems with discontinuities.
- Determining Lyapunov exponents from a time series
- Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
- Dynamics of oscillators with impact and friction
- Stability Theory of Synchronized Motion in Coupled-Oscillator Systems
- Using chaos synchronization to estimate the largest Lyapunov exponent of nonsmooth systems
This page was built for publication: Estimation of the largest Lyapunov exponent in systems with impacts
