A kind of noise-induced transition to noisy chaos in stochastically perturbed dynamical system

DOI10.1007/s10409-012-0084-9zbMath1345.70026OpenAlexW1996152077MaRDI QIDQ315341

Hua Lei, Shi-Xi Yang, Chun-Biao Gan

Publication date: 21 September 2016

Published in: Acta Mechanica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10409-012-0084-9

zbMATH Keywords

stochastic excitationdynamical systemnoise-induced transition to chaosspecific Poincaré map

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (3)

Quasi-threshold phenomenon in noise-driven Higgins model ⋮ Bifurcation Analysis and Vibration Signal Identification for a Motorized Spindle with Random Uncertainty ⋮ Dynamical analysis and performance evaluation of a biped robot under multi-source random disturbances

Cites Work

• Strange attractors that are not chaotic
• Slow sweep through a period-doubling cascade: Delayed bifurcations and renormalisation
• Chaos, fractals, and noise: Stochastic aspects of dynamics.
• Noise-induced chaos and phase space flux
• Noise-induced chaos in Duffing oscillator with double wells
• Noise-induced chaos and basin erosion in softening Duffing oscillator
• Random Vibration: A Survey of Recent Developments
• Specific Poincaré map for a randomly-perturbed nonlinear oscillator
• Torus breakdown and noise-induced dynamics in the randomly driven Morse oscillator
• Stochastic Dynamics
• Analysis of a Nonlinear System Exhibiting Chaotic, Noisy Chaotic, and Random Behaviors
• Deterministic Nonperiodic Flow
• Mathematical Analysis of Random Noise
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A kind of noise-induced transition to noisy chaos in stochastically perturbed dynamical system