Basins of Attraction and Transient Chaos in a Gear-Rattling Model

DOI10.1177/107754630100700605zbMath1032.70014OpenAlexW1999621897MaRDI QIDQ4786654

Iberê L. Caldas, Silvio Luiz Thomaz de Souza

Publication date: 18 March 2004

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/107754630100700605

zbMATH Keywords

topologychaotic attractorglobal bifurcationscontrol parametercrisisperiodic attractorimpact model

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Dynamical systems in classical and celestial mechanics (37N05) Collision of rigid or pseudo-rigid bodies (70F35)

Related Items (10)

Sudden changes in chaotic attractors and transient basins in a model for rattling in gearboxes ⋮ Identifying stochastic basin hopping by partitioning with graph modularity ⋮ Dynamics and SC-CNN circuit implementation of a periodically forced non-smooth mechanical system ⋮ Detection and Classification of Solutions for Systems Interacting by Soft Impacts with Sample-Based Method ⋮ An Investigation of the Chaotic Transient for a Boundary Crisis in the Fermi-Ulam Model ⋮ Calculation of Lyapunov exponents in systems with impacts ⋮ Controlling chaotic orbits in mechanical systems with impacts ⋮ Computation of the Lyapunov exponents in the compass-gait model under OGY control via a hybrid Poincaré map ⋮ Noise-induced basin hopping in a gearbox model ⋮ Saddle-point solutions and grazing bifurcations in an impacting system

Cites Work

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• Bifurcations and chaos in a forced zero-stiffness impact oscillator
• Dynamics of oscillators with impact and friction
• An investigation of the dynamic system with impacts.
• Co-existing attractors of impact oscillator
• Universal behavior of impact oscillators near grazing incidence
• Chaos, Strange Attractors, and Fractal Basin Boundaries in Nonlinear Dynamics
• Transition to chaotic motion in mechanical systems with impacts
• Crises, sudden changes in chaotic attractors, and transient chaos

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