Stability and bifurcations of a stationary state for an impact oscillator

DOI10.1063/1.166039zbMath1055.34503OpenAlexW2020806878WikidataQ52916653 ScholiaQ52916653MaRDI QIDQ4526318

Ram B. Gupta, Hayley H. Shen, Jan-Olov Aidanpää

Publication date: 16 January 2001

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.166039

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Plastic materials, materials of stress-rate and internal-variable type (74C99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Stability theory for ordinary differential equations (34D99)

Related Items (5)

Stochastic responses of Van der Pol vibro-impact system with fractional derivative damping excited by Gaussian white noise ⋮ Impulsive control of a class of vibro-impact systems ⋮ MULTISTABILITY, BASIN BOUNDARY STRUCTURE, AND CHAOTIC BEHAVIOR IN A SUSPENSION BRIDGE MODEL ⋮ Basins of attraction changes by amplitude constraining of oscillators with limited power supply ⋮ Dynamics of Dissipative Systems with Hamiltonian Structures

Cites Work

• On the dynamics and stability of an inclined impact pair
• Stable periodic motions of an impact-pair
• Stable periodic vibroimpacts of an oscillator
• A periodically forced piecewise linear oscillator
• Differentiable dynamical systems

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