A GLOBAL PERIOD-1 MOTION OF A PERIODICALLY EXCITED, PIECEWISE-LINEAR SYSTEM

DOI10.1142/S0218127405013071zbMath1092.70514OpenAlexW2076623540MaRDI QIDQ5474272

Santhosh Menon, Albert C. J. Luo

Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127405013071

zbMATH Keywords

stabilitybifurcationPoincaré mapping

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Bifurcations and instability for nonlinear problems in mechanics (70K50) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (6)

DYNAMICS OF A HARMONICALLY EXCITED OSCILLATOR WITH DRY-FRICTION ON A SINUSOIDALLY TIME-VARYING, TRAVELING SURFACE ⋮ A periodically forced, piecewise linear system. II: The fragmentation mechanism of strange attractors and grazing ⋮ On motions and switchability in a periodically forced, discontinuous system with a parabolic boundary ⋮ Sliding and transversal motions on an inclined boundary in a periodically forced discontinuous system ⋮ ON FLOW BARRIERS AND SWITCHABILITY IN DISCONTINUOUS DYNAMICAL SYSTEMS ⋮ Flow switchability and periodic motions in a periodically forced, discontinuous dynamical system

Cites Work

• Dynamics of oscillators with strongly nonlinear asymmetric damping
• Chaotic motion of a horizontal impact pair
• DETECTION OF GRAZING ORBITS AND INCIDENT BIFURCATIONS OF A FORCED CONTINUOUS, PIECEWISE-LINEAR OSCILLATOR
• Periodic response and stability of oscillators with symmetric trilinear restoring force
• Local and global stability of a piecewise linear oscillator
• Transition to chaotic motion in mechanical systems with impacts
• Singularities in vibro-impact dynamics
• Stabilization Of An Impact Oscillator Near Grazing Incidence Owing To Resonance
• Impact oscillators
• Analytical determination of bifurcations in an impact oscillator

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