Phase locking and rotational motion of a parametric pendulum in noisy and chaotic conditions

DOI10.1080/14689360802010428zbMath1162.37027OpenAlexW2046435044MaRDI QIDQ3543528

Grzegorz Litak, Marek Borowiec, Marian Wiercigroch

Publication date: 4 December 2008

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689360802010428

zbMATH Keywords

noisependulumrotational motionchaotic vibration

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems in classical and celestial mechanics (37N05) Parametric resonances for nonlinear problems in mechanics (70K28)

Related Items

Stochastic P-bifurcation and stochastic resonance in a noisy bistable fractional-order system ⋮ Global Dynamics of an Elliptically Excited Pendulum Model

Cites Work

• Approximate analytical solutions for oscillatory and rotational motion of a parametric pendulum
• The stability of the equilibrium of a pendulum for vertical oscillations of the point of suspension
• Effect of bounded noise on chaotic motion of Duffing oscillator under parametric excitation
• ZONES OF CHAOTIC BEHAVIOUR IN THE PARAMETRICALLY EXCITED PENDULUM
• Noise activated transitions among periodic states of a pendulum with a vertically oscillating pivot, mediated by a chaotic attractor
• A magnetoelastic strange attractor
• THE GLOBAL BIFURCATIONS THAT LEAD TO TRANSIENT TUMBLING CHAOS IN A PARAMETRICALLY DRIVEN PENDULUM
• THE OSCILLATION–ROTATION ATTRACTORS IN THE FORCED PENDULUM AND THEIR PECULIAR PROPERTIES
• VIBRATION OF EXTERNALLY-FORCED FROUDE PENDULUM