Chaotic motions and fractal basin boundaries in spring-pendulum system

DOI10.1016/j.nonrwa.2005.01.003zbMath1168.70319OpenAlexW2041483840MaRDI QIDQ2490078

Aria Alasty, Rasool Shabani

Publication date: 28 April 2006

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2005.01.003

zbMATH Keywords

ChaosFractal basinJumping phenomenonSpring-pendulum system

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Cites Work

• Resonantly forced motion of two quadratically coupled oscillators
• On the global geometric structure of the dynamics of the elastic pendulum
• Chaotic dynamics of a harmonically excited spring-pendulum system with internal resonance
• Effect of nonlinear stiffness on the motion of a flexible pendulum
• Parametrically excited nonlinear systems: A comparison of two methods
• Parametric excitation of two internally resonant oscillators
• Criteria for chaos of a three-well potential oscillator with homoclinic and heteroclinic orbits
• Behavior of a Rubber Spring Pendulum
• A Global Analysis of an Harmonically Excited Spring-Pendulum System With Internal Resonance
• THE GLOBAL BIFURCATIONS THAT LEAD TO TRANSIENT TUMBLING CHAOS IN A PARAMETRICALLY DRIVEN PENDULUM
• On the Fractal Structure of Basin Boundaries in Two-Dimensional Noninvertible Maps
• OSCILLATORY ORBITS OF THE PARAMETRICALLY EXCITED PENDULUM
• MULTISTABILITY, BASIN BOUNDARY STRUCTURE, AND CHAOTIC BEHAVIOR IN A SUSPENSION BRIDGE MODEL

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