PARAMETRICALLY EXCITED PENDULUM SYSTEMS WITH SEVERAL EQUILIBRIUM POSITIONS: BIFURCATION ANALYSIS AND RARE ATTRACTORS

DOI10.1142/S0218127411030167zbMath1270.34072MaRDI QIDQ2843686

Mikhail V. Zakrzhevsky, A. V. Klokov

Publication date: 23 August 2013

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

zbMATH Keywords

chaosdomains of attractionpendulum systemcomplete bifurcation analysismethod of complete bifurcation groupsrare attractorsvibrating point of suspension

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Forced motions for nonlinear problems in mechanics (70K40) Bifurcations and instability for nonlinear problems in mechanics (70K50) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45)

Related Items (3)

A Simple Chaotic Flow with a Plane of Equilibria ⋮ New topological tool for multistable dynamical systems ⋮ Perpetual points and hidden attractors in dynamical systems

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Local methods in predicting occurrence of chaos in two-well potential systems: Superharmonic frequency region
• Unnamed Item

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