MULTISTABILITY, BASIN BOUNDARY STRUCTURE, AND CHAOTIC BEHAVIOR IN A SUSPENSION BRIDGE MODEL

DOI10.1142/S0218127404009636zbMath1129.74318MaRDI QIDQ4655609

Celso Grebogi, Ricardo L. Viana, Mário S. T. de Freitas

Publication date: 8 March 2005

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

zbMATH Keywords

chaossuspension bridgebasin boundariesMultistability

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Dynamical systems in solid mechanics (37N15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Random vibrations in dynamical problems in solid mechanics (74H50)

Related Items (12)

Unnamed Item ⋮ Attractors of a Weakly Dissipative System Allowing Transition to the Stochastic Web in the Conservative Limit ⋮ Erosion of the safe basin for the transversal oscillations of a suspension bridge ⋮ Example of a suspension bridge ODE model exhibiting chaotic dynamics: a topological approach ⋮ Multiple nested basin boundaries in nonlinear driven oscillators ⋮ FRACTAL FORMATION IN THE CIRCULAR CHAOS GAME: A TOPOLOGICAL INVESTIGATION ⋮ Chaotic motions and fractal basin boundaries in spring-pendulum system ⋮ Coexistence of Subharmonic Resonant Modes Obeying a Period-Adding Rule ⋮ Analysis on two types of internal resonance of a suspended bridge structure with inclined main cables based on its sectional model ⋮ Shifted impact oscillator: tuned multiple resonances and step load ⋮ Multistability and self-similarity in the parameter-space of a vibro-impact system ⋮ Detection of Hidden Oscillations in Systems Without Equilibrium

Uses Software

• ODEPACK

Cites Work

• Unnamed Item
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