Using transient and steady state considerations to investigate the mechanism of loss of stability of a dynamical system
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Data
2005-05-16
Autores
Belato, D.
Weber, H. I.
Balthazar, José Manoel [UNESP]
Título da Revista
ISSN da Revista
Título de Volume
Editor
Elsevier B.V.
Resumo
This work presents the complete set of features for solutions of a particular non-ideal mechanical system near the fundamental and near to a secondary resonance region. The system comprises a pendulum with a horizontally moving suspension point. Its motion is the result of a non-ideal rotating power source (limited power supply), acting oil the Suspension point through a crank mechanism. Main emphasis is given to the loss of stability, which occurs by a sequence of events, including intermittence and crisis, when the system reaches a chaotic attractor. The system also undergoes a boundary-crisis, which presents a different aspect in the bifurcation diagram due to the non-ideal supposition. (c) 2004 Published by Elsevier B.V.
Descrição
Palavras-chave
non-ideal system, nonlinear dynamics, boundary-crisis, stability
Como citar
Applied Mathematics and Computation. New York: Elsevier B.V., v. 164, n. 2, p. 605-613, 2005.