- Dowell, E., Chaotic oscillations in mechanical systems,
Comput. Struct. (UK), vol. 30 no. 1-2
pp. 171 - 84 [0045-7949(88)90225-8] .
(last updated on 2007/04/10)
Chaotic oscillations have now been observed in nonlinear mechanical systems using analytical, numerical, and experimental methods. Nevertheless, a more fundamental understanding of why and when such oscillations occur is of great importance. This goal is pursued by considering the relationship between chaos induced by forced oscillations versus self-excited oscillations, the relationship of indeterminacy of the final equilibrium state in the initial value problem to chaos in the sustained oscillation problem, comparison of theory to physical experiment, necessary and sufficient conditions for chaos to occur, and the question of convergence of systems of modal ordinary differential equations that derive from partial differential equations
chaos;initial value problems;oscillations;partial differential equations;