J Austral Math Soc Ser B 38 pp41--62, 1996.

Oscillations of Interconnected Systems with C 0 Nonlinearities

Xiangjian He

(Received 5 May 1994; revised 20 October 1994)

Abstract

In this paper we establish conditions which ensure the existence of self-excited oscillations in complex dynamical systems with nondifferentiable nonlinearities, by considering those types of systems which can be viewed as an interconnection of several simpler subsystems. We find that the nonlinear terms of the system in which we are interested do not need to satisfy the Lipschitz condition.

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Author

Xiangjian He
Dept of Maths, Stats and Comp. Sci., University of N. E., Armidale, NSW 2351, Australia.

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