Affiliation:
1. Department of Mechanical Engineering, University of California, Berkeley, Calif. 94720
Abstract
Dynamical systems governed by discrete time-difference equations are referred to as point mapping dynamical systems in this paper. Based upon the Poincare´ theory of index for vector fields, a theory of index is established for point mapping dynamical systems. Besides its intrinsic theoretic value, the theory can be used to help search and locate periodic solutions of strongly nonlinear systems.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
9 articles.
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