A Theory of Index for Point Mapping Dynamical Systems

[+] Author and Article Information
C. S. Hsu

Department of Mechanical Engineering, University of California, Berkeley, Calif. 94720

J. Appl. Mech 47(1), 185-190 (Mar 01, 1980) (6 pages) doi:10.1115/1.3153601 History: Received August 01, 1979; Revised October 01, 1979; Online July 21, 2009


Dynamical systems governed by discrete time-difference equations are referred to as point mapping dynamical systems in this paper. Based upon the Poincaré 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.

Copyright © 1980 by ASME
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