Index Evaluation for Dynamical Systems and Its Application to Locating All the Zeros of a Vector Function

[+] Author and Article Information
C. S. Hsu, R. S. Guttalu

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

J. Appl. Mech 50(4a), 858-862 (Dec 01, 1983) (5 pages) doi:10.1115/1.3167157 History: Received January 01, 1983; Revised May 01, 1983; Online July 21, 2009


An index evaluation method is discussed in this paper. It can also serve as the basis of a procedure to locate all the zeros of a vector function. An application of the procedure is made to a strongly nonlinear point-mapping dynamical system in order to locate all the periodic solutions of period one and period two, 41 in total number.

Copyright © 1983 by ASME
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