Pseudodissipative systems. III. Global behavior
Author:
J. A. Walker
Journal:
Quart. Appl. Math. 48 (1990), 665-678
MSC:
Primary 70K20; Secondary 70K15
DOI:
https://doi.org/10.1090/qam/1079912
MathSciNet review:
MR1079912
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Abstract: A result is presented which suggests the form of global Liapunov functions for many nonlinear mechanical systems in the “pseudodissipative” class. Consequently, this result often provides a means of “global analysis” of the overall behavior of such a system. In each of three examples, the general behavior of a mechanical system is ascertained by means of the result presented.
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J. A. Walker, Dynamical systems and Evolution Equations, Plenum Press, New York and London, 1980
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J. A. Walker, Pseudodissipative systems II: stability of reduced equilibria, ASME Journal of Applied Mechanics 56 466–473 (1989)
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Article copyright:
© Copyright 1990
American Mathematical Society
