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Limit Cycles of Higher Order Nonlinear Autonomous Systems

✍ Scribed by R.K. Jonnada; C.N. Weygandt

Publisher
Elsevier Science
Year
1971
Tongue
English
Weight
926 KB
Volume
291
Category
Article
ISSN
0016-0032

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✦ Synopsis

An analytic criterion for the establishment of the existence of the limit cycles in higher order nonlinear autonomous s7Jstems of soft-excitation type is presented. The same andytical criterion can be used to obtain the necessary and su$icient conditions in the parameter space for the asymptotic stability of the equilibrium point of these system-s.

Nonlinear autonomous systems of soft-excitation type are defined and a conjecture to identify these systems is given. Several illustrative examples of second-and third-order nonlinear autonomous systems are presented.

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