Title :
Localizing limit cycles, separatices and homoclinic structures
Author :
Krishchenko, Alexander P. ; Shalneva, Svetlana S.
Author_Institution :
Bauman (N.E.) State Tech. Univ., Moscow, Russia
Abstract :
A general method for estimation of domains with limit cycles and finding surfaces with traces of all cycles is proposed. Corresponding estimations of domains with cycles for linear-quadric systems, Van der Pol equations and equations for auto-oscillations in spin generator are indicated
Keywords :
differential equations; limit cycles; nonlinear dynamical systems; Van der Pol equations; auto-oscillations; domains; homoclinic structures; limit cycles; linear-quadric systems; separatices; spin generator; Limit-cycles; Linear systems; Nonlinear equations; Nonlinear systems;
Conference_Titel :
Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-6434-1
DOI :
10.1109/COC.2000.873507
