DocumentCode
2613899
Title
Condition of generation of oscillations in dynamic system with nonlinear periodical functions
Author
Paushkina, Tatijana ; Gorshenkov, Uriy ; Fedosova, Tamara
Author_Institution
Moscow Energetic Inst., Russia
fYear
1993
fDate
3-6 May 1993
Firstpage
2486
Abstract
The authors present the results of research by qualitative methods of the theory of differential equations and modeling of one class of toroidal systems. Systems with two periodical nonlinear functions that are systems with a toroidal phase surface are studied. The phase portrait is shown on the torus surface, because the mathematical model has two periodical functions. It is specified that in nonlinear dynamic systems with a toroidal phase surface the exact fronts of the region of oscillation existence are defined by two bifurcations
Keywords
bifurcation; nonlinear dynamical systems; oscillators; bifurcations; differential equations; dynamic system; nonlinear periodical functions; periodical nonlinear functions; qualitative methods; region of oscillation existence; toroidal phase surface; toroidal systems; torus surface; Artificial intelligence; Bifurcation; Bismuth; Circuits; Differential equations; Iron; Limit-cycles; Nonlinear dynamical systems; Nonlinear equations; Stability;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 1993., ISCAS '93, 1993 IEEE International Symposium on
Conference_Location
Chicago, IL
Print_ISBN
0-7803-1281-3
Type
conf
DOI
10.1109/ISCAS.1993.394269
Filename
394269
Link To Document