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
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;
Conference_Titel :
Circuits and Systems, 1993., ISCAS '93, 1993 IEEE International Symposium on
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-1281-3
DOI :
10.1109/ISCAS.1993.394269
