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Chaos analysis for a class of impulse Duffing-van der Pol system.

Chaotic dynamics of an impulse Duffing-van der Pol system is studied in this paper. With the Melnikov method, the existence condition of transversal homoclinic point is obtained, and chaos threshold is presented. In addition, numerical simulations including phase portraits and time histories are car...

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Publicado en:Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences Vol. 78; no. 5; pp. 395 - 404
Autores principales: Li, Shuqun, Zhou, Liangqiang
Formato: Artículo
Publicado: De Gruyter May2023
Materias:
Bifurcation diagrams
Computer simulation
Transversal lines
Nonlinear oscillators
Orbits (Astronomy)
Motion
Acceso en línea:Ver este registro en EBSCOhost
Sumario:Chaotic dynamics of an impulse Duffing-van der Pol system is studied in this paper. With the Melnikov method, the existence condition of transversal homoclinic point is obtained, and chaos threshold is presented. In addition, numerical simulations including phase portraits and time histories are carried out to verify the analytical results. Bifurcation diagrams are also given, from which it can be seen that the system may undergo chaotic motions through period doubling bifurcations.