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- W2222148635 abstract "Impulsively coupled systems are high-dimensional non-smooth systems that can exhibit rich and complex dynamics.This paper studies the complex dynamics of a non-smooth system which is unidirectionally impulsively coupled by three Duffing oscillators in a ring structure.By constructing a proper Poincare map of the non-smooth system,an analytical expression of the Jacobian matrix of Poincare map is given.Two-parameter Hopf bifurcation sets are obtained by combining the shooting method and the Runge-Kutta method.When the period is fixed and the coupling strength changes,the system undergoes stable,periodic,quasi-periodic,and hyper-chaotic solutions,etc.Floquet theory is used to study the stability of the periodic solutions of the system and their bifurcations." @default.
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- W2222148635 date "2014-01-01" @default.
- W2222148635 modified "2023-09-24" @default.
- W2222148635 title "Complex dynamics analysis of impulsively coupled Duffing oscillators with ring structure" @default.
- W2222148635 hasPublicationYear "2014" @default.
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