Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10414277 | Communications in Nonlinear Science and Numerical Simulation | 2014 | 8 Pages |
Abstract
The behaviors of system which alternate between Duffing oscillator and van der Pol oscillator are investigated to explore the influence of the switches on dynamical evolutions of system. Switches related to the state and time are introduced, upon which a typical switched model is established. Poincaré map of the whole switched system is defined by suitable local sections and local maps, and the formal expression of its Jacobian matrix is obtained. The location of the fixed point and associated Floquet multipliers are calculated, based on which two-parameter bifurcation sets of the switched system are obtained, dividing the parameter space into several regions corresponding to different types of attractors. It is found that cascading of period-doubling bifurcations may lead the system to chaos, while fold bifurcations determine the transition between period-3 solution and chaotic movement.
Related Topics
Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
Chun Zhang, Qinsheng Bi, Xiujing Han, Zhengdi Zhang,