A switching scheme for synthesizing attractors of dissipative chaotic systems

In this paper, a periodic parameter-switching scheme is proposed for synthesizing a large class of hyperbolic attractors of continuous-time and autonomous dissipative chaotic systems depending linearly on a single real bifurcation parameter. It is illustrated by numerical simulations that a wide range of hyperbolic attractors can be obtained by this new scheme. The scheme can also be considered as an effective way for control and anticontrol of chaos.