"Advances in chaotic dynamics and chaos synchronization" by Hongtao Zhang

"Advances in chaotic dynamics and chaos synchronization" by Hongtao Zhang

Chaotic system, characterized by sensitivity to initial conditions, handles abundant dynamics, sometimes leading to unimagined results in reality. In the past two decades, dynamical analysis and control of chaos attracted a lot of interests of scientists. Specifically, since chaos synchronization was found in 1991, generating and synchronizing chaotic systems has become a hot issue and been intensively studied. In this presentation, I would like to introduce some advances in generating new chaotic attractors and synchronizing chaos. Initially, starting from designing new chaotic systems, I demonstrate three types of systematic approaches to generate multi-scroll attractors and...

Date

February 23, 2011 - 11:15am

Location

Howey W505

Chaotic system, characterized by sensitivity to initial conditions, handles abundant dynamics, sometimes leading to unimagined results in reality. In the past two decades, dynamical analysis and control of chaos attracted a lot of interests of scientists. Specifically, since chaos synchronization was found in 1991, generating and synchronizing chaotic systems has become a hot issue and been intensively studied. In this presentation, I would like to introduce some advances in generating new chaotic attractors and synchronizing chaos. Initially, starting from designing new chaotic systems, I demonstrate three types of systematic approaches to generate multi-scroll attractors and hyper-chaotic attractors, which possess more than one positive Lyapunov exponent. Next, to deal with two serious challenges in chaos synchronization process, communication delay and channel interference, a synchronization scheme based on impulsive control is presented to achieve robust chaos synchronization. As an extended result, chaotic network synchronization is also demonstrated together with adaptive control. In the end, a novel synchronization scheme, intermittent impulsive synchronization scheme (IISS), is designed to break through the limit of general impulsive synchronization scheme when the control window is restricted.

 

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