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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Event Details
Date/Time:
-
Date:Wednesday, February 23, 2011 - 11:15am
Location:
Howey W505