Mathematical Modeling for Control and Chaos (Book 8)

This volume contains the proceedings of the US-Australia workshop on Control and Chaos, which was held in Honolulu, Hawaii from June 29 to July 1, 1995. The workshop was jointly sponsored by the National Science Foundation (USA) and the Department of Industry, Science and Technology (Australia) under the US-Australia agreement.

The workshop's focus was on bringing together experts in dynamical systems theory and control theory, as well as applications workers in both fields, to address the problem of controlling nonlinear and potentially chaotic systems using limited control effort. This involves finding and utilizing orbits in nonlinear systems that can transport a system from one region of state space to other regions where the system can be stabilized.

Control is used to generate useful chaotic trajectories where they do not exist, and to identify and take advantage of useful ones where they do exist. A controller must be able to nudge a system into a proper chaotic orbit and know when to come off that orbit. Additionally, it must be able to identify regions of state space where feedback control will be effective.

The workshop was timely, as Control and Chaos are no longer seen as adversaries, but as collaborators. In keeping with current events, the workshop aimed to foster this collaborative approach, where Control and Chaos work together to address the challenges of controlling nonlinear and potentially chaotic systems.

The proceedings of this workshop provide a valuable resource for researchers and practitioners working in the fields of dynamical systems theory and control theory. The papers presented cover a wide range of topics, including the theory and applications of controlling chaotic systems, the identification of useful chaotic orbits, and the development of effective feedback control strategies.

The workshop's organizers and participants deserve recognition for their efforts in bringing together this diverse group of experts and for their contributions to advancing the understanding and practical applications of controlling nonlinear and chaotic systems. This volume serves as a testament to the fruitful collaboration between the US and Australian research communities, and the ongoing efforts to push the boundaries of what is possible in the field of control and chaos.

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