Overview

The articles in this volume are an outgrowth of a US-Australia Workshop, held in Hawaii in 1995. Contributors from the fields of dynamical systems theory and control theory from the US and Australia, as well as England and Japan, focussed upon the problem of controlling nonlinear and potentially chaotic systems using limited control efforts. The essays take into account the discussions and commentaries of the participants and are reflected at the end of each article. Part I of the volume deals with modelling, behaviour, reconstructions, prediction and numerics. Part II explores controlling complex systems by means of embedding unstable periodic orbits, targeting filtering, optimization and adaptive methods. The final part of the text contains four applications papers covering such topics as: the control of a bouncing ball; evolutionary stability; chaos in ecosystems; and neural networks.

Full Product Details

Author:   Kevin Judd ,  etc. ,  Alistair Mees (The University of Western Australia, Perth, Australia) ,  Lay Teo Kok (The University of Western Australia, Perth, Australia)
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Volume:   v. 8
ISBN:  

9783764338671

ISBN 10:   3764338679
Pages:   350
Publication Date:   July 1997
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Replaced By:   9780817638672
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Part 1 Understanding complex dynamics: Triangulating noisy dynamical systems, Stuart Allie et al; Attractor reconstruction and control using interspike intervals, Tim Sauer; Modelling chaos from experimental data, Kevin Judd, Alistair Mees; Chaos in sympletic discretizations of the pendulum and Sine-Gordon equations, B.M. Herbst, C.M. Schober; Collapsing effects in computation of dynamical systems, Phil Diamond et al; Bifurcations in the Falkner-Skan equation, Colin Sparrow; Some characterisation of low-dimensional dynamical systems with time-reversal symmetry, John A.G. Roberts. Part 2 Controlling complex systems: Control of chaos by means of embedded unstable periodic orbits, Edward Ott, Brian R. Hunt; Notch filter feedback control for k-period motion in a chaotic system, walter J. Grantham, Amit M. Athalye; Targeting and control of chaos, Eric J. Kostelich, Ernest Barreto; Adaptive nonlinear control - a Lyapunov approach, Petar V. Kokotovic, Miroslav Krstic; Creating and targeting periodic orbits, Kathryn Glass et al; Dynamical systems, optimization, and chaos, John B. Moore; Combined controls for noisy chaotic systems, Mirko Paskota et al; Complex dynamics in adaptive systems, Iven M.Y. Marcels; Hitting times to a target for the Baker's map, Arthur Mazer. Part 3 Applications: Controllable targets near a chaotic attractor, Thomas L. Vincent; The dynamics of evolutionary stable strategies, Yosef Cohen, Thomas L. Vincent; Nitrogen cycling and the control of chaos in a Boreal forest model, John Pastor, Yosef Cohen; Self-organization dynamics in chaotic neural networks, Masataka Watanabe et al.

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