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This volume serves as a general introduction to the state of the art of quantitatively characterizing chaotic and turbulent behavior. It is the outgrowth of an international workshop on "Quantitative Measures of Dynamical Complexity and Chaos" held at Bryn Mawr College, June 22-24, 1989. The workshop was co-sponsored by the Naval Air Development Center in Warminster, PA and by the NATO Scientific Affairs Programme through its special program on Chaos and Complexity. Meetings on this subject have occurred regularly since the NATO workshop held in June 1983 at Haverford College only two kilometers distant from the site of this latest in the series. At that first meeting, organized by J. Gollub and H. Swinney, quantitative tests for nonlinear dynamics and chaotic behavior were debated and promoted [1). In the six years since, the methods for dimension, entropy and Lyapunov exponent calculations have been applied in many disciplines and the procedures have been refined. Since then it has been necessary to demonstrate quantitatively that a signal is chaotic rather than it being acceptable to observe that "it looks chaotic". Other related meetings have included the Pecos River Ranch meeting in September 1985 of G. Mayer Kress [2) and the reflective and forward looking gathering near Jerusalem organized by M. Shapiro and I. Procaccia in December 1986 [3). This meeting was proof that interest in measuring chaotic and turbulent signals is widespread.
Del 2 - World Scientific Series On Nonlinear Science Series B
Complexity And Chaos - Proceedings Of The Second Bryn Mawr Workshop On Measures Of Complexity And Chaos
Inbunden, Engelska, 1994
1 660 kr
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The papers in this volume summarize the state-of-the-art in the use of concepts of dynamical systems to study chaotic evolution and spatiotemporal complexity. The central results of dynamical systems theory have demonstrated that simple deterministic mathematical systems can produce highly disordered dynamical behaviour, suggesting that it might be possible to explain complex natural phenomena with relatively simple methods. This proved to be far more difficult than had been initially anticipated. It is increasingly clear that the naive application of dynamical methods can readily produce spurious indications of deterministic behaviour. Many dynamicists are currently preoccupied with the development of methods that can bring increased rigor and reliability to the analysis of experimental data. At the same time, techniques have been developed for controlling the behaviour of complex systems, for predicting their evolution, and for describing their behaviour even when this behaviour displays complexity in space as well as in time.The papers in this collection discuss techniques used to confirm the existence of chaotic behaviour by means of surrogate data, topological information and quantitative measures of determinism, techniques for controlling and predicting chaotic behaviour, and illustrations of the use of these techniques in laser physics, acoustics, hydrodynamics, oceanography climatology, biology, medicine and economics.