Complexity and chaos : proceedings of the Second Bryn Mawr Workshop on Measures of Complexity and Chaos : Bryn Mawr, Pennsylvania, USA, August 13-15, 1992
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書誌事項
Complexity and chaos : proceedings of the Second Bryn Mawr Workshop on Measures of Complexity and Chaos : Bryn Mawr, Pennsylvania, USA, August 13-15, 1992
（World Scientific series on nonlinear science / editor, Leon O. Chua, ser. B,
World Scientific, c1993
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注記
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
- Using coarse-grained measures to characterize electromyographic signals, P.E. Rapp et al
- local or dynamical dimensions of nonlinear systems inferred from observations, H.D.I. Abarbanel amd M.M. Schuschik
- bispectral and trispectral characterization of transition to chaos in the Duffing oscillator, V. Chandran et al
- metric universality of order in one-dimensional dynamics, M. Frame and D. Peak
- new approach to testing for chaos, with applications in finance and economics, C.G. Gilmore
- evaluating deterministic structure in maps deduced from discrete-time measurements, D.T. Kaplan
- experimental approach to a complex acoustic system, W. Lauterborn et al
- parsimonious dynamical reconstruction, A. Mees
- chaos versus noise in experimental data, F. Mitschke and M. Damming
- common dynamical features of periodically driven strictly dissipative oscillators, U. Parlitz
- statistical mechanics of biological and other complex experimental time series - assessing geometrical and dynamical properties, M.P. Paulus et al
- intermittency, phase randomization and generalized fractal dimensions, A. Provenzale et al
- how many delay coordinated do you need?, T. Sauer and J.A. Yorke
- is chaos generic in economic data?, T. Jaditz and C.L. Sayers
- crossover between the control of permanent and transient chaos, T. Tel
- the marginal stability of autonomous differential equations, N.N. Greenbaum
- controlling chaos in a simple autonomous system - Chua's circuit, G.A. Johnson and E.R. Hunt
- and others.
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