Nonlinear Dynamics and Chaos

Where do we go from here?

J Hogan, A.R Krauskopf, Mario di Bernado, R. Eddie Wilson, Hinke. M Osinga (Herausgeber)

Buch | Hardcover

370 Seiten

2002
Institute of Physics Publishing (Verlag)
978-0-7503-0862-5 (ISBN)

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Nonlinear dynamics has been successful in explaining complicated phenomena in well-defined low-dimensional systems. This work assesses what the future holds for dynamics and chaos. It addresses one or more of the interconnected main themes: neural and biological systems, spatially extended systems, and experimentation in the physical sciences.

Nonlinear dynamics has been successful in explaining complicated phenomena in well-defined low-dimensional systems. Now it is time to focus on real-life problems that are high-dimensional or ill-defined, for example, due to delay, spatial extent, stochasticity, or the limited nature of available data. How can one understand the dynamics of such systems? Written by international experts, Nonlinear Dynamics and Chaos: Where Do We Go from Here? assesses what the future holds for dynamics and chaos. The chapters address one or more of the broad and interconnected main themes: neural and biological systems, spatially extended systems, and experimentation in the physical sciences. The contributors offer suggestions as to what they see as the way forward, often in the form of open questions for future research.

J Hogan, A.R Krauskopf, Mario di Bernado, Eddie R. Wilson, Hinke M. Osinga, Martin E. Homer, Alan R. Champneys

Preface. Bifurcation and Degenerate Decomposition in Multiple Time Scale Dynamical Systems. Many-body quantum mechanics. Unfolding Complexity: Hereditory Dynamical Systems-New Bifurcation Schemes and High Dimensional Chaos. Creating stability out of instability.
Signal or Noise? A nonlinear dynamics approach to spatiotemporal communication. Outstanding problems in the theory of pattern formation. Is Chaos relevant to Fluid Mechanics?. Time-Reversed Acoustics and Chaos.
Reduction methods applied to nonlocally coupled oscillator systems. A prime number of prime questions about vortex dynamcis in nonlinear media. Spontaneous pattern formation in primary visual cortex. Models for Pattern Formation in Development. Spatiotemporal nonlinear dynamics: a new beginning. Author index.

Erscheint lt. Verlag	1.8.2002
Verlagsort	London
Sprache	englisch
Maße	156 x 234 mm
Gewicht	771 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Mechanik
ISBN-10	0-7503-0862-1 / 0750308621
ISBN-13	978-0-7503-0862-5 / 9780750308625
Zustand	Neuware