Nonlinear Dynamics and Chaos

Where Do We Go from Here

Collectif d'auteurs

358 pages, parution le 28/08/2002

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Résumé

Nonlinear Dynamics has been successful in explaining complicated phenomena in well-defined low-dimensional systems. Now it is time to focus 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?
In a series of thirteen chapters by world experts this book tries to assess what the future holds for Nonlinear Dynamics and Chaos. The central question is 'Where do we go from here?' The chapters address one or more of the broad and interconnected main themes: (i) neural and biological systems, (ii) spatially extended systems, and (iii) experimentation in the physical sciences. The authors offer suggestions as to what they see as the way forward, often in the form of open questions for future research.

Contents

Bifurcation and degenerate decomposition in multiple time scale dynamical systems
Many-body quantum mechanics
Unfolding complexity: hereditary dynamical systems - new bifurcation schemes and high dimensional chaos
Creating stability out of instability
Signal or noise? A nonlinear dynamic approach to spatio-temporal communication
Outstanding problems in the theory of pattern formation
Is chaos relevant to fluid mechanics?
Time-reversed acoustics and chaos
Reduction methods applied to non-locally coupled oscillator systems
A prime number of prime questions about vortex dynamics in nonlinear media
Spontaneous pattern formation in primary visual cortex
Models for pattern formation in development
Spatio-temporal nonlinear dynamics: a new beginning

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Institute of Physics (IOP)
Auteur(s)	Collectif d'auteurs
Parution	28/08/2002
Nb. de pages	358
Format	16 x 24
Couverture	Relié
Poids	777g
Intérieur	Noir et Blanc
EAN13	9780750308625
ISBN13	978-0-7503-0862-5