Nonlinear dynamics and chaos : where do we go from here? / edited by John Hogan ... [and others].

Format:

Book

Contributor:

Hogan, S. J. (S. John)

Language:

English

Subjects (All):

Dynamics--Congresses.

Dynamics.

Nonlinear theories--Congresses.

Nonlinear theories.

Chaotic behavior in systems--Congresses.

Chaotic behavior in systems.

Genre:

Conference papers and proceedings.

Physical Description:

xi, 358 pages : illustrations ; 24 cm

Place of Publication:

Bristol ; Philadelphia : Institute of Physics, [2003]

Summary:

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?

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 / John Guckenheimer

Many-body quantum mechanics / Robert S MacKay

Unfolding complexity: hereditary dynamical systems-new bifurcation schemes and high dimensional chaos / Uwe an der Heiden

Creating stability out of instability / Christopher K R T Jones

Signal or noise? A nonlinear dynamics approach to spatio-temporal communication / Gregory D Van Wiggeren, Jordi Garcia-Ojalvo, Rajarshi Roy

Outstanding problems in the theory of pattern formation / Edgar Knobloch

Is chaos relevant to fluid mechanics? / Tom Mullin

Time-reversed acoustics and chaos / Mathias Fink

Reduction methods applied to non-locally coupled oscillator systems / Yoshiki Kuramoto

A prime number of prime questions about vortex dynamics in nonlinear media / Art Winfree

Spontaneous pattern formation in primary visual cortex / Paul C Bressloff, Jack D Cowan

Models for pattern formation in development / Bard Ermentrout, Remus Osan

Spatio-temporal nonlinear dynamics: a new beginning / William L Ditto.

Notes:

Papers presented at a conference held in Bristol, June 2001.

Includes bibliographical references and index.

ISBN:

0750308621

OCLC:

50850760