Hogan / Krauskopf / di Bernado Nonlinear Dynamics and Chaos

Where do we go from here?
Erscheinungsjahr 2010
ISBN: 978-1-4200-3383-0
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 376 Seiten

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.

Zielgruppe

Researchers and postgraduate students studying nonlinear dynamics and chaos in mathematics, physics, biology, and engineering.

Autoren/Hrsg.

Hogan, J

Krauskopf, A.R

di Bernado, Mario

Wilson, R. Eddie

Osinga, Hinke. M

Homer, Martin. E

Champneys, Alan. R

Fachgebiete

• Naturwissenschaften Physik Mechanik
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik

Inhaltsverzeichnis

Preface

Bifurcation and Degenerate Decomposition in Multiple Time Scale Dynamical Systems
John Guckenheimer

Many-Body Quantum Mechanics
Robert MacKay

Unfolding Complexity: Hereditory Dynamical Systems-New Bifurcation Schemes and High Dimensional Chaos
Uwe an der Heiden

Creating Stability out of Instability
Chris Jones

Signal or Noise? A Nonlinear Dynamics Approach to Spatiotemporal Communication
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 Nonlocally 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 Bressloff and Jack Cowan

Models for Pattern Formation in Development
Bard Ermentrout

Spatiotemporal Nonlinear Dynamics: A New Beginning
William Ditto

Author Index