Nonlinear Dynamics and Chaos -

Nonlinear Dynamics and Chaos

Where do we go from here?
Buch | Hardcover
370 Seiten
2002
Institute of Physics Publishing (Verlag)
978-0-7503-0862-5 (ISBN)
143,40 inkl. MwSt
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
Naturwissenschaften Physik / Astronomie Mechanik
ISBN-10 0-7503-0862-1 / 0750308621
ISBN-13 978-0-7503-0862-5 / 9780750308625
Zustand Neuware
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