1st Edition
Nonlinear Dynamics and Pattern Formation in the Natural Environment
344 Pages
by
Chapman & Hall
344 Pages
by
Routledge
Also available as eBook on:
This Research Note aims to provide an insight into recent developments in the theory of pattern formation. In the last decade there has been considerable progress in this field, both from a theoretical and a practical point of view. Recent mathematical developments concern the study of the nonlinear stability of systems at near-critical conditions by an appropriate system of modulation equations.... Read more
Nonlinear evolution of cellular flame instabilities
On the justification of the Ginzburg-Landau approximation
Bifurcations far from criticality in fluid systems
Self-organization and chaotic advection in quasi-2D confined
flows
Surface tension driven cellular flows in small aspect ratio horizontally square boxes
Pattern formation in systems on spatially periodic domains
Solitary wave interactions with external forces
Breaking the dimension of a steady wave: some examples
Remarks on the use and misuse of the GinzburgñLandau equation
The mean flows driven by sandbar instabilities
Dynamical systems, temporal vs. spatio-temporal chaos, and climate
Interaction of modes with disparate scales in Rayleigh-Benard convection
A new approach to sideband-instabilities using the principle of reduced instability
Pattern formation in activator-inhibitor systems
Instabilities in two-layer channel flows
A personal sample of patterns in biology
Invitation to river morphodynamics
Periodic orbits in singularly-perturbed systems
Dynamics of large-scale bed forms in coastal seas
On the justification of the Ginzburg-Landau approximation
Bifurcations far from criticality in fluid systems
Self-organization and chaotic advection in quasi-2D confined
flows
Surface tension driven cellular flows in small aspect ratio horizontally square boxes
Pattern formation in systems on spatially periodic domains
Solitary wave interactions with external forces
Breaking the dimension of a steady wave: some examples
Remarks on the use and misuse of the GinzburgñLandau equation
The mean flows driven by sandbar instabilities
Dynamical systems, temporal vs. spatio-temporal chaos, and climate
Interaction of modes with disparate scales in Rayleigh-Benard convection
A new approach to sideband-instabilities using the principle of reduced instability
Pattern formation in activator-inhibitor systems
Instabilities in two-layer channel flows
A personal sample of patterns in biology
Invitation to river morphodynamics
Periodic orbits in singularly-perturbed systems
Dynamics of large-scale bed forms in coastal seas
Biography
A. Van Harten, A. Doelman
"An impressive selection of articles by leading experts in the field....researchers and more advanced students in mathematical analysis will find it a very valuable addition to the existing literature and a rich source of challenges for the further development of mathematical theory"
Nonlinear Science Today, September 1996
