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| Author | : A. Doelman |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 82 |
| Release | : 2002 |
| Genre | : Mathematics |
| ISBN | : 0821827391 |
This work is intended for graduate students and research mathematicians interested in partial differential equations.
| Author | : Juncheng Wei |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 324 |
| Release | : 2013-09-18 |
| Genre | : Mathematics |
| ISBN | : 1447155262 |
This monograph is concerned with the mathematical analysis of patterns which are encountered in biological systems. It summarises, expands and relates results obtained in the field during the last fifteen years. It also links the results to biological applications and highlights their relevance to phenomena in nature. Of particular concern are large-amplitude patterns far from equilibrium in biologically relevant models. The approach adopted in the monograph is based on the following paradigms: • Examine the existence of spiky steady states in reaction-diffusion systems and select as observable patterns only the stable ones • Begin by exploring spatially homogeneous two-component activator-inhibitor systems in one or two space dimensions • Extend the studies by considering extra effects or related systems, each motivated by their specific roles in developmental biology, such as spatial inhomogeneities, large reaction rates, altered boundary conditions, saturation terms, convection, many-component systems. Mathematical Aspects of Pattern Formation in Biological Systems will be of interest to graduate students and researchers who are active in reaction-diffusion systems, pattern formation and mathematical biology.
| Author | : Bernold Fiedler |
| Publisher | : World Scientific |
| Total Pages | : 846 |
| Release | : 2000 |
| Genre | : Differential equations |
| ISBN | : 9789810249885 |
This book is a compilation of high quality papers focussing on five major areas of active development in the wide field of differential equations: dynamical systems, infinite dimensions, global attractors and stability, computational aspects, and applications. It is a valuable reference for researchers in diverse disciplines, ranging from mathematics through physics, engineering, chemistry, nonlinear science to the life sciences
| Author | : Bernold Fiedler |
| Publisher | : World Scientific |
| Total Pages | : 838 |
| Release | : 2000-09-05 |
| Genre | : Mathematics |
| ISBN | : 9814522163 |
This book is a compilation of high quality papers focussing on five major areas of active development in the wide field of differential equations: dynamical systems, infinite dimensions, global attractors and stability, computational aspects, and applications. It is a valuable reference for researchers in diverse disciplines, ranging from mathematics through physics, engineering, chemistry, nonlinear science to the life sciences.
| Author | : Christian Kuehn |
| Publisher | : Springer |
| Total Pages | : 816 |
| Release | : 2015-02-25 |
| Genre | : Mathematics |
| ISBN | : 3319123165 |
This book provides an introduction to dynamical systems with multiple time scales. The approach it takes is to provide an overview of key areas, particularly topics that are less available in the introductory form. The broad range of topics included makes it accessible for students and researchers new to the field to gain a quick and thorough overview. The first of its kind, this book merges a wide variety of different mathematical techniques into a more unified framework. The book is highly illustrated with many examples and exercises and an extensive bibliography. The target audience of this book are senior undergraduates, graduate students as well as researchers interested in using the multiple time scale dynamics theory in nonlinear science, either from a theoretical or a mathematical modeling perspective.
| Author | : 野水克己 |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 148 |
| Release | : 2001 |
| Genre | : Mathematical analysis |
| ISBN | : 9780821827802 |
This volume contains papers that originally appeared in Japanese in the journal Sugaku. Ordinarily the papers would appear in the AMS translation of that journal, but to expedite publication, the Society has chosen to publish them as a volume of selected papers. The papers here are in the general area of mathematical analysis as it pertains to free probability theory.
| Author | : Alwyn Scott |
| Publisher | : Routledge |
| Total Pages | : 2881 |
| Release | : 2006-05-17 |
| Genre | : Reference |
| ISBN | : 1135455570 |
In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, and condensed matter physics, among others.
| Author | : Alan Forrest |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 137 |
| Release | : 2002 |
| Genre | : Mathematics |
| ISBN | : 0821829653 |
This memoir develops, discusses and compares a range of commutative and non-commutative invariants defined for projection method tilings and point patterns. The projection method refers to patterns, particularly the quasiperiodic patterns, constructed by the projection of a strip of a high dimensional integer lattice to a smaller dimensional Euclidean space. In the first half of the memoir the acceptance domain is very general - any compact set which is the closure of its interior - while in the second half the authors concentrate on the so-called canonical patterns. The topological invariants used are various forms of $K$-theory and cohomology applied to a variety of both $C DEGREES*$-algebras and dynamical systems derived from such a p
| Author | : Arnd Scheel |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 102 |
| Release | : 2003 |
| Genre | : Mathematics |
| ISBN | : 0821833731 |
Includes a paper that studies bifurcations of stationary and time-periodic solutions to reaction-diffusion systems. This title develops a center-manifold and normal form theory for radial dynamics which allows for a complete description of radially symmetric patterns.
