Dynamical System Theory in Biology , Volume I
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Dynamical System Theory in Biology , Volume I Stability Theory and Its Applications (Monographs on Biomedical Engineering) (Monographs on Biomedical Engineering) by Robert Rosen

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Published by John Wiley & Sons Inc .
Written in English


Book details:

The Physical Object
Number of Pages316
ID Numbers
Open LibraryOL7620770M
ISBN 100471735507
ISBN 109780471735502

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Additional Physical Format: Online version: Rosen, Robert, Dynamical system theory in biology. New York, Wiley-Interscience [(OCoLC) The mathematician interested in mathematical biology will find this book useful. It may be used as a supplementary textbook for graduate topics related to applications of dynamical systems on mathematical biology. The book includes an impressive list of references.” (George Karakostas, zbMATH , )Cited by: Research mathematicians working with nonlinear dynamics, particularly those interested in applications to biology, will find this book useful. It may also be used as a textbook or as supplementary reading for a graduate special topics course on the theory and applications of dynamical systems. This volume consists of a selection of research-type articles on dynamical systems, evolution equations, analytic number theory and closely related topics. A strong emphasis is on a fair balance between theoretical and more applied work, thus spanning the .

Dynamic systems is a recent theoretical approach to the study of development. In its contemporary formulation, the theory grows directly from advances in understanding complex and nonlinear systems in physics and mathematics, but it also follows a long and rich tradition of systems thinking in biology and psychology. The term dynamic systems.   Dynamic systems is a recent theoretical approach to the study of development. In its contemporary formulation, the theory grows directly from advances in . (). Landscape and flux theory of non-equilibrium dynamical systems with application to biology. Advances in Physics: Vol. 64, No. 1, pp. Following the concept of the EMS series this volume sets out to familiarize the reader to the fundamental ideas and results of modern ergodic theory and to its applications to dynamical systems and statistical mechanics. The exposition starts from the basic of the subject, introducing ergodicity.

  Wiggins S. Introduction to applied nonlinear dynamical systems and chaos (2ed., Springer, )(ISBN )(O)(s. This second edition has a new chapter on simplifying Dynamical Systems covering Poincare map, Floquet theory, Centre Manifold Theorems, normal forms of dynamical systems, elimination of passive coordinates and Liapunov-Schmidt reduction theory. It would provide a gradual transition to the study of Bifurcation, Chaos and Catastrophe in Chapter Dynamic systems theory, which originally stems from physics, chemistry, and mathematics, was taken over by biology researchers studying the complex dynamics that occur in the natural world, and has found its application in developmental psychology toward the end of the 20th century (Thelen & . It presents a broad picture of the current research surrounding applications of dynamical systems in biology, particularly in population biology. The book contains 19 papers and includes articles on the qualitative and/or numerical analysis of models involving ordinary, partial, functional, and stochastic differential equations.