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Understanding Nonlinear Dynamics

Series: Textbooks in Mathematical Sciences

By: D Kaplan and L Glass

420 pages, Figs


Paperback | Dec 1995 | #55855 | ISBN: 0387944400
Availability: Usually dispatched within 2-3 weeks Details
NHBS Price: £56.99 $70/€64 approx

About this book

Provides a clear and accessible introduction to the development of many concepts from contemporary dynamics, including stability and multistability, cellular automata and excitable media, fractals, cycles and chaos.

ANot only are many of the most recent topics included and simply explained, but the reader is also warned against difficulties in the practical implementation of the proposed methods of analysis and against common misinterpretations of some theoretical concepts. Because of its completeness and plain, but mathematically correct, style, this book is also an ideal starting point for researchers from various disciplines who are not familiar with mathematical concepts usually learned in the first two years of university study.A AMATHEMATICAL REVIEWS AI recommend this book strongly both to those who need to teach these topics and to those who want to learn about them, whether or not they are in the biosciences. In fact, I would strongly recommend this book to paleontologists, paleobiologists, paleoecologists, and geologists who are (finally) becoming interested in nonlinear dynamics, but are still afraid to ask.AAAMERICAN SCIENTIST A[The authors] have written a readily accessible introduction to nonlinear dynamicsAthe book presents the main concepts and applications of nonlinear dynamics at an elementary levelAInterspersed in the text are delightful short essays of a page or two eachACourses on nonlinear dynamics rarely present these topics at the level used in the bookAIt is written in a Auser friendlyA colloquial style and is a delight to readAno reader is likely to encounter a more accessible elementary introduction to nonlinear dynamics.AAPHYSICS TODAY


Preface.- About the Authors.- Finite-Difference Equations.- Boolean Networks and Cellular Automata.- Self-Similarity and Fractal Geometry.- One-Dimensional Differential Equations.- Two-Dimensional Differential Equations.- Time-Series Analysis.- Appendix A: A Multi-Functional Appendix.- Appendix B: A Note on Computer Notation.- Solutions to Selected Exercises.- Bibliography.- Index.

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