The dynamics of physical, chemical, biological or fluid systems generally must be described by nonlinear models, whose detailed mathematical solutions are not obtainable. To understand some aspects of such dynamics, various complementary methods and viewpoints are of crucial importance. In this book and its companion volume, Perspectives of nonlinear dynamics, volume 1, the perspectives generated by analytical, topological and computational methods, and interplays between them, are developed in a variety of contexts. The presentation and style is intended to stimulate the reader's imagination to apply these methods to a host of problems and situations. The text is complemented by copious references, extensive historical and bibliographical notes, exercises and examples, and appendices giving more details of some mathematical ideas. Each chapter includes an extensive section commentary on the exercises and their solution. Graduate students and research workers in physics, applied mathematics, chemistry, biology and engineering will welcome these volumes as the first broad introduction to this important major field of research.
By:
E. Atlee Jackson Imprint: Cambridge University Press Country of Publication: United Kingdom Dimensions:
Height: 245mm,
Width: 190mm,
Spine: 36mm
Weight: 1.241kg ISBN:9780521426336 ISBN 10: 0521426332 Pages: 652 Publication Date:06 April 1992 Audience:
College/higher education
,
Primary
Format:Paperback Publisher's Status: Active
Preface; Acknowledgements; 6. Models based on second order difference equations; 7. Models based on third order differential systems; 8. 'Moderate-order' systems; 9. Solitaires: solitons and nonsolitons; 10. Coupled maps (CM) and cellular automata (CA); Epilogue; Appendices; Bibliography; References; Cumulative Index (Volumes 1 and 2).