Stability, Instability and Chaos

An Introduction to the Theory of Nonlinear Differential Equations

AvPaul Glendinning

Häftad, Engelska, 1994

Del 11 i serien Cambridge Texts in Applied Mathematics

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Beskrivning

By providing an introduction to nonlinear differential equations, Dr Glendinning aims to equip the student with the mathematical know-how needed to appreciate stability theory and bifurcations. His approach is readable and covers material both old and new to undergraduate courses. Included are treatments of the Poincaré-Bendixson theorem, the Hopf bifurcation and chaotic systems. The unique treatment that is found in this book will prove to be an essential guide to stability and chaos.

Produktinformation

Utgivningsdatum:1994-11-25
Mått:152 x 229 x 23 mm
Vikt:590 g
Format:Häftad
Språk:Engelska
Serie:Cambridge Texts in Applied Mathematics
Antal sidor:404
Förlag:Cambridge University Press
ISBN:9780521425667

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Recensioner i media

'I have rarely read an introductory matematical book with such pleasure … Those new graduate students who will use any branch of nonlinear systems theory in their studies, and who have not had the advantage of attending Dr Glendinning's final year undergraduate lectures, should sacrifice their bread and beer for the means to rush out and buy this book. More eminent and senior scientists would equally find it worth the sacrifice of a bottle or two of their favorite claret … The book is full of excellent and appropriate examples and virtually empty of errors.' J. Brindley, Bulletin of the Institute of Mathematics

Innehållsförteckning

1. Introduction; 2. Stability; 3. Linear differential systems; 4. Linearization and hyperbolicity; 5. Two-dimensional dynamics; 6. Periodic orbits; 7. Perturbation theory; 8. Bifurcation theory I: stationary points; 9. Bifurcation theory II: periodic orbits and maps; 10. Bifurcational miscellany; 11. Chaos; 12. Global bifurcation theory.