Stability, Instability and Chaos

Klappentext This book examines qualitative methods for nonlinear differential equations! bifurcation theory and chaos in terms suitable for advanced undergraduate and first-year postgraduate students in mathematics and physics. Starting from the idea of phase space! the structure of solutions near hyperbolic stationary points and periodic orbits in investigated. Then! after a brief discussion of perturbation methods and nonlinear oscillators! the theory of nonhyperbolic stationary points! bifurcations and chaos is described. Zusammenfassung 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. Inhaltsverzeichnis 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.

Product details

• Authors: Paul Glendinning, Paul (University of Cambridge) Glendinning
• Publisher: Cambridge University Press Academic
• Languages: English
• Product format: Paperback / Softback
• Released: 25.11.1994
• EAN: 9780521425667
• ISBN: 978-0-521-42566-7
• Dimensions: 152 mm x 228 mm x 22 mm
• Series: Cambridge Texts in Applied Mathematics; Cambridge Texts in Applied Mat
• Subjects: Education and learning > Teaching preparation > Vocational needs; Natural sciences, medicine, IT, technology > Mathematics > Analysis