Complex Dynamics and Morphogenesis An Introduction to Nonlinear Science /

• Main Author: Misbah, Chaouqi (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands : Imprint: Springer, 2017.
• Subjects: Physics.; System theory.; Applications of Nonlinear Dynamics and Chaos Theory.; Mathematical Methods in Physics.; Complex Systems.; Biological and Medical Physics, Biophysics.

This book offers an introduction to the physics of nonlinear phenomena through two complementary approaches: bifurcation theory and catastrophe theory. Readers will be gradually introduced to the language and formalisms of nonlinear sciences, which constitute the framework to describe complex system...

Table of Contents:

• 1. Presentation of Main Ideas
• 2. Basic Introduction to Bifurcations in 1-D
• 3. The Other Generic Bifurcations
• 4. Classification of the 7 Elementary Catastrophes
• 5. Hopf Bifurcation
• 6. Amplitude Equation for the Hopf Bifurcation
• 7. Parametric Instabilities and Other Nonlinear Behaviors
• 8. Introduction to Chaos
• 9. Pattern Formation in One Dimension
• 10. Universality in the Vicinity of the Threshold
• 11. Fronts between Domains
• 12. Order and Disorder both Spatial and Temporal
• 13. Two Dimensional Patterns
• 14. Wavelength Selection
• 15. Conclusion
• 16. Solutions to Exercises
• Bibliography. .