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Complex Dynamics and Morphogenesis An Introduction to Nonlinear Science

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...

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Bibliographic Details
Main Author: Misbah, Chaouqi
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 2017, 2017
Edition:1st ed. 2017
Subjects:
Complex Systems
Nonlinear Optics
System Theory
Mathematical Physics
Biophysics
Mathematical Methods In Physics
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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.

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