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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Misbah, Chaouqi (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Dordrecht : Springer Netherlands : Imprint: Springer, 2017.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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. .