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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| Language: | English |
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Dordrecht :
Springer Netherlands : Imprint: Springer,
2017.
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| Edition: | 1st ed. 2017. |
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| Online Access: | https://doi.org/10.1007/978-94-024-1020-4 |
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. .