| Title Details: | |
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Dynamical Systems |
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| Other Titles: |
With Applications to Ecology and Physics |
| Authors: |
Myritzis, Ioannis |
| Reviewer: |
Chatzisavvas, Nikolaos |
| Subject: | NATURAL SCIENCES AND AGRICULTURAL SCIENCES > PHYSICS > GENERAL PHYSICS > NONLINEAR DYNAMICAL SYSTEMS |
| Keywords: |
Differential Equations
Ecology Oscillations Nonlinear Systems |
| Description: | |
| Abstract: |
This book is written for undergraduate students who wish to follow an introduction to continuous dynamical systems. Prior knowledge of differential equations is desirable but not necessary. Prerequisites are minimal: elements of calculus and elements of linear algebra are sufficient to study the entire book. For the sake of completeness, a chapter dealing with the issue of the eigenvalues of matrices has been included. An effort was made to make the book the most detailed and pedagogical introduction to the theory of dynamical systems.
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| Type: |
Undergraduate textbook |
| Creation Date: | 2015 |
| Item Details: | |
| ISBN |
978-960-603-423-7 |
| License: |
Attribution - NonCommercial - ShareAlike 4.0 International (CC BY-NC-SA 4.0) |
| DOI | http://dx.doi.org/10.57713/kallipos-570 |
| Handle | http://hdl.handle.net/11419/4532 |
| Bibliographic Reference: | Myritzis, I. (2015). Dynamical Systems [Undergraduate textbook]. Kallipos, Open Academic Editions. https://dx.doi.org/10.57713/kallipos-570 |
| Language: |
Greek |
| Consists of: |
1. Ordinary Differential Equations 2. The Theorem of Existence and Uniqueness 3. Elements of Linear Algebra 4. One-dimensional Dynamical Systems 5. Two-dimensional Linear Systems 6. The Linearization Theorem 7. The Notion of Stability 8. Invariant Sets, Limit Sets 9. Bifurcations of Equilibrium Points 10. Models of Interacting Populations 11. Conservative Systems 12. Appendix |
| Number of pages |
231 |
| Publication Origin: |
Kallipos, Open Academic Editions |
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