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| Title Details: | |
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Bifurcations |
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| Authors: |
Vougiatzis, Georgios |
| Reviewer: |
Tsiganis, Kleomenis |
| Subject: | NATURAL SCIENCES AND AGRICULTURAL SCIENCES > PHYSICS > GENERAL PHYSICS > NONLINEAR DYNAMICAL SYSTEMS |
| Description: | |
| Abstract: |
This chapter introduces the concept of bifurcation in a dynamical system, focusing primarily on planar systems. It begins by discussing the bifurcations of equilibrium points that occur in conservative mechanical systems and planar systems. Then, it describes the main bifurcations related to limit cycles, including the Hopf bifurcation, bifurcation from a center, and bifurcation from a homoclinic loop. Finally, specific systems are presented and studied, including a nonlinear oscillator and a chemical oscillator.
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| Technical Editors: |
Koumartzis, Nikolaos Sfyrakis, Chrysovalantis |
| Graphic Editors: |
Koumartzis, Nikolaos |
| Type: |
Chapter |
| Creation Date: | 2015 |
| Item Details: | |
| License: |
http://creativecommons.org/licenses/by-nc-nd/3.0/gr |
| Handle | http://hdl.handle.net/11419/1798 |
| Bibliographic Reference: | Vougiatzis, G. (2015). Bifurcations [Chapter]. In Vougiatzis, G., & Meletlidou, E. 2015. Introduction to Non-Linear Dynamical Systems [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/1798 |
| Language: |
Greek |
| Is Part of: |
Introduction to Non-Linear Dynamical Systems |
| Publication Origin: |
Kallipos, Open Academic Editions |