Bifurcations in Van der Pol-Like Systems-Reference-Cited by-同舟云学术

Bifurcations in Van der Pol-Like Systems

Published:2013 Issue: Volume:2013 Page:1-8
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Aybar Orhan Ozgur¹²^ORCID,Kusbeyzi Aybar Ilknur³,Hacinliyan Avadis Simon²⁴⁵

Affiliation:

1. Department of Mathematics, Gebze Institute of Technology, Kocaeli, 41400 Gebze, Turkey

2. Department of Information Systems and Technologies, Yeditepe University, Atasehir, 34755 Istanbul, Turkey

3. Department of Computer Education and Instructional Technology, Yeditepe University, Atasehir, 34755 Istanbul, Turkey

4. Department of Physics, Yeditepe University, Atasehir, 34755 Istanbul, Turkey

5. Department of Physics, Bogazici University, Bebek, 34342 Istanbul, Turkey

Abstract

Generalizations of the Van der Pol system with polynomial interactions involving additional parameters are studied in order to understand qualitative properties such as stability and additional bifurcations in these generalized Van der Pol systems. The generalizations include the one known as the Duffing-Van der Pol system which has properties similar to those of the Maxwell-Bloch system.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2013/138430.pdf

Reference20 articles.

1. Perturbation Methods, Bifurcation Theory and Computer Algebra

2. Nonlinear Differential Equations and Dynamical Systems

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