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Journal of Dynamical Systems and Geometric Theories

(Since 2002)
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X

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Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

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Journal of Dynamical Systems and Geometric Theories
Open Access Original Articles

Effect of All Quadratic Terms on Third Order Oscillation

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pp. 35–48Vol. 6Issue 1June 2013DOI: 10.1080/1726037X.2008.10698543XML
Published Online:
03 Jun 2013
Article type:
Original Articles
Language:
EN
Article no.:
1726037X.2008.10698543
Pages:
35–48

Abstract

In this paper, we consider non-linear perturbation for the third order linear oscillator. Using the center manifold reduction, we reduced system into second order differential equation. Then we study the Hopf bifurcation of the system and stability of the periodic orbits. At the end we classify the effect of 2-jet of parametric perturbation.

Keywords

Center manifoldBifurcationStabilityPeriodic Solution

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