Hopf bifurcations and small amplitude limit cycles in Rucklidge systems

Hopf bifurcations and small amplitude limit cycles in Rucklidge systems

In this article we study Hopf bifurcations and small amplitude limit cycles in a family of quadratic systems in the three dimensional space called Rucklidge systems. Bifurcation analysis at the equilibria of Rucklidge system is pushed forward toward the calculation of the second Lyapunov coeffic...

Full description

Bibliographic Details
Main Authors: Fabio Scalco Dias, Luis Fernando Mello
Format: Article
Language:English
Published: Texas State University 2013-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Rucklidge system
limit cycle
stability
Lyapunov coefficient
Online Access:http://ejde.math.txstate.edu/Volumes/2013/48/abstr.html
Description
Summary:In this article we study Hopf bifurcations and small amplitude limit cycles in a family of quadratic systems in the three dimensional space called Rucklidge systems. Bifurcation analysis at the equilibria of Rucklidge system is pushed forward toward the calculation of the second Lyapunov coefficient, which makes possible the determination of the Lyapunov and higher order structural stability.
ISSN:1072-6691

Similar Items