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...

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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:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/48/abstr.html