BIFURCATION OF LIMIT CYCLES FROM A FOUR-DIMENSIONAL CENTER IN CONTROL SYSTEMS

References

• A. Buică and J. Llibre, Bull. Sci. Math. 128, 7 (2004). Crossref, ISI, Google Scholar
• V. Carmonaet al., IEEE Trans. Circuits Syst.-I 49, 609 (2002). Crossref, ISI, Google Scholar
• S.-N.   Chow and J.   Hale , Methods of Bifurcation Theory ( Springer-Verlag , Berlin , 1982 ) . Crossref, Google Scholar
• E. Freire, E. Ponce and J. Ros, Int. J. Bifurcation and Chaos 9, 895 (1999). Link, ISI, Google Scholar
• J.   Guckenheimer and P.   Holmes , Nonlinear Oscillations, Dynamical Systems, and Bifurcation of Vector Fields ( Springer-Verlag , Berlin , 1983 ) . Crossref, Google Scholar
• M. Han, Acta Math. Appl. Sin. 21, 1 (1998). ISI, Google Scholar
• M. Han, K. Jiang and D. Green Jr., Nonlin. Anal. 36, 319 (1999). Crossref, ISI, Google Scholar
• J. Llibre and E. Ponce, Dyn. Stab. Syst. 11, 49 (1996). Crossref, Google Scholar
• J. Llibre and J. Sotomayor, Nonlin. Anal. TMA 27, 1177 (1996). Crossref, ISI, Google Scholar
• J. Llibre and E. Ponce, Int. J. Bifurcation and Chaos 13, 895 (2003). Link, ISI, Google Scholar
• J. Llibre, E. Ponce and X. Zhang, Nonlin. Anal. 54, 977 (2003). Crossref, ISI, Google Scholar
• N. G.   Lloyd , Degree Theory ( Cambridge University Press , 1978 ) . Google Scholar
• Teruel, A. [2000] Clasificación Topológica de una Familia de Campos Vectoriales Lineales a Trozos Simétricos en el Plano (The Topological Classification of a Family of Planar Piecewise Linear Systems) (in Spanish), PhD thesis, Universitat Autònoma de Barcelona . Google Scholar
• F.   Verhulst , Nonlinear Differential Equations and Dynamical Systems , 2nd edn. , Universitext ( Springer , 1996 ) . Crossref, Google Scholar