ArticlesFree Access

ON THE INTEGRABILITY OF A MUTHUSWAMY–CHUA SYSTEM

Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain

and

Departamento de Matemática, Instituto Superior Técnico, Universidade Técnica de Lisoba, Av. Rovisco Pais 1049-001, Lisboa, Portugal

Search for more papers by this author

Cited by:1 (Source: Crossref)

Abstract

In this paper we study the integrability of the Muthuswamy–Chua system

For α = 0 we characterize all its generalized rational first integrals, which contains the Darboux type first integrals. For α ≠ 0 we show that the system has no Darboux type first integrals.

Keywords:

AMSC: 34C05, 34A34

References

Y. T. Christodoulides and P. A. Damianou , J. Nonlinear Math. Phys. 16 , 339 ( 2009 ) . Link, Web of Science, Google Scholar
C. Christopher and J. Llibre , Ann. Differential Equations 14 , 5 ( 2000 ) . Google Scholar
C. Christopher , J. Llibre and J. V. Pereira , Pacific J. Math. 229 , 63 ( 2007 ) . Crossref, Web of Science, Google Scholar
W. Cong , J. Llibre and X. Zhang , J. Differential Equations 251 , 2770 ( 2011 ) . Crossref, Web of Science, Google Scholar
F. Dumortier , J. Llibre and J. C. Artés , Qualitative Theory of Planar Differential Systems , Universitext ( Springer-Verlag , New York , 2006 ) . Google Scholar
J. Ginoux , C. Letellier and L. O. Chua , Int. J. Bifurcation Chaos 20 , 3819 ( 2010 ) . Link, Web of Science, Google Scholar
J. Llibre and X. Zhang , J. Differential Equations 246 , 541 ( 2009 ) . Crossref, Web of Science, Google Scholar
J. Llibre and X. Zhang , Bull. Sci. Math. 133 , 765 ( 2009 ) . Crossref, Web of Science, Google Scholar
B. Muthuswamy and L. O. Chua , Int. J. Bifurcation Chaos 20 , 1567 ( 2010 ) . Link, Web of Science, Google Scholar