Symmetric periodic orbits near heteroclinic loops at infinity for a class of polynomial vector fields

International Journal of Bifurcation and Chaos

Volumn 16, Issue 11, 2006, Pages 3401-3410

  Corbera, Montserrat ^a   Llibre, Jaume ^b  

^a UNIVERSITY OF VIC CENTRAL UNIVERSITY OF CATALONIA   (Spain)

^b UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

Author keywords

Heteroclinic loop; Polynomial vector fields; Symmetric periodic orbits

Indexed keywords

BIFURCATION (MATHEMATICS); SET THEORY; VECTORS;

HETEROCLINIC LOOP; POLYNOMIAL VECTOR FIELDS; SYMMETRIC PERIODIC ORBITS;

POLYNOMIALS;

EID: 33847647644     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127406016884     Document Type: Article

References (4)

1. 3," J. Math. Anal. Appl., to appear.
2. Cima, A. & Llibre, J. [1990] "Bounded polynomial vector fields," Trans. Amer. Math. Soc. 318, 557-579.
3. Llibre, J., MacKay, R. S. & Rodríguez, G. [2004] "Periodic dynamics bifurcating from infinity," preprint.
4. Newell, A. C., Rand, D. A. & Russell, D. [1988] "Turbulent transport and the random occurrence of coherent events," Physica D 33, 281-303.