Otro
Hopf-zero bifurcations of reversible vector fields
Registro en:
Nonlinearity. Bristol: Iop Publishing Ltd, v. 14, n. 3, p. 623-638, 2001.
0951-7715
10.1088/0951-7715/14/3/310
WOS:000168924100010
Autor
Buzzi, C. A.
Teixeira, M. A.
Yang, J.
Resumen
We study the dynamics of a class of reversible vector fields having eigenvalues (0, alphai, -alphai) around their symmetric equilibria. We give a complete list of all normal forms for such vector fields, their versal unfoldings, and the corresponding bifurcation diagrams of the codimensional-one case. We also obtain some important conclusions on the existence of homoclinic and heteroclinic orbits, invariant tori and symmetric periodic orbits.