From quasiperiodicity to toroidal chaos: analogy between the Curry-Yorke map and the van der Pol system.
The van der Pol attractor exhibits a wide variety of behavior depending on the control parameter values: limit cycles, quasiperiodic motion on a torus, mode locking, period doubling, banded chaos, boundary crises, torus wrinkling, breakup of a torus, and toroidal chaos. The organization of these phenomena with respect to each other is well described by studying a partition of the control parameter plane of the Curry-Yorke map.
CORIA UMR 6614-Université de Rouen, BP 12, F-76801 Saint-Etienne du Rouvray cedex, France.
Christophe
C
Letellier
Valérie
V
Messager
Robert
R
Gilmore