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From quasiperiodicity to high-dimensional chaos without intermediate low-dimensional chao

AuthorsPazó, Diego ; Matías, Manuel A.
Issue Date7-Sep-2009
AbstractWe study and characterize a direct route to high-dimensional chaos (i.e. not implying an intermediate low-dimensional attractor) of a system composed out of three coupled Lorenz oscillators. A geometric analysis of this medium-dimensional dynamical system is carried out through a variety of numerical quantitative and qualitative techniques, that ultimately lead to the reconstruction of the route. The main finding is that the transition is organized by a heteroclinic explosion. The observed scenario resembles the classical route to chaos via homoclinic explosion of the Lorenz model.
DescriptionPACS numbers: 05.45.+b,05.45.X. arXiv:0909.1260v1
Appears in Collections:(IFCA) Artículos
(IFISC) Artículos
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