Abstract
We show a scenario of a two-frequency torus breakdown, in which a global bifurcation occurs due to the collision of a quasi-periodic torus T2 with saddle points, creating a heteroclinic saddle connection. We analyze the geometry of this torus-saddle collision by showing the local dynamics and the invariant manifolds (global dynamics) of the saddle points. Moreover, we present detailed evidences of a heteroclinic saddle-focus orbit responsible for the type-II intermittency induced by this global bifurcation. We also characterize this transition to chaos by measuring the Lyapunov exponents and the scaling laws.
Original language | English |
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Pages (from-to) | 2198-2210 |
Number of pages | 13 |
Journal | Chaos, Solitons & Fractals |
Volume | 39 |
Issue number | 5 |
Early online date | 22 Aug 2007 |
DOIs | |
Publication status | Published - 15 Mar 2009 |
Keywords
- dissipative dynamical-systems
- periodic-orbits
- attractors
- turbulence
- driven