A scenario for torus T destruction via a global bifurcation |
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Authors: | T. Pereira M.S. Baptista M.B. Reyes I.L. Caldas J.C. Sartorelli J. Kurths |
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Affiliation: | aInstituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05315-970 São Paulo, SP, Brazil;bNonlinear Dynamics, Institute of Physics, University of Potsdam, D-14415, Potsdam, Germany |
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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. |
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