Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2006-09-04
Nonlinear Sciences
Chaotic Dynamics
14 pages, 7 figures
Scientific paper
We present numerical verification of hyperbolic nature for chaotic attractor in a system of two coupled non-autonomous van der Pol oscillators (Kuznetsov, Phys. Rev. Lett., 95, 144101, 2005). At certain parameter values, in the four-dimensional phase space of the Poincare map a toroidal domain (a direct product of a circle and a three-dimensional ball) is determined, which is mapped into itself and contains the attractor we analyze. In accordance with the computations, in this absorbing domain the conditions of hyperbolicity are valid, which are formulated in terms of contracting and expanding cones in the tangent spaces (the vector spaces of the small state perturbations).
Kuznetsov Sergey P.
Sataev Igor R.
No associations
LandOfFree
Hyperbolic attractor in a system of coupled non-autonomous van der Pol oscillators: Numerical test for expanding and contracting cones does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Hyperbolic attractor in a system of coupled non-autonomous van der Pol oscillators: Numerical test for expanding and contracting cones, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hyperbolic attractor in a system of coupled non-autonomous van der Pol oscillators: Numerical test for expanding and contracting cones will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-727160