Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2004-08-11
Phys. Rev. Lett. 95, 224101 (2005)
Nonlinear Sciences
Chaotic Dynamics
4 pages including 3 EPS figures, this is an improved version of the paper (accepted to PRL, 2005)
Scientific paper
10.1103/PhysRevLett.95.224101
We show for the first time that a {\it weak} perturbation in a Hamiltonian system may lead to an arbitrarily {\it wide} chaotic layer and {\it fast} chaotic transport. This {\it generic} effect occurs in any spatially periodic Hamiltonian system subject to a sufficiently slow ac force. We explain it and develop an explicit theory for the layer width, verified in simulations. Chaotic spatial transport as well as applications to the diffusion of particles on surfaces, threshold devices and others are discussed.
Mannella Riccardo
Soskin Marat S.
Yevtushenko O. M.
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