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Intermittency in connected hamiltonian systems

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  • Markus, Mario
  • Schmick, Malte

Abstract

Intermittency, as extensively examined in dissipative systems, is studied in hamiltonian systems consisting of integrable or chaotic billiards connected through a hole. Near the transition to intermittency we obtain the scaling law 〈τ〉∝|p−pc|−1, where 〈τ〉 is the mean residence time in a billiard, p is d or A−1 (d: hole length, A: area of the billiard, dc=A−1c=0). In cases with particular geometrical distortions in the neighborhood of the hole, this law holds if d is replaced by a conveniently defined effective hole size. This work is a first step for studying chaotic scattering systems whose exits are connected to confining potentials.

Suggested Citation

  • Markus, Mario & Schmick, Malte, 2003. "Intermittency in connected hamiltonian systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 328(3), pages 335-340.
    • Handle: RePEc:eee:phsmap:v:328:y:2003:i:3:p:335-340
    DOI: 10.1016/S0378-4371(03)00576-4
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