Abrupt bifurcation to chaotic scattering with discontinuous change in fractal dimension

Y C Lai

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

One of the major routes to chaotic scattering is through an abrupt bifurcation by which a nonattracting chaotic saddle is created as a system parameter changes through a critical value. In a previously investigated case, however, the fractal dimension of the set of singularities in the scattering function changes continuously through the bifurcation. We describe a type of abrupt bifurcation to chaotic scattering where this physically relevant dimension changes discontinuously at the bifurcation. The bifurcation is illustrated using a class of open Hamiltonian systems consisting of Morse potential hills. [S1063-651X(99)51112-4].

Original languageEnglish
Pages (from-to)R6283-R6286
Number of pages4
JournalPhysical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume60
Issue number6
Publication statusPublished - Dec 1999

Keywords

  • Hamiltonian-systems
  • vortex pairs
  • dynamics
  • fluctuations
  • attractors
  • behavior
  • regime
  • model

Cite this

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N2 - One of the major routes to chaotic scattering is through an abrupt bifurcation by which a nonattracting chaotic saddle is created as a system parameter changes through a critical value. In a previously investigated case, however, the fractal dimension of the set of singularities in the scattering function changes continuously through the bifurcation. We describe a type of abrupt bifurcation to chaotic scattering where this physically relevant dimension changes discontinuously at the bifurcation. The bifurcation is illustrated using a class of open Hamiltonian systems consisting of Morse potential hills. [S1063-651X(99)51112-4].

AB - One of the major routes to chaotic scattering is through an abrupt bifurcation by which a nonattracting chaotic saddle is created as a system parameter changes through a critical value. In a previously investigated case, however, the fractal dimension of the set of singularities in the scattering function changes continuously through the bifurcation. We describe a type of abrupt bifurcation to chaotic scattering where this physically relevant dimension changes discontinuously at the bifurcation. The bifurcation is illustrated using a class of open Hamiltonian systems consisting of Morse potential hills. [S1063-651X(99)51112-4].

KW - Hamiltonian-systems

KW - vortex pairs

KW - dynamics

KW - fluctuations

KW - attractors

KW - behavior

KW - regime

KW - model

M3 - Article

VL - 60

SP - R6283-R6286

JO - Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

SN - 1063-651X

IS - 6

ER -