Unstable dimension variability in coupled chaotic systems.

@article{Lai1999UnstableDV,
  title={Unstable dimension variability in coupled chaotic systems.},
  author={Ying Cheng Lai and David Lerner and Kurtis A. Williams and Celso Grebogi},
  journal={Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics},
  year={1999},
  volume={60 5 Pt A},
  pages={5445-54}
}
Systems of coupled chaotic maps and flows arise in many situations of physical and biological interest. The aim of this paper is to analyze and to present numerical evidence for a common type of nonhyperbolic behavior in these systems: unstable dimension variability. We show that unstable periodic orbits embedded in the dynamical invariant set of such a system can typically have different numbers of unstable directions. The consequence of this may be severe: the system cannot be modeled… CONTINUE READING
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F49620-98-1-0400, and by NSF under Grants No. PHY- 9722156 and No. DMS-962659. C.G. was supported by ONR ͑Physics Division͒ and by the CNPq/NSF-INT Pro- gram

  • F49620-98-1-0400, and by NSF under Grants No. PHY…

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