Highly Influenced

# 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} }

- Published 1999 in Physical review. E, Statistical physics, plasmas…

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