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A saddle point embedded in the chaoticattractor is responsible for these nontrivial noise-induced effects.
2
A chaoticattractor containing unstable periodic orbits with different numbers of unstable directions is said to exhibit unstable dimension variability (UDV).
3
We propose an efficient iterative scheme for calculating the box-counting (capacity) dimension of a chaoticattractor in terms of its average expansion rates.
4
These are used to quantify the behavior of numerical examples of coupled chaoticattractors.
5
We study the relaxation to an invariant probability measure on quasihyperbolic and nonhyperbolic chaoticattractors in the presence of noise.