Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
760207 | Communications in Nonlinear Science and Numerical Simulation | 2007 | 10 Pages |
Abstract
A numerical characteristic for one-dimensional deterministic systems reflecting its higher order difference structure is introduced. The comparison with Lyapunov exponent is given. A difference analogy for Eggleston theorem as well as an estimate for Hausdorff dimension of the difference attractor, formulated in terms of the new characteristic is proved.
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Authors
A.Yu. Shahverdian, A.V. Apkarian,