Dimension Estimates for Dynamical Systems with Some Degree of Non-injectivity and Nonsmoothness

Author:

Kuznetsov Nikolay,Reitmann Volker

Publisher

Springer International Publishing

Reference40 articles.

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2. Afraimovich, V.S.: On the Lyapunov dimension of invariant sets in a model of active medium. In: Methods of Qualitative Theory of Differential Equations, pp. 19–29. Gorki State University, Gorki (1986) (Russian)

3. Belykh, V.N.: Qualitative Methods of the Theory of Nonlinear Oscillations in Finite Dimensional Systems. Gorki University Press, Gorki (1980) (Russian)

4. Belykh, V.N.: Models of discrete systems of phase synchronization. In: Shakhgil’dyan, V.V., Belyustina, L.N. (eds.) Systems of Phase Synchronization, pp. 161–176. Radio i Svyaz’, Moscow (1982) (Russian)

5. Boichenko, V.A., Leonov, G.A., Franz, A., Reitmann, V.: Hausdorff and fractal dimension estimates of invariant sets of non-injective maps. Zeitschrift für Analysis und ihre Anwendungen (ZAA) 17(1), 207–223 (1998)

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