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THE HAUSDORFF DIMENSION OF ATTRACTORS APPEARING BY SADDLE-NODE BIFURCATIONS

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Publication:4348390
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DOI10.1142/S0218127491000233zbMath0874.58037OpenAlexW2017652022MaRDI QIDQ4348390

Mark A. Shereshevsky, Valentin Afraimovich

Publication date: 1991

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127491000233


zbMATH Keywords

strange attractorsbifurcationsHausdorff dimensiontwo-dimensional, smooth dynamical systems


Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Hausdorff and packing measures (28A78) Local and nonlocal bifurcation theory for dynamical systems (37G99)


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Towards a quasi-periodic mean field theory for globally coupled oscillators ⋮ On the dimension of deterministic and random Cantor-like sets, symbolic dynamics, and the Eckmann-Ruelle conjecture



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