Lower bounds for the Hausdorff dimension of attractors

DOI10.1007/BF02219372zbMath0830.34044MaRDI QIDQ1898803

James S. Muldowney, Michael Y. Li

Publication date: 14 January 1996

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Hilbert spacesdynamical systemHausdorff dimensionattractorBoolean criterionnonexistence of periodic orbits

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Attractors of solutions to ordinary differential equations (34D45) Hausdorff and packing measures (28A78) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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Hidden and unstable periodic orbits as a result of homoclinic bifurcations in the Suarez-Schopf delayed oscillator and the irregularity of ENSO ⋮ Unnamed Item ⋮ A generalization of Bendixson’s criterion ⋮ Algorithmic global criteria for excluding oscillations ⋮ Criteria on the nonexistence of invariant Lipschitz submanifolds for dynamical systems ⋮ Approximation of box dimension of attractors using the subdivision algorithm ⋮ Compound operators on vector spaces with applications to linear differential equations ⋮ Dynamics of differential equations on invariant manifolds ⋮ Existence of periodic solutions for Ginzburg-Landau equations of superconductivity

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