A note on the fractal dimension of attractors of dissipative dynamical systems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 44, Issue 6, 2001, Pages 811-819

  Chepyzhov, V V ^a   Ilyin, A A ^b  

^a INSTITUTE FOR INFORMATION TRANSMISSION PROBLEMS   (Russian Federation)

^b KELDYSH INSTITUTE OF APPLIED MATHEMATICS   (Russian Federation)

Author keywords

Attractors; Fractal dimension; Navier Stokes equations

Indexed keywords

COMPUTATIONAL COMPLEXITY; SET THEORY; THEOREM PROVING;

ATTRACTORS; DISSIPATIVE DYNAMICAL SYSTEMS;

FRACTALS;

EID: 0035341690     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(99)00309-0     Document Type: Article

References (8)

1. A note on Kaplan-Yorke-type estimates on the fractal dimension of chaotic attractors
2. Dimension de hausdorff des attracteurs
3. Attractors for Navier-Stokes equations in domains with finite measure
4. First boundary value problem for Navier-Stokes equations in domain with non smooth boundaries
5. On the Schrödinger equation and the eigenvalue problem
6. On optimal constants in some Sobolev inequalities and their applications to a nonlinear Schrödinger equation