We start with the definition of Kolmogorov ε-entropy, via which we define fractal dimension of the compact set in the metric space. We will use these two concepts in the sequel
This accessible research monograph investigates how 'finite-dimensional' sets can be embedded into f...
Includes bibliographical references (pages [379]-385) and index.xii, 391 pages ;"This comprehensive ...
The fractal dimension of the global attractors of porous media equations in bounded domains is studi...
This chapter contains several abstract results related to the finite fractal dimension of invariant ...
Abstract: The key idea here is borrowed from dimension theory. The starting point is a new concept w...
We consider dynamical systems for which the spatial extension plays an important role. For these sys...
We prove an estimation of the Kolmogorov ε-entropy in H of the unitary ball in the space V , where H...
The investigation of trajectory complicated limiting sets of concrete dynamic systems with a cylindr...
We introduce the notion of metric entropy for a nonautonomous dynamical system given by a sequence o...
The theory of dynamical systems has undergone a dramatical revolution in the 20th century. The beaut...
Discrete dynamical systems are given by the pair (X, f ) where X is a compact metric space and f : X...
Both fractal geometry and dynamical systems have a long history of development and have provided fer...
The long-time behaviour of bounded solutions of a reaction-diffusion system in an unbounded domain Ω...
Abstract. The notion of metric entropy dimension is introduced to measure the complexity of entropy ...
AbstractOur aim in this note is to construct an exponential attractor of optimal (with respect to th...
This accessible research monograph investigates how 'finite-dimensional' sets can be embedded into f...
Includes bibliographical references (pages [379]-385) and index.xii, 391 pages ;"This comprehensive ...
The fractal dimension of the global attractors of porous media equations in bounded domains is studi...
This chapter contains several abstract results related to the finite fractal dimension of invariant ...
Abstract: The key idea here is borrowed from dimension theory. The starting point is a new concept w...
We consider dynamical systems for which the spatial extension plays an important role. For these sys...
We prove an estimation of the Kolmogorov ε-entropy in H of the unitary ball in the space V , where H...
The investigation of trajectory complicated limiting sets of concrete dynamic systems with a cylindr...
We introduce the notion of metric entropy for a nonautonomous dynamical system given by a sequence o...
The theory of dynamical systems has undergone a dramatical revolution in the 20th century. The beaut...
Discrete dynamical systems are given by the pair (X, f ) where X is a compact metric space and f : X...
Both fractal geometry and dynamical systems have a long history of development and have provided fer...
The long-time behaviour of bounded solutions of a reaction-diffusion system in an unbounded domain Ω...
Abstract. The notion of metric entropy dimension is introduced to measure the complexity of entropy ...
AbstractOur aim in this note is to construct an exponential attractor of optimal (with respect to th...
This accessible research monograph investigates how 'finite-dimensional' sets can be embedded into f...
Includes bibliographical references (pages [379]-385) and index.xii, 391 pages ;"This comprehensive ...
The fractal dimension of the global attractors of porous media equations in bounded domains is studi...
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