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   Attractor Dimension Estimates for Dynamical Systems: Theory and Computation

                                                                







Attractor Dimension Estimates for Dynamical Systems: Theory and Computation Dedicated to Gennady Leonov (English)
(Co-author: N. V. Kuznetsov)
Springer Nature, 2020.


Contents

I       Basic elements of Attractor and Dimension Theories
1       Attractors and Lyapunov Functions
2       Singular Values, Exterior Calculus and Logarithmic Norms
3       Introduction to Dimension Theory
II       Dimension Estimates for Almost Periodic Flows and Dynamical Systems in Euclidean Spaces
1       Dimensional Aspects of Almost Periodic Dynamicsc
2       Dimension and Entropy Estimates for Dynamical Systems
3       Lyapunov Dimension for Dynamical Systems in Euclidean Spaces
III       Dimension Estimates on Riemannian Manifolds
1       Basic Concepts for Dimension Estimation on Manifolds
2       Dimension Estimates on Manifolds
3       Dimension and Entropy Estimates for Global Attractors of Cocycles
4       Dimension Estimates for Dynamical Systems with someDegree of Non-injectivity and Nonsmoothness
2       Appendix A: Basic Facts from Manifold Theory
2       Index
2       Appendix B: Miscellaneous Facts