Entropy, Lyapunov exponents, and Hausdorff dimension in differentiable dynamical systems
- 1 August 1983
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuits and Systems
- Vol. 30 (8) , 599-607
- https://doi.org/10.1109/tcs.1983.1085395
Abstract
This is an expository article on the interrelations between three concepts in differentiable dynamical systems: Entropy, Lyapunov exponents, and Hausdorff dimension. The paper begins with an introduction to these concepts and includes a discussion of some recent results.Keywords
This publication has 18 references indexed in Scilit:
- On some systems motivated by the Lorenz equations: Numerical resultsPublished by Springer Nature ,2008
- On local entropyPublished by Springer Nature ,1983
- The evolution of a turbulent vortexCommunications in Mathematical Physics, 1982
- A proof of the estimation from below in Pesin's entropy formulaErgodic Theory and Dynamical Systems, 1982
- Dimension, entropy and Lyapunov exponentsErgodic Theory and Dynamical Systems, 1982
- Capacity of attractorsErgodic Theory and Dynamical Systems, 1981
- Some relations between dimension and Lyapounov exponentsCommunications in Mathematical Physics, 1981
- Dynamics of the Van der Pol equationIEEE Transactions on Circuits and Systems, 1980
- A two-dimensional mapping with a strange attractorCommunications in Mathematical Physics, 1976
- Deterministic Nonperiodic FlowJournal of the Atmospheric Sciences, 1963