RANDOM DYNAMICAL SYSTEMS (Springer Monographs in Mathematics)

By K. Elworthy. 2000

341 citations recorded by the source corpus.

Subfields: Molecular Biology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/937a9cbfe916cc5b4229f9778cff2b9264f3f61b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Molecular Biology

1. Duo Wang
2. Carl Chiarella
3. Karl J. Friston
4. Min Zheng
5. Xue-zhong He
6. Melody Andrews

In Statistical and Nonlinear Physics

1. Xue-zhong He
2. Duo Wang
3. Carl Chiarella
4. Karl J. Friston
5. Min Zheng
6. Melody Andrews
7. Andy Clark
8. Rafal Bogacz

Citations in the corpus

• The stochastic bifurcation behaviour of speculative financial markets (2008, methodology): “Similar to the stability analysis of a deterministic dynamical system, the stability of invariant measures of a random dynamical system is described by the Lyapunov exponents given by the multiplicative ergodic theorem (MET) (see Arnold [1]) which is the stochastic equivalent of the eigenvalue-eigen”
• A Free Energy Principle for Biological Systems (2012, background): “In terms of random dynamical systems, this means the system possesses a random dynamical attractor [34,35,52], which we assume is ergodic.”