Invariant measures for the flow of a first order partial differential equation
- 19 September 1985
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 5 (3) , 437-443
- https://doi.org/10.1017/s0143385700003059
Abstract
We prove that the dynamical systems generated by first order partial differential equations are K-flows and chaotic in the sense of Auslander & Yorke.Keywords
This publication has 4 references indexed in Scilit:
- Notes on chaos in the cell population partial differential equationNonlinear Analysis, 1983
- On the existence of an invariant measure for the dynamical system generated by partial differential equationAnnales Polonici Mathematici, 1983
- Stable and chaotic solutions of a first order partial differential equationNonlinear Analysis, 1981
- Interval maps, factors of maps, and chaosTohoku Mathematical Journal, 1980