Differential and Integral Equations
- Differential Integral Equations
- Volume 26, Number 11/12 (2013), 1321-1333.
On the ergodic approach for the study of chaotic linear infinite dimensional systems
In this work, we will be interested in the study of chaotic behavior exhibited by some linear infinite-dimensional systems. Our tool for this is the theory of chaotic linear semigroups of operators, and we will make use of the imaginary eigenvalues of the infinitesimal generator to construct an invariant Gaussian measure with respect to which the associated semigroup will be strong mixing. An application to the dynamic of a size-structured cell population is given.
Differential Integral Equations, Volume 26, Number 11/12 (2013), 1321-1333.
First available in Project Euclid: 4 September 2013
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 37L40: Invariant measures 28D10: One-parameter continuous families of measure-preserving transformations 35Q92: PDEs in connection with biology and other natural sciences 92D25: Population dynamics (general)
EL Mourchid, S.; Latrach, K. On the ergodic approach for the study of chaotic linear infinite dimensional systems. Differential Integral Equations 26 (2013), no. 11/12, 1321--1333. https://projecteuclid.org/euclid.die/1378327428