INVARIANT MEASURES AND THEIR PROJECTIONS IN NONAUTONOMOUS DYNAMICAL SYSTEMS-Reference-Cited by-同舟云学术

INVARIANT MEASURES AND THEIR PROJECTIONS IN NONAUTONOMOUS DYNAMICAL SYSTEMS

Published:2004-09 Issue:03 Volume:04 Page:439-459
ISSN:0219-4937
Container-title:Stochastics and Dynamics
language:en
Short-container-title:Stoch. Dyn.

Author:

ARTSTEIN ZVI¹

Affiliation:

1. Department of Mathematics, The Weizmann Institute of Science, Rehovot 76100, Israel

Abstract

Invariant measure-type notions are examined for nonautonomous dynamical systems, namely, for flows whose dynamics is affected by an external parameter. The desired measures are obtained as projections of invariant measures of the shift flow on the lifted space of trajectories. The specific cases of multi-valued dynamics and controlled dynamics are examined in detail and other applications are pointed out.

Publisher

World Scientific Pub Co Pte Lt

Subject

Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219493704001152

Reference16 articles.

1. Random Dynamical Systems

2. Invariant Measures of Differential Inclusions Applied to Singular Perturbations

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