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Random Dynamical Systems with Inputs
2013This work introduces a notion of random dynamical systems with inputs, providing several basic definitions and results on equilibria and convergence. It also presents a “converging input to converging state” (“CICS”) result, a concept that plays a key role in the analysis of stability of feedback interconnections, for monotone systems.
Michael Marcondes de Freitas +1 more
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Random Dynamical Systems: Foundations
1997Abstract The theory of random dynamical systems is a relatively new field of research. It continues, extends and unites various developments in probability theory and the theory of dynamical systems. Suppose we wish to investigate a process of the real world.
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Random dynamical systems with jumps
Journal of Applied Probability, 2004We consider random dynamical systems with randomly chosen jumps on infinite-dimensional spaces. The choice of deterministic dynamical systems and jumps depends on a position. The system generalizes dynamical systems corresponding to learning systems, Poisson driven stochastic differential equations, iterated function system with infinite family of ...
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Topological Dynamics of Random Dynamical Systems
1997Abstract This book is devoted to the theory of topological dynamics of random dynamical systems. The theory of random dynamical systems is a relatively new and fast expanding field of research which attracts the attention of researchers from various fields of science. It unites and develops the classical deterministic theory of dynamical
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Random Dynamical Systems in Economics
2005Random dynamical systems are useful in modeling the evolution of economic processes subject to exogenous shocks. One obtains strong results on the existence, uniqueness, stability of the invariant distribution of such systems when an appropriate splitting condition is satisfied.
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Extreme events in dynamical systems and random walkers: A review
Physics Reports, 2022Sayantan Nag Chowdhury +2 more
exaly
Random Close Packing as a Dynamical Phase Transition
Physical Review Letters, 2021Sam Wilken, Rodrigo E Guerra, Dov Levine
exaly
4. Sublinear Random Dynamical Systems
20024.1 Sublinear and Concave RDS 4.2 Equilibria and Semi-Equilibria for Sublinear RDS 4.3 Almost Equilibria 4.4 Limit Set Trichotomy for Sublinear RDS 4.5 Random Mappings 4.6 Positive Affine ...
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