Results 191 to 200 of about 319,566 (236)
Some of the next articles are maybe not open access.
2016
In this chapter we will introduce methods and techniques to analyze models with stochasticity or randomness. In particular we will establish the framework of random dynamical systems and introduce the concept of random attractors.
Tomás Caraballo, Xiaoying Han
openaire +1 more source
In this chapter we will introduce methods and techniques to analyze models with stochasticity or randomness. In particular we will establish the framework of random dynamical systems and introduce the concept of random attractors.
Tomás Caraballo, Xiaoying Han
openaire +1 more source
1995
This paper was given as a presentation at the Jahrestagung der DMV in Berlin, 1992. It provides an overview of the theory of random dynamical systems (RDS's), and covers in a very short, but precise way the state of the art in the following areas: 1. Metric, topological, and smooth dynamics, 2. RDS: concept, invariant measures, 3. Generation of RDS, 4.
openaire +2 more sources
This paper was given as a presentation at the Jahrestagung der DMV in Berlin, 1992. It provides an overview of the theory of random dynamical systems (RDS's), and covers in a very short, but precise way the state of the art in the following areas: 1. Metric, topological, and smooth dynamics, 2. RDS: concept, invariant measures, 3. Generation of RDS, 4.
openaire +2 more sources
Autonomous random perturbations of dynamical systems
Russian Mathematical Surveys, 2002Consider an oscillation with one degree of freedom perturbed by a small friction \[ \ddot q_t^{\varepsilon} + f(q_t^{\varepsilon}) = -\varepsilon \dot q_t^{\varepsilon}, \qquad 0< \varepsilon \ll 1. \] This equation is a special case of the Hamiltonian system \[ \dot X_t^{\varepsilon}=\bar\nabla H(X_t^{\varepsilon}) +\varepsilon b(X_t^{\varepsilon ...
Freidlin, M., Ren, Huaizhong
openaire +2 more sources
Linearization of Random Dynamical Systems
1995At the end of the last century the French mathematician Henri Poincare laid the foundation for what we call nowadays the qualitative theory of ordinary differential equations. Roughly speaking, this theory is devoted to studying how the qualitative behavior (e.g.
openaire +2 more sources
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
openaire +1 more source
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.
openaire +1 more source
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 ...
openaire +1 more source
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
openaire +1 more source
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.
openaire +1 more source