Results 291 to 300 of about 319,639 (338)
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Dynamical Spectrum in Random Dynamical Systems
Journal of Dynamics and Differential Equations, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Guangwa, Cao, Yongluo
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2007
This treatment provides an exposition of discrete time dynamic processes evolving over an infinite horizon. Chapter 1 reviews some mathematical results from the theory of deterministic dynamical systems, with particular emphasis on applications to economics. The theory of irreducible Markov processes, especially Markov chains, is surveyed in Chapter 2.
Rabi Bhattacharya, Mukul Majumdar
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This treatment provides an exposition of discrete time dynamic processes evolving over an infinite horizon. Chapter 1 reviews some mathematical results from the theory of deterministic dynamical systems, with particular emphasis on applications to economics. The theory of irreducible Markov processes, especially Markov chains, is surveyed in Chapter 2.
Rabi Bhattacharya, Mukul Majumdar
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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
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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
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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.
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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.
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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
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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.
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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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