Results 11 to 20 of about 34,502 (312)
On the Concept of Complexity of Random Dynamical Systems [PDF]
International Journal of Modern Physics B, 1998 We show how to introduce a characterization the "complexity" of random dynamical systems. More precisely we propose a suitable indicator of complexity in terms of the average number of bits per time unit necessary to specify the sequence generated by these systems.
Vittorio Loreto +2 more
+10 more sources
Random conformal dynamical systems [PDF]
Geometric and Functional Analysis, 2005 We consider random dynamical systems such as groups of conformal transformations with a probability measure, or transversaly conformal foliations with a Laplace operator along the leaves, in which case we consider the holonomy pseudo-group. We prove that either there exists a measure invariant under all the elements of the group (or the pseudo-group ...
Bertrand Deroin, Victor Kleptsyn
openalex +8 more sources
Random dynamical systems, entropies and information [PDF]
Physica A: Statistical Mechanics and its Applications, 2001 Prediction of events is the challenge in many different disciplines, from meteorology to finance; the more this task is difficult, the more a system is {\it complex}. Nevertheless, even according to this restricted definition, a general consensus on what should be the correct indicator for complexity is still not reached.
Maurizio Serva
openalex +6 more sources
Stability index of linear random dynamical systems [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2021 Given a homogeneous linear discrete or continuous dynamical system, its stability index is given by the dimension of the stable manifold of the zero solution.
Anna Cima +2 more
doaj +7 more sources
Random chain recurrent sets for random dynamical systems [PDF]
Dynamical Systems, 2009 It is known by the Conley's theorem that the chain recurrent set $CR( )$ of a deterministic flow $ $ on a compact metric space is the complement of the union of sets $B(A)-A$, where $A$ varies over the collection of attractors and $B(A)$ is the basin of attraction of $A$. It has recently been shown that a similar decomposition result holds for random
Xiaopeng Chen, Jinqiao Duan
openalex +5 more sources
Invariant measures and random attractors of stochastic delay differential equations in Hilbert space
Electronic Journal of Qualitative Theory of Differential Equations, 2022 This paper is devoted to a general stochastic delay differential equation with infinite-dimensional diffusions in a Hilbert space. We not only investigate the existence of invariant measures with either Wiener process or Lévy jump process, but also ...
Shangzhi Li, Shangjiang Guo
doaj +1 more source
AIMS Mathematics, 2021 We study the dynamical behavior of the solutions of stochastic discrete long wave-short wave resonance equations driven by fractional Brownian motions with Hurst parameter $ H\in(\frac{1}{2}, 1) $. And then we prove that the random dynamical system has a
Ranran Liu, Hui Liu, Jie Xin
doaj +1 more source
Unification of random dynamical decoupling and the quantum Zeno effect
New Journal of Physics, 2022 Periodic deterministic bang–bang dynamical decoupling and the quantum Zeno effect are known to emerge from the same physical mechanism. Both concepts are based on cycles of strong and frequent kicks provoking a subdivision of the Hilbert space into ...
Alexander Hahn +2 more
doaj +1 more source
PROGRAM GENERATOR PROCESSES INDUCED BY NONLINEAR DYNAMIC SYSTEM WITH IMPULS NOISES [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2017 The article considers nonlinear dynamic systems with impulse perturbation. The described method of generation of impulse random processes on a computer. On the example of the Lorenz system are considered a software module.
Kazakov E. A.
doaj +1 more source
Mathematics, 2023 An optimal control for a dynamical system optimizes a certain objective function. Here, we consider the construction of an optimal control for a stochastic dynamical system with a random structure, Poisson perturbations and random jumps, which makes the ...
Taras Lukashiv +4 more
doaj +1 more source