Zobrazeno 1 - 10
of 81
pro vyhledávání: '"Doan, Thai Son"'
Autor:
Doan, Thai Son
This paper is devoted to study stability of Lyapunov exponents and simplicity of Lyapunov spectrum for bounded random compact operators on a separable infinite-dimensional Hilbert space from a generic point of view generated by the essential supremum
Externí odkaz:
http://arxiv.org/abs/2303.14359
Autor:
Doan, Thai Son, Kloeden, Peter E.
It is shown that the attractor of an autonomous Caputo fractional differential equation of order $\alpha\in(0,1)$ in $\mathbb{R}^d$ whose vector field has a certain triangular structure and satisfies a smooth condition and dissipativity condition is
Externí odkaz:
http://arxiv.org/abs/2108.11715
Publikováno v:
In Systems & Control Letters April 2024 186
The presence of slow-fast Hopf (or singular Hopf) points in slow-fast systems in the plane is often deduced from the shape of a vector field brought into normal form. It can however be quite cumbersome to put a system in normal form. In the monograph
Externí odkaz:
http://arxiv.org/abs/2005.10742
Autor:
Cuong, Le Viet, Doan, Thai Son
In this paper, we show that for discrete time-varying linear control systems uniform complete controllability implies arbitrary assignability of dichotomy spectrum of closed-loop systems. This result significantly strengthens the result in A. Babiarz
Externí odkaz:
http://arxiv.org/abs/1908.04763
The emergence of noise-induced chaos in a random logistic map with bounded noise is understood as a two-step process consisting of a topological bifurcation flagged by a zero-crossing point of the supremum of the dichotomy spectrum and a subsequent d
Externí odkaz:
http://arxiv.org/abs/1811.03994
A characterization of delay independent stability for linear off-diagonal delay difference equations
Publikováno v:
In Systems & Control Letters January 2023 171
Publikováno v:
In Journal of Differential Equations 5 February 2022 309:176-195
We consider the dynamics of a two-dimensional ordinary differential equation exhibiting a Hopf bifurcation subject to additive white noise and identify three dynamical phases: (I) a random attractor with uniform synchronisation of trajectories, (II)
Externí odkaz:
http://arxiv.org/abs/1710.09649
We provide a classification of random orientation-preserving homeomorphisms of $\mathbb{S}^1$, up to topological conjugacy of the random dynamical systems generated by i.i.d. iterates of the random homeomorphism. This classification covers all random
Externí odkaz:
http://arxiv.org/abs/1707.05401