2 citations · 3 across the 4 of their papers we have counts for
7 papers
Attractors of Caputo fractional differential equations with triangular vector fields
Thai Son Doan, Peter E. Kloeden
It is shown that the attractor of an autonomous Caputo fractional differential equation of order in whose vector field has a certain triangular structure…
Assignability of dichotomy spectrum for discrete time-varying linear control systems
Le Viet Cuong, Thai Son Doan
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 s…
Semi-dynamical systems generated by autonomous Caputo fractional differential equations
T. S. Doan, Peter E. Kloeden
An autonomous Caputo fractional differential equation of order in whose vector field satisfies a global Lipschitz condition is shown to generate a semi-d…
Dynamical characterization of stochastic bifurcations in a random logistic map
Yuzuru Sato, Thai Son Doan, Jeroen S. W. Lamb +1
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-cross…
An analytical proof for synchronization of stochastic phase oscillator
Y. Sato, T. S. Doan, N. T. The +1
In this paper, we show that under a generic condition of the coefficient of a stochastic phase oscillator the Lyapunov exponent of the linearization along an arbitrary solution is…
Classification of random circle homeomorphisms up to topological conjugacy
Thai Son Doan, Jeroen S. W. Lamb, Julian Newman +1
We provide a classification of random orientation-preserving homeomorphisms of , up to topological conjugacy of the random dynamical systems generated by i.i.d. itera…