Ludwig Arnold

Stabilization of Linear Systems by Noise

It is proved that the biggest Lyapunov number

TOWARD AN UNDERSTANDING OF STOCHASTIC HOPF BIFURCATION: A CASE STUDY

\lambda _{\max }

Qualitative Theory of Stochastic Systems

of the system

Perfect cocycles through stochastic differential equations

\dot x = (A + F(t))x

White and coloured external noise and transition phenomena in nonlinear systems

, where A is a fixed

Small noise expansion of moment Lyapunov exponents for two-dimensional systems

d \times d

On unique ergodicity for degenerate diffusions

matrix and

Iterated Function Systems and Multiplicative Ergodic Theory

F(t)

Stationary and almost periodic solutions of almost periodic affine stochastic differential equations

is a zero mean strictly stationary matrix-valued stochastic process, satisfies

The Stochastic Brusselator: Parametric Noise Destroys Hoft Bifurcation

{1 / d}