Abstract. We study the largest Lyapunov exponent of the response of a two dimensional non-Hamiltonian system driven by additive white noise. The specific system we consider is the third-order truncated normal form of the unfolding of a Hopf bifurcation. We show that in the small-noise limit the top Lyapunov exponent always approaches zero from below (and is thus negative for noise sufficiently small); we also show that there exist large sets of parameters for which the top Lyapunov exponent is positive. Thus the two-point motion can be either stable or unstable, while the one-point motion is always stable. 1
We show analytically that for a class of simple periodic motions in a general Hamiltonian system of ...
The dynamic stability of a two-dimensional system under bounded noise excitation with a narrow band ...
In this paper the stability of elementary cellular automata (ECAs) upon introduction of stochasticit...
Noise-induced stabilization is the phenomenon where a system of ordinary differential equations is u...
.3. ABSTRACT (maxim,.-In the joint work with Volker Wihstutz of the University of North Carolina, we...
We investigate the perturbation of the non-linear differential equation dx(t)dt = f(x(t)) by random ...
Instability behaviour of a gyropendulum subjected to white noise vertical support motion is examined...
AbstractThe Lyapunov exponent and moment Lyapunov exponents of two degrees-of-freedom linear systems...
We prove the positivity of Lyapunov exponents for the normal form of a Hopf bifurcation, perturbed b...
Abstract Let λ denote the almost sure Lyapunov exponent obtained by linearizing the stochastic Duffi...
A number of problems in mechanics, physics and applications are described by linear Ito stochastic d...
The stability and bifurcation behavior of mechanical systems parametrically excited by small periodi...
We consider the dynamics of a two-dimensional ordinary differential equation exhibiting a Hopf bifur...
A noisy damping parameter in the equation of motion of a nonlinear oscillator renders the fixed poin...
AbstractThe class of stochastic processes is characterized which, as multiplicative noise with large...
We show analytically that for a class of simple periodic motions in a general Hamiltonian system of ...
The dynamic stability of a two-dimensional system under bounded noise excitation with a narrow band ...
In this paper the stability of elementary cellular automata (ECAs) upon introduction of stochasticit...
Noise-induced stabilization is the phenomenon where a system of ordinary differential equations is u...
.3. ABSTRACT (maxim,.-In the joint work with Volker Wihstutz of the University of North Carolina, we...
We investigate the perturbation of the non-linear differential equation dx(t)dt = f(x(t)) by random ...
Instability behaviour of a gyropendulum subjected to white noise vertical support motion is examined...
AbstractThe Lyapunov exponent and moment Lyapunov exponents of two degrees-of-freedom linear systems...
We prove the positivity of Lyapunov exponents for the normal form of a Hopf bifurcation, perturbed b...
Abstract Let λ denote the almost sure Lyapunov exponent obtained by linearizing the stochastic Duffi...
A number of problems in mechanics, physics and applications are described by linear Ito stochastic d...
The stability and bifurcation behavior of mechanical systems parametrically excited by small periodi...
We consider the dynamics of a two-dimensional ordinary differential equation exhibiting a Hopf bifur...
A noisy damping parameter in the equation of motion of a nonlinear oscillator renders the fixed poin...
AbstractThe class of stochastic processes is characterized which, as multiplicative noise with large...
We show analytically that for a class of simple periodic motions in a general Hamiltonian system of ...
The dynamic stability of a two-dimensional system under bounded noise excitation with a narrow band ...
In this paper the stability of elementary cellular automata (ECAs) upon introduction of stochasticit...