Add to ORKGThe solution of a nonlinear oscillator with random initial conditions is considered. The differential equations governing the moments of the response are derived. In the limit the variances of the initial conditions vanish, the system is strictly deterministic. However, it is found that in a certain range of parameter values the moment equations do not lead to bounded response variances. This property provides a new approach to study onset of chaos
We discuss how the effective parameters characterising averaged motion in nonlinear systems are affe...
Differential equations subject to random impulses are studied. Randomness is introduced both through...
Using the formalism of the Ruelle response theory, we study how the invariant measure of an Axiom A ...
The solution of a nonlinear oscillator with random initial conditions is considered. The differentia...
The solution of a nonlinear oscillator with random initial conditions is considered. The differentia...
The author asks, in the limit the initial variances go to zero, does the response variance in time a...
Nonlinear dynamical systems, although strictly deterministic, often exhibit chaotic behavior which a...
Attention is focused on the chaotic behaviour of dynamical systems under stochastic excitation. Char...
An important component of the mathematical definition of chaos is sensitivity to initial conditions....
Proceedings, pp. 395—407 This paper is concerned with the study of some types of nonlinear oscillato...
An important component of the mathematical definition of chaos is sensitivity to initial conditions....
AbstractThe transient solution of a class of nonautonomous, stochastic differential equations with g...
Attention is focused on the chaotic behaviour of dynamical systems under stochastic excitation. Char...
First examined is the problem of obtaining the nonstationary stochastic response of a nonlinear syst...
We discuss how the effective parameters characterising averaged motion in nonlinear systems are affe...
We discuss how the effective parameters characterising averaged motion in nonlinear systems are affe...
Differential equations subject to random impulses are studied. Randomness is introduced both through...
Using the formalism of the Ruelle response theory, we study how the invariant measure of an Axiom A ...
The solution of a nonlinear oscillator with random initial conditions is considered. The differentia...
The solution of a nonlinear oscillator with random initial conditions is considered. The differentia...
The author asks, in the limit the initial variances go to zero, does the response variance in time a...
Nonlinear dynamical systems, although strictly deterministic, often exhibit chaotic behavior which a...
Attention is focused on the chaotic behaviour of dynamical systems under stochastic excitation. Char...
An important component of the mathematical definition of chaos is sensitivity to initial conditions....
Proceedings, pp. 395—407 This paper is concerned with the study of some types of nonlinear oscillato...
An important component of the mathematical definition of chaos is sensitivity to initial conditions....
AbstractThe transient solution of a class of nonautonomous, stochastic differential equations with g...
Attention is focused on the chaotic behaviour of dynamical systems under stochastic excitation. Char...
First examined is the problem of obtaining the nonstationary stochastic response of a nonlinear syst...
We discuss how the effective parameters characterising averaged motion in nonlinear systems are affe...
We discuss how the effective parameters characterising averaged motion in nonlinear systems are affe...
Differential equations subject to random impulses are studied. Randomness is introduced both through...
Using the formalism of the Ruelle response theory, we study how the invariant measure of an Axiom A ...