Add to ORKGIn intermittent dynamical systems, the distributions of local Lyapunov expo-nents are markedly non-Gaussian and tend to be asymmetric and fat-tailed. A comparative analysis of the different time-scales in intermittency provides a heuristic explanation for the origin of the exponential tails, for which we also obtain an analytic expression deriving from a more quantitative theory. Appli-cation is made to several examples of discrete dynamical systems displaying intermittent dynamics. KEY WORDS: Intermittency; finite time Lyapunov exponents; exponential tails. 1
4 pages, 3 figuresInternational audienceWe propose a simple phenomenological model exhibiting on-off...
Because of the complex properties of high-dimensional nonlinear systems, e.g, neural networks and ca...
We investigate numerically the statistical properties of the Kuramoto-Sivashinsky-Tsuzuki model [1-3...
In intermittent dynamical systems, the distributions of local Lyapunov exponents are markedly non-Ga...
We study the probability densities of finite-time or local Lyapunov exponents in low-dimensional cha...
The probability densities of the mean recurrence time, which is the average time needed for a system...
Establishing a new concept of local Lyapunov exponents the author brings together two separate theor...
We observe that high-stretch tails of finite-time Lyapunov exponent distributions associated with in...
Cyclicality and instability inherent in the economy can manifest themselves in irregular fluctuation...
We study the dynamics of systems with different timescales, when access only to the slow variables i...
A chaotic transition phenomenon in a five-star–coupled map system resulting from recombination of sy...
The sensitivity of trajectories over finite-time intervals t to perturbations of the initial conditi...
In this article, we consider chaotic behavior happened in nonsmooth dynamical systems. To quantify s...
The sensitivity of trajectories over finite-time intervals t to perturbations of the initial conditi...
International audienceIn this paper we characterized intermittent transitions from temporal ă chaos ...
4 pages, 3 figuresInternational audienceWe propose a simple phenomenological model exhibiting on-off...
Because of the complex properties of high-dimensional nonlinear systems, e.g, neural networks and ca...
We investigate numerically the statistical properties of the Kuramoto-Sivashinsky-Tsuzuki model [1-3...
In intermittent dynamical systems, the distributions of local Lyapunov exponents are markedly non-Ga...
We study the probability densities of finite-time or local Lyapunov exponents in low-dimensional cha...
The probability densities of the mean recurrence time, which is the average time needed for a system...
Establishing a new concept of local Lyapunov exponents the author brings together two separate theor...
We observe that high-stretch tails of finite-time Lyapunov exponent distributions associated with in...
Cyclicality and instability inherent in the economy can manifest themselves in irregular fluctuation...
We study the dynamics of systems with different timescales, when access only to the slow variables i...
A chaotic transition phenomenon in a five-star–coupled map system resulting from recombination of sy...
The sensitivity of trajectories over finite-time intervals t to perturbations of the initial conditi...
In this article, we consider chaotic behavior happened in nonsmooth dynamical systems. To quantify s...
The sensitivity of trajectories over finite-time intervals t to perturbations of the initial conditi...
International audienceIn this paper we characterized intermittent transitions from temporal ă chaos ...
4 pages, 3 figuresInternational audienceWe propose a simple phenomenological model exhibiting on-off...
Because of the complex properties of high-dimensional nonlinear systems, e.g, neural networks and ca...
We investigate numerically the statistical properties of the Kuramoto-Sivashinsky-Tsuzuki model [1-3...