Add to ORKGIn this paper, we describe in detail a method of computing Lyapunov exponents for a continuous-time dynamical system and extend the method to discrete maps. Using this method, a partial Lyapunov spectrum can be computed using fewer equations as compared to the computation of the full spectrum, there is no difficulty in evaluating degenerate Lyapunov spectra, the equations are straightforward to generalize to higher dimensions, and the minimal set of dynamical variables is used. Explicit proofs and other details not given in previous work are included here. [S1063-651X(99)07212-8]
International audienceMany techniques have been developed for the measure of the largest Lyapunov ex...
Since several years Lyapunov Characteristic Exponents are of interest in the study of dynamical syst...
Lyapunov exponents lie at the heart of chaos theory, and are widely used in studies of complex dynam...
In this paper, we describe in detail a method of computing Lyapunov exponents for a continuous-time ...
Lyaponov exponents are a generalization of the eigenvalues of a dynamical system at an equilibrium p...
. In this paper, an error analysis of QR based methods for computing the first few Lyapunov exponen...
A simple discrete QR algorithm based on a solution expression of the variational equation of a dynam...
Throughout the decades following the postulation of cellular automata (CA) halfway the previous cent...
The present paper, together with the previous one (Part 1: Theory, published in this journal) is int...
We present a straightforward and reliable continuous method for computing the full or partial Lyapun...
Abstract. We generalize the concept of Lyapunov exponent to trans-formations that are not necessaril...
The Lyapunov exponents serve as numerical characteristics of dynamical systems, which measure possib...
Many techniques have been developed for the measure of the largest Lyapunov exponent of experimental...
For want of a nail the shoe was lost. For want of a shoe the horse was lost. For want of a horse the...
This is the published version, also available here: http://dx.doi.org/10.1137/S0036142993247311.In t...
International audienceMany techniques have been developed for the measure of the largest Lyapunov ex...
Since several years Lyapunov Characteristic Exponents are of interest in the study of dynamical syst...
Lyapunov exponents lie at the heart of chaos theory, and are widely used in studies of complex dynam...
In this paper, we describe in detail a method of computing Lyapunov exponents for a continuous-time ...
Lyaponov exponents are a generalization of the eigenvalues of a dynamical system at an equilibrium p...
. In this paper, an error analysis of QR based methods for computing the first few Lyapunov exponen...
A simple discrete QR algorithm based on a solution expression of the variational equation of a dynam...
Throughout the decades following the postulation of cellular automata (CA) halfway the previous cent...
The present paper, together with the previous one (Part 1: Theory, published in this journal) is int...
We present a straightforward and reliable continuous method for computing the full or partial Lyapun...
Abstract. We generalize the concept of Lyapunov exponent to trans-formations that are not necessaril...
The Lyapunov exponents serve as numerical characteristics of dynamical systems, which measure possib...
Many techniques have been developed for the measure of the largest Lyapunov exponent of experimental...
For want of a nail the shoe was lost. For want of a shoe the horse was lost. For want of a horse the...
This is the published version, also available here: http://dx.doi.org/10.1137/S0036142993247311.In t...
International audienceMany techniques have been developed for the measure of the largest Lyapunov ex...
Since several years Lyapunov Characteristic Exponents are of interest in the study of dynamical syst...
Lyapunov exponents lie at the heart of chaos theory, and are widely used in studies of complex dynam...