Generalized Lyapunov Exponents of Homogeneous Systems

We propose a novel methodology for forecasting chaotic systems which is based on exploiting the information conveyed by the local Lyapunov ex- ponent of a system.. We show how

It is defined as the dd c of the Lyapunov exponent of the representation with respect to the Brownian motion on the Riemann surface S, endowed with its Poincar´e metric.. We show

Alternatively, one may follow [114] (and many related arguments including those in [35, 100, 102]) any apply dynamical arguments to show that the den- sity function in Claim 5.3

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Nevertheless we provide a complete proof of the theorem for at least two reasons: first our algebraic setting allows us to provide a relatively short and self-contained proof, and

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

In this section an explicit formula for locally Lipschitz continuous and homogeneous Lyapunov function is propo- sed completing the results of [12], [13], where only the existence

We find that in high energetic regions like boundary currents, large relative separa- tions are achieved in short times (few days) and Lyapunov vector mostly align with the direction