This article develops a geometric method, referred to as natural tangent dynamics with periodic biorthogonalizations (NTDPB) for obtaining both the invariant geometric (Lyapunov-Oseledec filtrations) and the statistical properties (Lyapunov spectra) of chaotic dynamical systems, in a way suitable to be generalized for low-dimensional reduction of higher-dimensional dynamical systems. (c) 2005 Elsevier B.V. All rights reserved.
Biorthogonalization, geometric invariant properties and rate-based estimate of Lyapunov spectra / Adrover, Alessandra; Creta, Francesco; Giona, Massimiliano; Valorani, Mauro. - In: PHYSICS LETTERS A. - ISSN 0375-9601. - STAMPA. - 342:5-6(2005), pp. 421-429. [10.1016/j.physleta.2005.05.054]
Biorthogonalization, geometric invariant properties and rate-based estimate of Lyapunov spectra
ADROVER, Alessandra;CRETA, Francesco;GIONA, Massimiliano;VALORANI, Mauro
2005
Abstract
This article develops a geometric method, referred to as natural tangent dynamics with periodic biorthogonalizations (NTDPB) for obtaining both the invariant geometric (Lyapunov-Oseledec filtrations) and the statistical properties (Lyapunov spectra) of chaotic dynamical systems, in a way suitable to be generalized for low-dimensional reduction of higher-dimensional dynamical systems. (c) 2005 Elsevier B.V. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
