Lyapunov exponents without Rescaling and Reorthogonalization

Rangarajan, Govindan ; Habib, Salman ; Ryne, Robert D. (1998) Lyapunov exponents without Rescaling and Reorthogonalization Physical Review Letters, 80 (17). pp. 3747-3750. ISSN 0031-9007

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Official URL: http://prl.aps.org/abstract/PRL/v80/i17/p3747_1

Related URL: http://dx.doi.org/10.1103/PhysRevLett.80.3747

Abstract

We present a new method for the computation of Lyapunov exponents utilizing representations of orthogonal matrices applied to decompositions of M or MM~ where M is the tangent map. This method uses a minimal set of variables, does not require renormalization or reorthogonalization, can be used to efficiently compute partial Lyapunov spectra, and does not break down when the Lyapunov spectrum is degenerate.

Item Type:Article
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ID Code:73198
Deposited On:02 Dec 2011 09:45
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