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arXiv · 1107.4032

Symmetry properties of orthogonal and covariant Lyapunov vectors and their exponents

Harald A. Posch
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Abstract

Lyapunov exponents are indicators for the chaotic properties of a classical dynamical system. They are most naturally defined in terms of the time evolution of a set of so-called covariant vectors, co-moving with the linearized flow in tangent space. Taking a simple spring pendulum and the H\'enon-Heiles system as examples, we demonstrate the consequences of symplectic symmetry and of time-reversal invariance for such vectors, and study the transformation between different parameterizations of the flow.

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Harald A. Posch. 2011-07-20. Symmetry properties of orthogonal and covariant Lyapunov vectors and their exponents. https://arxiv.org/abs/1107.4032

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