In this paper we show some symmetry properties of Lyapunov exponents of a dynamical system when the linearized problem evolves on a quadratic group, (XHX)-H-T=H, with H orthogonal. It is well understood that in this case the exponents are symmetric with respect to the origin. Here, we give lower bounds on the number of Lyapunov exponents which are 0 and show that some Lyapunov exponents may have even multiplicity.
Lyapunov exponents of systems evolving on quadratic groups
LOPEZ, Luciano
2003-01-01
Abstract
In this paper we show some symmetry properties of Lyapunov exponents of a dynamical system when the linearized problem evolves on a quadratic group, (XHX)-H-T=H, with H orthogonal. It is well understood that in this case the exponents are symmetric with respect to the origin. Here, we give lower bounds on the number of Lyapunov exponents which are 0 and show that some Lyapunov exponents may have even multiplicity.File in questo prodotto:
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