Computation of Lyapunov exponents in general relativity
نویسندگان
چکیده
منابع مشابه
Computation of Lyapunov Exponents in General Relativity
Lyapunov exponents (LEs) are key indicators of chaos in dynamical systems. In general relativity the classical definition of LE meets difficulty because it is not coordinate invariant and spacetime coordinates lose their physical meaning as in Newtonian dynamics. We propose a new definition of relativistic LE and give its algorithm in any coordinate system, which represents the observed changin...
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In this paper, we consider discrete and continuous QR algorithms for computing all of the Lyapunov exponents of a regular dynamical system. We begin by reviewing theoretical results for regular systems and present general perturbation results for Lyapunov exponents. We then present the algorithms, give an error analysis of them, and describe their implementation. Finally, we give several numeri...
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 2003
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(03)00720-5