Algebraic Approach to the Calculation of Lyapunov Exponents

Authors: İnanç BİROL, Avadis HACINLIYAN

Abstract: The concept of Lyapunov exponents is presented. The possibility of formulating methods for algebraically determining the signs and magnitudes of Lyapunov exponents is investigated. Special considerations have been given for the determination of zero Lyapunov exponents. Proposed methods are applied to a number of Hamiltonian and non-Hamiltonian systems.

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