Methods for algebraically determining the signs and the magnitudes of Lyapunov exponents of a given dynamical system are studied. The existence of zero Lyapunov exponents for the Toda, Hénon–Heiles, and Rössler systems are shown. The approximate Lyapunov spectra of Lorenz and Rössler systems are computed.
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Research Article| September 01 1997
Signs and approximate magnitudes of Lyapunov exponents in continuous time dynamical systems
İnanç Birol, Avadis Hacinliyan; Signs and approximate magnitudes of Lyapunov exponents in continuous time dynamical systems. J. Math. Phys. 1 September 1997; 38 (9): 4594–4605. https://doi.org/10.1063/1.532109
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