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Symplectic Calculation of Lyapunov Exponents
1995
Physical Review Letters
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The Lyapunov exponents of a chaotic system quantify the exponential divergence of initially nearby trajectories. For Hamiltonian systems the exponents are related to the eigenvalues of a symplectic matrix. We make use of this fact to develop a new method for the calculation of Lyapunov exponents of such systems. Our approach avoids the renormalization and reorthogonalization of usual techniques. It is also easily extendible to damped systems. We apply our method to two examples of physical
doi:10.1103/physrevlett.74.70
pmid:10057701
fatcat:44fnnjw3wfhzdaeho3r2kbrweu