Riemannian theory of Hamiltonian chaos and Lyapunov exponents
Riemannian theory of Hamiltonian chaos and Lyapunov exponents
A nonvanishing Lyapunov exponent ${\ensuremath{\lambda}}_{1}$ provides the very definition of deterministic chaos in the solutions of a dynamical system; however, no theoretical mean of predicting its value exists. This paper copes with the problem of analytically computing the largest Lyapunov exponent ${\ensuremath{\lambda}}_{1}$ for many degrees of freedom Hamiltonian systems as …