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Characterizing Dynamics with Covariant Lyapunov Vectors

Characterizing Dynamics with Covariant Lyapunov Vectors

A general method to determine covariant Lyapunov vectors in both discrete- and continuous-time dynamical systems is introduced. This allows us to address fundamental questions such as the degree of hyperbolicity, which can be quantified in terms of the transversality of these intrinsic vectors. For spatially extended systems, the covariant Lyapunov …