Fingerprints of Chaos
Baran, Virgil · Bonasera, Aldo
Original · EN
The asymptotic distance between trajectories d∞, is studied in detail to characterize the occurrence of chaos. We show that this quantity is quite distinct and complementary to the Lyapunov exponents, and it allows for a quantitave estimate for the folding mechanism which keeps the motion bounded in phase space. We study the behaviour of d∞ in simple unidimensional maps. Near a critical point d∞ has a power law dependence on the control parameter. Furthermore, at variance with the Lyapunov exponents, it shows jumps when there are sudden changes on the available phase-space.
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