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physics.class-ph1998★ 10 cited
Hamiltonian structure of Hamiltonian chaos
X. Z. Tang, A. H. Boozer
From a kinematical point of view, the geometrical information of hamiltonian chaos is given by the (un)stable directions, while the dynamical information is given by the Lyapunov e…
physics.class-ph1998★ 3 cited
Anomalous scaling behavior in Takens-Bogdanov bifurcations
E. R. Tracy, X. Z. Tang
A general algorithm is presented for estimating the nonlinear instability threshold, , for subcritical transitions in systems where the linearized dynamics is significantly no…