10 citations · 14 across the 2 of their papers we have counts for
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Universality of algebraic laws in Hamiltonian systems
Roberto Venegeroles
Hamiltonian mixed systems with unbounded phase space are typically characterized by two asymptotic algebraic laws: decay of recurrence time statistics () and superdiffusion (…
Calculation of Superdiffusion for the Chirikov-Taylor Model
Roberto Venegeroles
It is widely known that the paradigmatic Chirikov-Taylor model presents enhanced diffusion for specific intervals of its stochasticity parameter due to islands of stability, which…
Non-Gaussian features of chaotic Hamiltonian transport
Roberto Venegeroles, Alberto Saa
Some non-Gaussian aspects of chaotic transport are investigated for a general class of two-dimensional area-preserving maps. Kurtosis, in particular, is calculated from the diffusi…
Leading Pollicott-Ruelle Resonances for Chaotic Area-Preserving Maps
Roberto Venegeroles
Recent investigations in nonlinear sciences show that not only hyperbolic but also mixed dynamical systems may exhibit exponential relaxation in the chaotic regime. The relaxation…
Leading Pollicott-Ruelle Resonances and Transport in Area-Preserving Maps
Roberto Venegeroles
The leading Pollicott-Ruelle resonance is calculated analytically for a general class of two-dimensional area-preserving maps. Its wave number dependence determines the normal tran…