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Nonlinear wave equations related to nonextensive thermostatistics
(Molecular Diversity Preservation International, 2017-02)
We advance two nonlinear wave equations related to the nonextensive thermostatistical formalism based upon the power-law nonadditive Sq entropies. Our present contribution is in line with recent developments, where nonlinear ...
A possible deformed algebra and calculus inspired in nonextensive thermostatistics
(Elsevier, 2004)
We present a deformed algebra related to the q-exponential and the q-logarithm functions that emerge from nonextensive statistical mechanics. We also develop a q-derivative (and consistently a q-integral) for which the ...
Two-dimensional dissipative maps at chaos threshold:sensitivity to initial conditions and relaxation dynamics
(Elsevier, 2004)
The sensitivity to initial conditions and relaxation dynamics of two-dimensional maps are analyzed at the edge of chaos, along the lines of nonextensive statistical mechanics. We verify the dual nature of the entropic index ...
Mixing and relaxation dynamics of the Hénon map at the edge of chaos
(Elsevier, 2004)
The mixing properties (or sensitivity to initial conditions) and relaxation dynamics of the Hénon map, together with the connection between these concepts, have been explored numerically at the edge of chaos. It is found ...