373 citations · 403 across the 4 of their papers we have counts for
7 papers
Mother wavelet functions generalized through q-exponentials
Ernesto P. Borges, Constantino Tsallis, Jose G. V. Miranda +1
We generalize some widely used mother wavelets by means of the q-exponential function (, ) that emerges from nonex…
Two-dimensional dissipative maps at chaos threshold: Sensitivity to initial conditions and relaxation dynamics
Ernesto P. Borges, Ugur Tirnakli
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 v…
A possible deformed algebra and calculus inspired in nonextensive thermostatistics
Ernesto P. Borges
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 co…
Mixing and relaxation dynamics of the Henon map at the edge of chaos
Ernesto P. Borges, Ugur Tirnakli
The mixing properties (or sensitivity to initial conditions) and relaxation dynamics of the Henon map, together with the connection between these concepts, have been explored numer…
Nonequilibrium Probabilistic Dynamics of the Logistic Map at the Edge of Chaos
Ernesto P. Borges, Constantino Tsallis, Garin F. J. Ananos +1
We consider nonequilibrium probabilistic dynamics in logistic-like maps , at their chaos threshold: We first introduce many initial conditions within on…
Fluxes of cosmic rays: A delicately balanced stationary state
Constantino Tsallis, Joao C. Anjos, Ernesto P. Borges
The analysis of cosmic rays fluxes as a function of energy reveals a {\it knee} slightly below eV and an {\it ankle} close to eV. Their physical origins remain…