Ernesto P. Borges

most citedMother wavelet functions generalized through q-exponentials

14 citations · 24 across the 2 of their papers we have counts for

collaborators

2 papers

cond-mat.stat-mech2004★ 14 cited

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 $e_{q}^{x} \equiv [1 + (1 - q) x]^{1/ (1 - q)}$ ( $q \in R$ , $e_{1}^{x} = e^{x}$ ) that emerges from nonex…

cond-mat.stat-mech2003★ 10 cited

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…