%0 Journal Article %T Weak chaos from Tsallis entropy %A Nikos Kalogeropoulos %J QScience Connect %D 2012 %I Bloomsbury Qatar Foundation Journals %R 10.5339/connect.2012.12 %X We present a geometric, model-independent, argument that aims to explain why the Tsallis entropy describes systems exhibiting ˇ°weak chaosˇ±, namely systems whose underlying dynamics has vanishing largest Lyapunov exponent. Our argument relies on properties of a deformation map of the reals induced by the Tsallis entropy, and its conclusion agrees with all currently known results %U http://www.qscience.com/doi/pdf/10.5339/connect.2012.12