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Info-quantifiers’ map-characterization revisited

Authors:	Osvaldo A. Rosso Luciana De Micco A. Plastino Hilda A. Larrondo

Affiliation:	^a Departamento de Física, Instituto de Ciências Exatas, Universidade Federal de Minas Gerais, Av. Antônio Carlos, 6627 - Campus Pampulha, 31270-901 Belo Horizonte - MG, Brazil ^b Chaos & Biology Group, Instituto de Cálculo, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellón II, Ciudad Universitaria, 1428 Ciudad de Buenos Aires, Argentina ^c Facultad de Ingeniería, Universidad Nacional de Mar del Plata, Av. J.B. Justo 4302, 7600 Mar del Plata, Argentina ^d Instituto de Física, Facultad de Ciencias Exactas, Universidad Nacional de La Plata (UNLP), C.C. 727, 1900 La Plata, Argentina ^e CONICET, Argentina

Abstract:	We highlight the potentiality of a special Information Theory (IT) approach in order to unravel the intricacies of nonlinear dynamics, the methodology being illustrated with reference to the logistic map. A rather surprising dynamic feature→plane-topography map becomes available.

Keywords:	Information Theory Shannon Entropy Fisher Information Measure Time series Probability distribution functions Nonlinear dynamical systems Logistic map
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