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Low-dimensional non-linear dynamical systems and generalized entropy

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dc.creator Silva Crisógono R. da
dc.creator Cruz Heber R. da
dc.creator Lyra Marcelo L.
dc.date 1999
dc.date.accessioned 2013-05-29T22:51:49Z
dc.date.available 2013-05-29T22:51:49Z
dc.date.issued 2013-05-30
dc.identifier http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331999000100013
dc.identifier http://www.doaj.org/doaj?func=openurl&genre=article&issn=01039733&date=1999&volume=29&issue=1&spage=144
dc.identifier.uri http://koha.mediu.edu.my:8181/jspui/handle/123456789/2537
dc.description Low dimensional non-linear maps are prototype models to study the emergence of complex behavior in nature. They may exhibit power-law sensitivity to initial conditions at the edge of chaos which can be naturally formulated within the generalized Tsallis statistics prescription which is characterized by the entropic index q. General scaling arguments provide a direct relation between the entropic index q and the scaling exponents associated with the extremal sets of the multifractal critical attractor. The above result comes in favor of recent conjectures that Tsallis statistics is the natural frame for studying systems with fractal-like structure in the phase-space. Power law sensitivity in high-dimensional dissipative and Hamiltonian systems are also discussed within the present picture.
dc.publisher Sociedade Brasileira de Física
dc.source Brazilian Journal of Physics
dc.title Low-dimensional non-linear dynamical systems and generalized entropy


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