Wavelet statistical complexity analysis of the classical limit

Weintroduce the notion of wavelet statistical complexity (WSC) and investigate the classical limit of the non-linear dynamics of two interacting harmonic oscillators. It is shown that a rather special relationship between entropy and chaos ensues that, using the WSC tool, sheds some light on the int...

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Publicado: 2003
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03759601_v311_n2-3_p180_Kowalski
http://hdl.handle.net/20.500.12110/paper_03759601_v311_n2-3_p180_Kowalski
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Sumario:Weintroduce the notion of wavelet statistical complexity (WSC) and investigate the classical limit of the non-linear dynamics of two interacting harmonic oscillators. It is shown that a rather special relationship between entropy and chaos ensues that, using the WSC tool, sheds some light on the intricacies of the classical-quantum transition. The associated transition region is seen to consists of two sub-zones, each with quite different properties. In one of them, a solid-gas like (smooth) transition seems to take place. © 2003 Elsevier Science B.V. All rights reserved.