FIZIKA A 16 (2007) 4 , 223-232

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POWER-LAW GENERALIZATIONS FOR STUDYING DYNAMICAL SYSTEMS

ALEJANDRO M. MESÓNa,b, SILVIA E. FASANOLa,c and MIRTA N. SALERNOb,c
a
Instituto de Física de Líquidos y Sistemas Biológicos (IFLYSIB)-UNLP-CONICET cc. 565 - (1900) La Plata, Argentina,
E-mail address: meson@iflysib.unlp.edu.ar
bGrupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de Ingenieria (GAMEFI), Departamento de Fisicomatemática, Facultad de Ingeniería, Universidad Nacional de La Plata, Argentina
cDepartamento de Matemática, Facultad de Ciencias Exactas Universidad Nacional de La Plata, Argentina

Received 12 January 2006;    Revised manuscript received 22 October 2007
Accepted 5 December 2007    Online 15 February 2008

We present a more general description of the technique of Tsallis and co-workers, to study the behaviour of dynamical systems. We enlarge to any dimension the power-law generalization of the classical Lyapunov exponents, that was introduced by Tsallis and co-workers in one dimension. We apply the new generalization to the two-dimensional Hénon map and consider some cases.

PACS numbers: 05.45.-a, 05.45.Jn
UDC 530.182

Keywords: dynamical systems, Tsallis technique, Lyapunov exponents, two-dimensional Hénon map

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