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FIZIKA A 16 (2007) 4 , 223-232
 
POWER-LAW GENERALIZATIONS FOR STUDYING DYNAMICAL SYSTEMS
ALEJANDRO M. MESÓNa,b, SILVIA E. FASANOLa,c
and MIRTA N. SALERNOb,c
aInstituto 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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