TY - JOUR
T1 - Anomalous sensitivity to initial conditions and entropy production in standard maps
T2 - Nonextensive approach
AU - Janampa Añaños, Garin Fedor
AU - Baldovin, F.
AU - Tsallis, C.
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2005/8
Y1 - 2005/8
N2 - We perform a throughout numerical study of the average sensitivity to initial conditions and entropy production for two symplectically coupled standard maps focusing on the control-parameter region close to regularity. Although the system is ultimately strongly chaotic (positive Lyapunov exponents), it first stays lengthily in weak-chaotic regions (zero Lyapunov exponents). We argue that the nonextensive generalization of the classical formalism is an adequate tool in order to get nontrivial information about the first stage of this crossover phenomenon. Within this context we analyze the relation between the power-law sensitivity to initial conditions and the entropy production.
AB - We perform a throughout numerical study of the average sensitivity to initial conditions and entropy production for two symplectically coupled standard maps focusing on the control-parameter region close to regularity. Although the system is ultimately strongly chaotic (positive Lyapunov exponents), it first stays lengthily in weak-chaotic regions (zero Lyapunov exponents). We argue that the nonextensive generalization of the classical formalism is an adequate tool in order to get nontrivial information about the first stage of this crossover phenomenon. Within this context we analyze the relation between the power-law sensitivity to initial conditions and the entropy production.
UR - http://www.scopus.com/inward/record.url?scp=24044531571&partnerID=8YFLogxK
U2 - 10.1140/epjb/e2005-00269-1
DO - 10.1140/epjb/e2005-00269-1
M3 - Artículo
AN - SCOPUS:24044531571
VL - 46
SP - 409
EP - 417
JO - European Physical Journal B
JF - European Physical Journal B
SN - 1434-6028
IS - 3
ER -