Publisher's Note: Stationary and dynamical properties of information entropies in nonextensive systems [Phys. Rev. E77, 031133 (2008)]

We have discussed dynamical properties of the Tsallis entropy and the generalized Fisher information in nonextensive systems described by the Langevin model subjected to additive and multiplicative noise. Analytical expressions for the timedependent Tsallis entropy and generalized Fisher information have been obtained with the use of the q-moment approach to the Fokker-Planck equation developed in a previous study [H. Hasegawa, Phys. Rev. E 77, 031133 (2008)]. Model calculations of the information entropies in response to an applied pulse and sinusoidal inputs have been presented.

[1]  Flavia Pennini,et al.  Rènyi entropies and Fisher informations as measures of nonextensivity in a Tsallis setting , 1998 .

[2]  M. Masi.  Generalized information-entropy measures and Fisher information , 2006, cond-mat/0611300.

[3]  B. Frieden,et al.  Physics from Fisher Information: A Unification , 1998 .

[4]  A. R. Plastino,et al.  A nonextensive maximum entropy approach to a family of nonlinear reaction–diffusion equations , 2000 .

[5]  L. Cao,et al.  Approximate Fokker–Planck equation of system driven by multiplicative colored noises with colored cross-correlation , 2004 .

[6]  Estimators, escort probabilities, and phi-exponential families in statistical physics , 2004, math-ph/0402005.

[7]  A. Plastino,et al.  Information measures based on Tsallis’ entropy and geometric considerations for thermodynamic systems , 2005, cond-mat/0510434.

[8]  Sumiyoshi Abe.  Geometry of escort distributions. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  A. Plastino,et al.  Tsallis nonextensive thermostatistics and Fisher's information measure , 1997 .

[10]  H. Konno,et al.  Maximum likelihood estimators for generalized Cauchy processes , 2007 .

[11]  Yanfei Jin,et al.  Stochastic resonance in an asymmetric bistable system driven by correlated multiplicative and additive noise , 2005 .

[12]  F. Pennini,et al.  Power-law distributions and Fisher's information measure , 2004 .

[13]  Tsallis,et al.  Anomalous diffusion in the presence of external forces: Exact time-dependent solutions and their thermostatistical basis. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[14]  Claudio J. Tessone,et al.  STOCHASTIC RESONANCE IN BISTABLE SYSTEMS: THE EFFECT OF SIMULTANEOUS ADDITIVE AND MULTIPLICATIVE CORRELATED NOISES , 1998 .

[15]  Hideo Hasegawa,et al.  Synchrony and variability induced by spatially correlated additive and multiplicative noise in the coupled Langevin model. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  H. Hasegawa.  Effects of correlated variability on information entropies in nonextensive systems. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  A. Plastino,et al.  The nonlinear Fokker-Planck equation with state-dependent diffusion - a nonextensive maximum entropy approach , 1999 .

[18]  F. Pennini,et al.  Geometrical aspects of a generalized statistical mechanics , 2007 .

[19]  A. R. Plastino,et al.  Non-extensive statistical mechanics and generalized Fokker-Planck equation , 1995 .

[20]  C. Tsallis,et al.  The role of constraints within generalized nonextensive statistics , 1998 .