TY  - BOOK
A1  - Feudel, Ulrike
A1  - Kurths, Jürgen
A1  - Neiman, Alexander
T1  - The cumulant approach for investigating the noise influence on mode-locking bifurcations
T3  - Preprint NLD
Y1  - 1995
VL  - 16
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Witt, Annette
A1  - Neiman, Alexander
A1  - Kurths, Jürgen
T1  - Characterizing the dynamics of stochastic bistable systems by measures of complexity
T3  - Preprint NLD
Y1  - 1997
SN  - 1432-2935
VL  - 36
PB  - Univ. Potsdam
CY  - Potsdam
ER  - 
TY  - JOUR
A1  - Witt, Annette
A1  - Neiman, Alexander
A1  - Kurths, Jürgen
T1  - Charakterizing the dynamics of stochastic bistable systems by measures of complexity
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Neiman, Alexander
A1  - Saparin, Peter
A1  - Stone, L.
T1  - Coherence resonance at noisy precursors of bifurcation in nonlinear dynamical systems
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Witt, Annette
A1  - Spano, M.
A1  - Neiman, Alexander
A1  - Moss, F.
A1  - Dolan, K.
T1  - Surrogates for finding unstable periodic orbits in noisy data sets
Y1  - 1999
ER  - 
TY  - INPR
A1  - Witt, Annette
A1  - Neiman, Alexander
A1  - Kurths, Jürgen
T1  - Characterizing the dynamics of stochastic bistable systems by measures of complexity
N2  - The dynamics of noisy bistable systems is analyzed by means of Lyapunov exponents and measures of complexity. We consider both the classical Kramers problem with additive white noise and the case when the barrier fluctuates due to additional external colored noise. In case of additive noise we calculate the Lyapunov exponents and all measures of complexity analytically as functions of the noise intensity resp. the mean escape time. For the problem of fluctuating barrier the usual description of the dynamics with the mean escape time is not sufficient. The application of the concept of measures of complexity allows to describe the structures of motion in more detail. Most complexity measures sign the value of correlation time at which the phenomenon of resonant activation occurs with an extremum.
T3  - NLD Preprints - 36 
Y1  - 1997
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-14556
ER  -