The interconnection of synchronization threshold with effective diffusion coefficient of instantaneous phase of chaotic self-sustained oscillations
Russian journal of nonlinear dynamics, Tome 4 (2008) no. 2, pp. 169-180
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We investigate effective diffusion coefficient of instantaneous phase of chaotic self-sustained oscillations and its connection with synchronization threshold. It is showed that effective phase diffusion coefficient in contrast to maximal Lyapunov exponent allows to distinguish the regions of spiral and funnel attractor. We ascertain that synchronization threshold of chaos is in order-of-magnitude agreement with the value of diffusion coefficient divided by the mean frequency of self-sustained oscillations.
Keywords:
chaotic self-sustained oscillations, synchronization threshold, effective diffusion coefficient of instantaneous phase.
@article{ND_2008_4_2_a4,
author = {A. S. Zakharova and T. E. Vadivasova and V. S. Anishchenko},
title = {The interconnection of synchronization threshold with effective diffusion coefficient of instantaneous phase of chaotic self-sustained oscillations},
journal = {Russian journal of nonlinear dynamics},
pages = {169--180},
year = {2008},
volume = {4},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ND_2008_4_2_a4/}
}
TY - JOUR AU - A. S. Zakharova AU - T. E. Vadivasova AU - V. S. Anishchenko TI - The interconnection of synchronization threshold with effective diffusion coefficient of instantaneous phase of chaotic self-sustained oscillations JO - Russian journal of nonlinear dynamics PY - 2008 SP - 169 EP - 180 VL - 4 IS - 2 UR - http://geodesic.mathdoc.fr/item/ND_2008_4_2_a4/ LA - ru ID - ND_2008_4_2_a4 ER -
%0 Journal Article %A A. S. Zakharova %A T. E. Vadivasova %A V. S. Anishchenko %T The interconnection of synchronization threshold with effective diffusion coefficient of instantaneous phase of chaotic self-sustained oscillations %J Russian journal of nonlinear dynamics %D 2008 %P 169-180 %V 4 %N 2 %U http://geodesic.mathdoc.fr/item/ND_2008_4_2_a4/ %G ru %F ND_2008_4_2_a4
A. S. Zakharova; T. E. Vadivasova; V. S. Anishchenko. The interconnection of synchronization threshold with effective diffusion coefficient of instantaneous phase of chaotic self-sustained oscillations. Russian journal of nonlinear dynamics, Tome 4 (2008) no. 2, pp. 169-180. http://geodesic.mathdoc.fr/item/ND_2008_4_2_a4/