TY  - JOUR
A1  - Zaks, Michael A.
A1  - Tomov, Petar
T1  - Onset of time dependence in ensembles of excitable elements with global repulsive coupling
JF  - Physical review : E, Statistical, nonlinear and soft matter physics
N2  - We consider the effect of global repulsive coupling on an ensemble of identical excitable elements. An increase of the coupling strength destabilizes the synchronous equilibrium and replaces it with many attracting oscillatory states, created in the transcritical heteroclinic bifurcation. The period of oscillations is inversely proportional to the distance from the critical parameter value. If the elements interact with the global field via the first Fourier harmonics of their phases, the stable equilibrium is in one step replaced by the attracting continuum of periodic motions.
Y1  - 2016
U6  - https://doi.org/10.1103/PhysRevE.93.020201
SN  - 2470-0045
SN  - 2470-0053
VL  - 93
PB  - American Physical Society
CY  - College Park
ER  - 
TY  - JOUR
A1  - Tomov, Peter
A1  - Pena, Rodrigo F. O.
A1  - Roque, Antonio C.
A1  - Zaks, Michael A.
T1  - Mechanisms of Self-Sustained Oscillatory States in Hierarchical Modular Networks with Mixtures of Electrophysiological Cell Types
JF  - Frontiers in computational neuroscience / Frontiers Research Foundation
N2  - In a network with a mixture of different electrophysiological types of neurons linked by excitatory and inhibitory connections, temporal evolution leads through repeated epochs of intensive global activity separated by intervals with low activity level. This behavior mimics "up" and "down" states, experimentally observed in cortical tissues in absence of external stimuli. We interpret global dynamical features in terms of individual dynamics of the neurons. In particular, we observe that the crucial role both in interruption and in resumption of global activity is played by distributions of the membrane recovery variable within the network. We also demonstrate that the behavior of neurons is more influenced by their presynaptic environment in the network than by their formal types, assigned in accordance with their response to constant current.
KW  - self-sustained activity
KW  - cortical oscillations
KW  - irregular firing activity
KW  - hierarchical modular networks
KW  - cortical network models
KW  - intrinsic neuronal diversity
KW  - up-down states
KW  - chaotic neural dynamics
Y1  - 2016
U6  - https://doi.org/10.3389/fncom.2016.00023
SN  - 1662-5188
VL  - 10
SP  - 476
EP  - +
PB  - Frontiers Research Foundation
CY  - Lausanne
ER  - 
TY  - JOUR
A1  - Zaks, Michael A.
A1  - Park, Eun Hyoung
A1  - Kurths, Jürgen
T1  - On phase synchronization by periodic force in chaotic oscillators with saddle equilibria
Y1  - 2000
ER  - 
TY  - JOUR
A1  - Park, Eun Hyoung
A1  - Zaks, Michael A.
A1  - Kurths, Jürgen
T1  - Phase synchronization in the forced lorenz system
Y1  - 1999
ER  - 
TY  - JOUR
A1  - Park, Eun Hyoung
A1  - Rosenblum, Michael
A1  - Kurths, Jürgen
A1  - Zaks, Michael A.
T1  - Alternating locking ratios in imperfect phase synchronization
Y1  - 1999
ER  - 
TY  - JOUR
A1  - Zaks, Michael A.
A1  - Pikovskij, Arkadij
T1  - Synchrony breakdown and noise-induced oscillation death in ensembles of serially connected spin-torque oscillators
JF  - The European physical journal : B, Condensed matter and complex systems
N2  - We consider collective dynamics in the ensemble of serially connected spin-torque oscillators governed by the Landau-Lifshitz-Gilbert-Slonczewski magnetization equation. Proximity to homoclinicity hampers synchronization of spin-torque oscillators: when the synchronous ensemble experiences the homoclinic bifurcation, the growth rate per oscillation of small deviations from the ensemble mean diverges. Depending on the configuration of the contour, sufficiently strong common noise, exemplified by stochastic oscillations of the current through the circuit, may suppress precession of the magnetic field for all oscillators. We derive the explicit expression for the threshold amplitude of noise, enabling this suppression.
KW  - Statistical and Nonlinear Physics
Y1  - 2019
U6  - https://doi.org/10.1140/epjb/e2019-100152-2
SN  - 1434-6028
SN  - 1434-6036
VL  - 92
IS  - 7
PB  - Springer
CY  - New York
ER  - 
TY  - JOUR
A1  - Pikovskij, Arkadij
A1  - Rosenblum, Michael
A1  - Zaks, Michael A.
A1  - Kurths, Jürgen
T1  - Phase synchronization of regular and chaotic oscillators
Y1  - 1999
ER  - 
TY  - JOUR
A1  - Zaks, Michael A.
A1  - Pikovskij, Arkadij
A1  - Kurths, Jürgen
T1  - On the generalized dimensions for the fourier spectrum of the thue-morse sequence
Y1  - 1999
ER  - 
TY  - JOUR
A1  - Zaks, Michael A.
A1  - Pikovskij, Arkadij
A1  - Kurths, Jürgen
T1  - Symbolic dynamics behind the singular continuous power spectra of continuous flows
Y1  - 1998
ER  - 
TY  - JOUR
A1  - Zaks, Michael A.
A1  - Pikovskij, Arkadij
A1  - Kurths, Jürgen
T1  - On the correlation dimension of the spectral measure for the Thue-Morse sequence
Y1  - 1997
ER  -