PAPERS     

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M. A. Zaks, A. Pikovsky.
     Synchrony breakdown and noise-induced oscillation death in ensembles of serially connected spin-torque oscillators
     The European Physical Journal B  (2019) 92:160.



M. A. Zaks and A. Nepomnyashchy.
     Subdiffusive and superdiffusive transport in plane steady viscous flows
     PNAS (2019)   116 (37), pp. 18245-18250.



R. F. O. Pena, M. A. Zaks, A. C. Roque.
     Dynamics of spontaneous activity in random networks with multiple neuron subtypes and synaptic noise
     Journal of Computational Neuroscience  (2018) 45, pp. 1-28.



V. S. Afraimovich, M. A. Zaks and M. I. Rabinovich.
     Mind-to-mind heteroclinic coordination: Model of sequential episodic memory initiation
     Chaos   (2018)   28, 053107, pp. 1-15.



P. Pöschke, I. M. Sokolov, M. A. Zaks and A. A. Nepomnyashchy.
     Transport on intermediate time scales in flows with cat’s eye patterns
     Physical Review E (2017) 96, 062128, pp. 1-10.



M. A. Zaks, A. Nepomnyashchy.
     Anomalous transport in steady plane viscous flows: simple models
     Chapter V in: "Advances in Dynamics, Patterns, Cognition: Challenges in Complexity",
     Springer, 2017, pp.61-76.



M. Zaks, A. Pikovsky.
     Chimeras and complex cluster states in arrays of spin-torque oscillators
     Scientific Reports (2017) 7, 4648, pp.1-10.



F. Feudel, L. S. Tuckerman, M. Zaks, R. Hollerbach
     Hysteresis of dynamos in rotating spherical shell convection
     Physical Review Fluids (2017) 2, 053902, pp.1-11.



M. A. Zaks, A. Pikovsky.
     Frequency locking near the gluing bifurcation: Spin-torque oscillator under periodic modulation of current
     Physica D (2016) 335, pp.33-44.



P. Pöschke, I. M. Sokolov, A. A. Nepomnyashchy and M. A. Zaks.
     Anomalous transport in cellular flows: The role of initial conditions and aging
     Physical Review E (2016) 94, 032128, pp. 1-7.



P. Tomov, R. F. O. Pena, A. C. Roque and M. A. Zaks.
     Mechanisms of self-sustained oscillatory states in hierarchical modular networks with mixtures of electrophysiological cell types
     Frontiers Comput. Neuroscience (2016) 10, 0023, pp.1-17.



M. A. Zaks, P. Tomov.
     Onset of time dependence in ensembles of excitable elements with global repulsive coupling
     Physical Review E (2016) 93, 020201(R), pp. 1-5.



B. Medetov, R. G. Weiß, Z. Zh. Zhanabaev, M. A. Zaks.
     Numerically induced bursting in a set of coupled neuronal oscillators
     Commun. Nonlinear Sci. Numer. Simulat. (2015)   20, pp.1090-1098.



T. Xing, J. Wojcik, M. A. Zaks and A. Shilnikov.
     Fractal Parameter Space of Lorenz-like Attractors: A Hierarchical Approach.
     Chapt. 4 in "Chaos, Information Processing and Paradoxical Games",   World Scientific Publishing, 2015.



P. Tomov, R. F. O. Pena, M. A. Zaks and A. C. Roque.
     Sustained oscillations, irregular firing, and chaotic dynamics in hierarchical modular networks
   with mixtures of electrophysiological cell types

     Frontiers Comput. Neuroscience (2014)  8,  0103, pp.1-16.



P. Tomov and M. Zaks.
     Phase Dynamics on Small Hexagonal Lattices with Repulsive Coupling      
     Comm. Comp. Info. Sci. (2014)   438, pp.246-253.



G. Giacomelli, F. Marino, M.A. Zaks, S. Yanchuk.
     Nucleation in bistable dynamical systems with long delay
     Physical Review E   (2013)  88,  062920, pp.1-8.



F. Ionita, D. Labavić, M.A. Zaks, H. Meyer-Ortmanns.
     Order-by-disorder in classical oscillator systems
     The European Physical Journal B  (2013)  86,  511, pp.1-13.



B. Sonnenschein, M.A. Zaks, A.B. Neiman and L. Schimansky-Geier.
     Excitable elements controlled by noise and network structure
      The European Physical Journal Special Topics  (2013) 222,  pp. 2517-2529.



S. Akhtanov, Z.Zh. Zhanabaev, M.A. Zaks.
     Sequences of gluing bifurcations in an analog electronic circuit
     Physics Letters A   (2013)  377,   pp. 1621-1626.



G. Giacomelli, F. Marino, M.A. Zaks, S. Yanchuk.
     Coarsening in a bistable system with long-delayed feedback
     Europhysics Letters   (2012)  99,   pp. 58005.



A.I. Lavrova, M.A. Zaks, L. Schimansky-Geier.
      Modeling rhythmic patterns in the hippocampus
      Physical Review E   (2012)  85,   041922, pp.1-9.



M.A. Zaks.
      On chaotic subthreshold oscillations in a simple neuronal model
      Math. Model. Nat. Phenom. (2011)  6,  pp. 149-162.



M.A. Zaks, D.S. Goldobin.
      Comment on "Time-averaged properties of unstable periodic orbits and chaotic orbits in ordinary differential equation systems"
      Physical Review E   (2010) 81,  pp. 018201.



H. Leonhardt, M.A. Zaks, M. Falcke, L. Schimansky-Geier.
      Stochastic hierarchical systems: excitable dynamics
      Journ. Biol. Phys. (2008) 34, pp. 521-538.



T. Prager, M. Falcke, L. Schimansky-Geier, M.A. Zaks.
      Non-Markovian approach to globally coupled excitable systems
      Physical Review E (2007) 76,  pp. 011118, 1-13.



M.I. Shliomis, M.A. Zaks,
      Ferrofluidic torsional pendulum driven by oscillating magnetic field
      Physical Review E  (2006) 73,  pp. 066208, 1-8.



I.A. Khovanov, L. Schimansky-Geier, M.A. Zaks
      Spectral analysis of noisy oscillators near Hopf bifurcations
      Acta Physica Polonica B (2006) 37, pp. 1551-1560.


M. A. Zaks, A. Podolny, A. Nepomnyashchy, A. Golovin
      Periodic stationary patterns governed by a convective Cahn-Hilliard equation
      SIAM  J. Appl. Math. (2006) 66,  pp.700-720.


O. Ushakov, H-J. Wünsche, F. Henneberger, I.A. Khovanov, L. Schimansky-Geier, M.A. Zaks
      Coherence resonance near a Hopf bifurcation
       Physical Review Letters (2005) 95,  pp. 123903, 1-4.


M. A. Zaks, E.-H.Park
      Can the shape of attractor forbid chaotic phase synchronization?
      Physical Review E  (2005) 72,  pp.026215, 1-7.


X. Sailer, M.A. Zaks, L. Schimansky-Geier
      Collective dynamics in an ensemble of globally coupled FHN systems,
       Fluctuation & Noise Letters (2005)  5,  pp. L299-L304.


M.A. Zaks,  X. Sailer, L. Schimansky-Geier, A. Neiman
      Noise induced complexity: from subthreshold oscillations to spiking in coupled excitable systems
      CHAOS (2005)  15,  pp.026117, 1-13.

A.Podolny, M.A. Zaks, B.Y.Rubinstein, A.A.Golovin, A.A.Nepomnyashchy
      Dynamics of domain walls  governed by the convective Cahn-Hilliard equation
      Physica D (2005)  201,  pp.291-305.

M.A. Zaks,
      Anomalous transport in steady plane flows of viscous fluids
      In:  Chaotic Dynamics and Transport in Classical and Quantum Systems ,
      Editors: P.Collet, M.Courbage, S. Metens, A.Neishtadt, G.Zaslavsky.
      Kluwer Academic Publishers, 2004, pp.401-412.


M.I. Shliomis, M.A. Zaks,
      Nonlinear dynamics of a ferrofluid pendulum
      Physical Review Letters  (2004) 93,  pp.047202, 1-4.

M.A. Zaks, A.B. Neiman, S. Feistel, A. Schimansky-Geier,
      Noise-controlled oscillations and their bifurcations in coupled phase oscillators
      Physical Review E  (2003) 68,  pp.066206, 1-9.


M. Zaks, A. Pikovsky.
      Dynamics at the border of chaos and order
      Lect. Notes Phys.   (2003) 636,  pp.61-82.


M.A. Zaks, A.V. Straube.
      Fractal power spectrum in a steady Stokes flow past the lattice of cylinders
      Suppl. Progr.Theor. Phys. (2003) 150,  pp.473-476.


A. Pikovsky, M. Zaks.
      Dynamique à la frontiére entre l'ordre et le chaos
      In: L'héritage de Kolmogorov en physique,
      Editors: R.Livi & A.Vulpiani,  Éditions Belin, Paris, 2003, pp. 72-94.


F.H. Busse,  M.A. Zaks,  O. Brausch.
      Centrifugally driven thermal convection at high Prandtl numbers
      Physica D (2003)  184,  pp.3-20


D. Pazo,  M.A. Zaks,  J. Kurths.
      Role of unstable periodic orbits in phase and lag synchronization between coupled chaotic oscillators
      CHAOS (2003)  13,  pp.309-318


M.A. Zaks, A.V. Straube.
      Steady Stokes flow with long-range correlations, fractal Fourier spectrum and anomalous transport
      Physical Review Letters (2002)  89,  pp.244101,1-4.

M.A. Zaks.
      On the dimensions of the spectral measure of symmetric binary substitutions
      Journal of Physics A:  Math.Gen. (2002) 35, pp.5833-5842.
M.A. Zaks.
      Influence of noise on dynamics with fractal Fourier spectra
      Physica A  (2002) 310, pp. 285-307.

M.A. Zaks, E.-H. Park,  J. Kurths.
      Self-induced slow-fast dynamics and swept bifurcation diagrams in weakly desynchronized systems,
      Physical Review E  (2002)  65,  p. 026212.

M.A. Zaks.
        Multifractal Fourier spectra and power-law decay of correlations  in random substitution sequences,
         Physical Review E  (2002)  65,  p. 011111.

A.A. Golovin, A.A. Nepomnyashchy, S.H. Davis, M.A. Zaks.
      Convective Cahn-Hilliard models: from coarsening to roughening
      Physical  Review Letters (2001) 86, pp.1550-1553.


M.A. Zaks.
     Fractal Fourier spectra of Cherry flows
     Physica D (2001)  149, pp.237-247.


A.A. Golovin, S.H. Davis, A.A. Nepomnyashchy, M.A. Zaks
     Convective Cahn-Hilliard models for kinetically controlled crystal growth
      Proceedings of  Equadiff-99, pp.241-244,   World Scientific Publishers, 2000.


M.A. Zaks, E.-H. Park,  J. Kurths.
      On phase synchronization by periodic force in chaotic oscillators with saddle equilibria
      International Journal of Bifurcation and Chaos (2000) 10, pp.2649-2667.

E.-H. Park, M.A. Zaks, J. Kurths.
     Phase synchronization in the forced Lorenz system
     Physical Review E (1999)  60, pp.6627-6638.

A.S. Pikovsky, M.G. Rosenblum, M.A. Zaks,  J. Kurths.
      Phase synchronization of regular and chaotic oscillators
      In:   Handbook of Chaos Control:  Foundations and Applications ,
      Editor:  H.G. Schuster,   Wiley-VCH,  Weinheim, 1999,  pp. 305-328.


M.A. Zaks, E.-H. Park, M.G. Rosenblum, J. Kurths.
      Alternating locking ratios in imperfect phase synchronization
      Physical Review Letters  (1999) 82, pp.4228-4231.

M.A. Zaks, A.S. Pikovsky, J. Kurths.
     On the generalized dimensions for the Fourier spectrum of the Thue-Morse sequence
     Journal of Physics A:  Math.Gen. (1999) 32, pp.1523-1530.

I.L. Kliakhandler, A.A. Nepomnyashchy, I.B. Simanovskii, M.A. Zaks.
      Nonlinear Marangoni waves in multilayer systems
      Physical Review E  (1998) 58, pp. 5765-5775.

M.A. Zaks, A.S. Pikovsky, J. Kurths.
      Symbolic dynamics behind the singular continuous power spectra of continuous flows
      Physica D (1998)  117, pp. 77-94.

A. Pikovsky, M. Zaks, M. Rosenblum, G. Osipov, J. Kurths.
      Phase synchronization of chaotic oscillations in terms of periodic orbits
      CHAOS (1997)  7, pp. 680-687.

M.A. Zaks, A.S. Pikovsky, J. Kurths.
     On the correlation dimension of the spectral measure for the Thue-Morse sequence
     Journal of Statistical Physics (1997)  88, pp. 1387-1392.

A. Pikovsky, G. Osipov, M. Rosenblum, M. Zaks, J. Kurths.
     Attractor-repeller collision and eyelet intermittency at the transition to phase synchronization
     Physical Review Letters (1997)  79, pp. 47-50.

M.A. Zaks, A.S. Pikovsky, J. Kurths.
     Steady viscous flow with fractal power spectrum
     Physical Review Letters (1996) 77, pp. 4338-4341.

P.I. Saparin, M.A. Zaks, J. Kurths, A. Voss, V.S. Anishchenko.
    Reconstruction and structure of electrocardiogam phase portraits
    Physical Review E  (1996)  54, pp.737-742.

M.A. Zaks,  A.A. Nepomnyashchy, B.A. Malomed.
     Onset of chaos in the two-dimensional complex Ginzburg-Landau equation
     Physica Scripta  (1996)  T67, pp.143-147.

M.A. Zaks, M. Auer, F.H. Busse.
     Undulating rolls and their instabilities in a Rayleigh-Bénard layer
     Physical Review E  (1996) 53, pp.4807-4819.

A.S. Pikovsky, M.A. Zaks, J. Kurths.
     Complexity of quasiperiodically driven spin system
     Journal of Physics A:  Math.Gen. (1996)   29, pp.295-302.


A.S. Pikovsky, M.A. Zaks, U. Feudel, J. Kurths.
     Singular continuous spectra in dissipative dynamical systems.
     Physical Review E  (1995) 52, pp.285-296.


U. Feudel, A.S. Pikovsky, M.A. Zaks.
     Correlation properties of quasiperiodically forced twolevel system.
     Physical Review E  (1995) 51, pp.1762-1769.


M.A.Zaks, F.H.Busse.
     Nonlinear evolution of the skewed varicose instability in thermal convection.
     Proc. of the NATO AR Workshop "Nonlinear coherent structures in physics and biology",
     Editors: K.H.Spatschek and F.G.Mertens (Plenum Press, New York, 1994), pp.397-400.


M.A. Zaks.
     Double-exponential scaling in sequences of m-tuplings with non-integer m for unimodal mappings.
     Physics Letters A (1994)  186, pp.323-329.


M.A. Zaks.
     Scaling properties and renormalization invariants for the “homoclinic quasiperiodicity”.
     Physica D (1993)  62, pp.300-316.


M.A. Zaks.
     On the convergence rate of a sequence of homoclinic bifurcations in systems without a symmetry constraint.
     Physics Letters A (1993)  175, pp.193-198.


F.H. Busse, M. Kropp, M.A. Zaks.
     Spatio-temporal structures in phase-turbulent convection.
     Physica D (1992)  61, pp.94-105.


A.S. Pikovsky, M.A. Zaks.
     Farey level separation in mode-locking structure of circle mappings.
     Physica D (1992)  59, pp.255-269.


A.S. Pikovsky, M.A. Zaks.
     On the global scaling properties of mode-lockings in a critical circle map.
     Physics Letters A (1991)  155, pp.373-376.


M.A. Zaks, D.V. Lyubimov.
     Bifurcation sequences in the dissipative systems with saddle equilibria.
     Banach Center Publications (1989)   23 , pp.367-380.


D.V. Lyubimov, A.S. Pikovsky, M.A. Zaks.
     Universal scenarios of transition to chaos via homoclinic bifurcations.
     Sov.Sci.Rev. C (1989)  8, pp.221-292.


M.A. Zaks, D.V. Lyubimov.
     Anomalously fast convergence of a doubling-type bifurcation chain in systems with two saddle equilibria .
     JETP   (1984)  60, pp.974-976.


D.V. Lyubimov, M.A. Zaks.
     Two Mechanisms of the Transition to Chaos in Finite-Dimensional Models of Convection.
     Physica D (1983)  9, pp.52-64.