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List of works by Arkady S. Pikovsky

Abnormal mixing of passive scalars in chaotic flows

scientific article published on 19 March 2007

An integrated model of fixational eye movements and microsaccades

scientific article

Anomalous diffusion in the Kuramoto-Sivashinsky equation.

scientific article published in May 1993

Antireliability of noise-driven neurons

Author Correction: Interplay of coupling and common noise at the transition to synchrony in oscillator populations

scientific article published on 23 May 2023

Birth of a strange nonchaotic attractor: A renormalization group analysis

scientific article published on 01 March 1995

Birth of strange nonchaotic attractors due to interior crisis

Blinking chimeras in globally coupled rotators

scientific article published on 01 July 2019

Breathers in strongly anharmonic lattices

scientific article published on 26 February 2014

Chaotic destruction of Anderson localization in a nonlinear lattice

Chaotic macroscopic phases in one-dimensional oscillators

Chapter 9 Phase synchronization: From theory to data analysis ⬇️

book section published in 2001

Characterizing direction of coupling from experimental observations

scientific article published in March 2003

Characterizing strange nonchaotic attractors

scientific article published on 01 March 1995

Chimeralike states in an ensemble of globally coupled oscillators ⬇️

scientific article published on 11 April 2014

Chimeras and complex cluster states in arrays of spin-torque oscillators

scientific article published on 5 July 2017

Coherence of noisy oscillators with delayed feedback

article published in 2003

Collective mode reductions for populations of coupled noisy oscillators

scholarly article by Denis S. Goldobin et al published October 2018 in Chaos

Collective modes in parametrically excited oscillator arrays

article published in 2002

Collective phase chaos in the dynamics of interacting oscillator ensembles

scientific article published on 01 December 2010

Comment on "Asymptotic Phase for Stochastic Oscillators"

scientific article published on 04 August 2015

Comment on "Chaos, noise, and synchronization"

scientific article published on 01 November 1994

Comment on "Intermittency in chaotic rotations"

scientific article published on 29 October 2001

Comment on "Noisy uncoupled chaotic map ensembles violate the law of large numbers"

scientific article published on 01 July 1993

Comment on "Simple approach to the creation of a strange nonchaotic attractor in any chaotic system"

scientific article published on 22 October 2001

Compactons and chaos in strongly nonlinear lattices

scientific article published on 13 February 2009

Competing influence of common noise and desynchronizing coupling on synchronization in the Kuramoto-Sakaguchi ensemble

Complex dynamics of an oscillator ensemble with uniformly distributed natural frequencies and global nonlinear coupling

scientific article published on 19 July 2010

Continuous approach for the random-field Ising chain

scientific article published on 07 November 2005

Controlling Coherence of Noisy and Chaotic Oscillators by Delayed Feedback

Controlling synchronization in an ensemble of globally coupled oscillators

scientific article published on 19 March 2004

Correction to: Competing influence of common noise and desynchronizing coupling on synchronization in the Kuramoto-Sakaguchi ensemble

scientific article published on 4 January 2024

Correlation properties of a quasiperiodically forced two-level system

scientific article published on 01 March 1995

Correlations and spectra of strange nonchaotic attractors

Coupled Möbius maps as a tool to model Kuramoto phase synchronization

scientific article published on 01 August 2020

Coupled oscillators approach in analysis of physiological data.

scientific article

Critical point of tori collision in quasiperiodically forced systems

scientific article published on 01 August 2000

Critical properties of the synchronization transition in space-time chaos.

scientific article published on 7 June 2002

Cycle expansion for power spectrum

Delayed feedback control of collective synchrony: an approach to suppression of pathological brain rhythms

scientific article published on 21 October 2004

Describing dynamics of driven multistable oscillators with phase transfer curves

article

Destruction of Anderson Localization by a Weak Nonlinearity

scientific article published on 04 March 2008

Detecting direction of coupling in interacting oscillators

scientific article published on 21 September 2001

Detecting triplet locking by triplet synchronization indices

scientific article published on 9 May 2013

Detection ofn:mPhase Locking from Noisy Data: Application to Magnetoencephalography

scientific article published in Physical Review Letters

Disentangling respiratory sinus arrhythmia in heart rate variability records

scientific article published on 16 May 2018

Do globally coupled maps really violate the law of large numbers?

scientific article published on 01 March 1994

Dynamic localization of Lyapunov vectors in Hamiltonian lattices.

scientific article published on 21 February 2001

Dynamical disentanglement in an analysis of oscillatory systems: an application to respiratory sinus arrhythmia

scientific article published on 28 October 2019

Dynamical thermalization of disordered nonlinear lattices

scientific article published on 24 November 2009

Dynamics of Noisy Oscillator Populations beyond the Ott-Antonsen Ansatz

scientific article published in Physical Review Letters

Dynamics of globally coupled oscillators: Progress and perspectives.

scientific article published on September 2015

Dynamics of multifrequency oscillator communities

scientific article published on 26 March 2013

Dynamics of oscillators globally coupled via two mean fields.

scientific article

ERRATUM: Untangling complex dynamical systems via derivative-variable correlations.

scientific article published on 25 June 2014

Effective phase dynamics of noise-induced oscillations in excitable systems.

scientific article published on 30 April 2010

Effects of Delayed Feedback on Kuramoto Transition

Effects of nonresonant interaction in ensembles of phase oscillators

scientific article published on 18 July 2011

Efficient determination of synchronization domains from observations of asynchronous dynamics

article

Ensemble inequivalence in a mean-fieldXYmodel with ferromagnetic and nematic couplings ⬇️

scientific article published on 31 December 2014

Estimation of delay in coupling from time series

scientific article published on 25 October 2004

Feedback suppression of neural synchrony by vanishing stimulation

scientific article published on 17 January 2007

Finite-size-induced transitions to synchrony in oscillator ensembles with nonlinear global coupling ⬇️

scientific article published on 3 August 2015

Forcing oscillatory media: phase kinks vs. synchronization

How much time has passed? Ask your heart.

scientific article published on 09 April 2014

Hyperbolic chaos of Turing patterns

scientific article published on 7 May 2012

In vivo cardiac phase response curve elucidates human respiratory heart rate variability

scientific article published in January 2013

Intercommunity resonances in multifrequency ensembles of coupled oscillators

scientific article published on 08 July 2015

Interplay of coupling and common noise at the transition to synchrony in oscillator populations

scientific article published on 06 December 2016

Kantorovich-Rubinstein-Wasserstein distance between overlapping attractor and repeller

scientific article published on 01 July 2020

Locking and regularization of chimeras by periodic forcing

scientific article published on 01 October 2020

Locking-based frequency measurement and synchronization of chaotic oscillators with complex dynamics

scientific article published on 12 December 2002

Low-dimensional description for ensembles of identical phase oscillators subject to Cauchy noise

scientific article published on 01 November 2020

Low-dimensional dynamics for higher-order harmonic, globally coupled phase-oscillator ensembles

scientific article published on 01 December 2019

Manifestations of classical and quantum chaos in nonlinear wave propagation

scientific article published on 01 September 1991

Marginal chimera state at cross-frequency locking of pulse-coupled neural networks. ⬇️

scientific article

Maximizing Coherence of Oscillations by External Locking ⬇️

scientific article published on 13 August 2015

Microscopic correlations in the finite-size Kuramoto model of coupled oscillators

scientific article published on 01 September 2019

Mixing-induced global modes in open active flow

scientific article published on 01 November 2007

Multiband strange nonchaotic attractors in quasiperiodically forced systems

Multiplicity of singular synchronous states in the Kuramoto model of coupled oscillators.

scientific article

Multipulse phase resetting curves

scientific article published on 7 October 2013

Network reconstruction from random phase resetting

scientific article published on 11 July 2011

Noise-induced dynamics in bistable systems with delay

scientific article published on 28 November 2001

Nonlinear phase coupling functions: a numerical study

scientific article published on 28 October 2019

Nonreciprocal wave scattering on nonlinear string-coupled oscillators ⬇️

scientific article published in December 2014

Numerical phase reduction beyond the first order approximation

scientific article published on 01 January 2019

Optimal phase description of chaotic oscillators

scientific article published on 27 February 2012

Partial synchronization in networks of non-linearly coupled oscillators: The Deserter Hubs Model.

scientific article published in April 2015

Partially integrable dynamics of hierarchical populations of coupled oscillators

scientific article published on 01 December 2008

Periodically forced ensemble of nonlinearly coupled oscillators: from partial to full synchrony.

scientific article published on 22 October 2009

Phase compactons in chains of dispersively coupled oscillators.

scientific article published on 3 May 2005

Phase description of stochastic oscillations

scientific article published on 13 May 2013

Phase dynamics of coupled oscillators reconstructed from data

scientific article

Phase resetting of collective rhythm in ensembles of oscillators.

scientific article published on 3 November 2010

Phase synchronization of chaotic oscillations in terms of periodic orbits

scientific article published on 01 December 1997

Phase synchronization of chaotic oscillators

scientific article published on 01 March 1996

Phase synchronization of chaotic rotators

scientific article published on 18 January 2002

Pulsatile desynchronizing delayed feedback for closed-loop deep brain stimulation.

scientific article

Quantum vacuum of strongly nonlinear lattices

scientific article published on 03 January 2011

Reconstructing phase dynamics of oscillator networks

scientific article published in June 2011

Reconstruction of a neural network from a time series of firing rates. ⬇️

scientific article published on 20 June 2016

Reconstruction of two-dimensional phase dynamics from experiments on coupled oscillators

scientific article

Renormalization of correlations and spectra of a strange non-chaotic attractor

Repulsively coupled Kuramoto-Sakaguchi phase oscillators ensemble subject to common noise

scientific article published on 01 March 2019

Resolving clusters in chaotic ensembles of globally coupled identical oscillators

scientific article published on 06 July 2001

Riddling, bubbling, and Hopf bifurcation in coupled map systems

scientific article published on 01 November 1999

Robust synchronization of spin-torque oscillators with an LCR load

scientific article published on 23 September 2013

Roughening interfaces in the dynamics of perturbations of spatiotemporal chaos

scientific article published on 01 January 1994

Scaling of energy spreading in strongly nonlinear disordered lattices.

scientific article published on 22 February 2011

Scaling of lyapunov exponents of coupled chaotic systems

scientific article published on 01 January 2000

Scaling properties of energy spreading in nonlinear Hamiltonian two-dimensional lattices

scientific article published on 26 November 2012

Scaling properties of weak chaos in nonlinear disordered lattices.

scientific article published on 24 February 2011

Self-emerging and turbulent chimeras in oscillator chains

scientific article published on 30 September 2010

Self-organized quasiperiodicity in oscillator ensembles with global nonlinear coupling.

scientific article published on 5 February 2007

Singular continuous spectra in dissipative dynamics

scientific article published on 01 July 1995

Solitary phase waves in a chain of autonomous oscillators

scientific article published on 01 May 2020

Spreading of energy in the Ding-Dong model

scientific article published on 01 June 2012

Star-type oscillatory networks with generic Kuramoto-type coupling: A model for "Japanese drums synchrony" ⬇️

scientific article published on 01 December 2015

Statistical properties of dynamically generated anomalous diffusion

scientific article published on 01 March 1991

Steady Viscous Flow with Fractal Power Spectrum

scientific article published on 01 November 1996

Stochastic bursting in unidirectionally delay-coupled noisy excitable systems

scientific article published on 01 April 2019

Strange Nonchaotic Attractors

Strange non-chaotic attractor in a quasiperiodically forced circle map

article by Ulrike Feudel et al published December 1995 in Physica D

Superexponential droplet fractalization as a hierarchical formation of dissipative compactons

scientific article published on 12 August 2010

Synchronization and desynchronization of self-sustained oscillators by common noise

Synchronization in noisy systems and cardiorespiratory interaction.

scientific article published in November 1998

Synchronization of a Josephson junction array in terms of global variables

scientific article published on 12 August 2013

Synchronization of coupled active rotators by common noise

scientific article published on 11 December 2017

Synchronization of oscillators in a Kuramoto-type model with generic coupling. ⬇️

scientific article published in June 2014

Synchronization: A Universal Concept in Nonlinear Sciences ⬇️

book published in 2001

Synchrony suppression in ensembles of coupled oscillators via adaptive vanishing feedback

scientific article published in September 2013

System Size Resonance in Coupled Noisy Systems and in the Ising Model

scientific article published in Physical Review Letters

Temporal chaos versus spatial mixing in reaction-advection-diffusion systems

scientific article published on 18 October 2004

The simplest case of chaotic wave scattering

scientific article published on 01 October 1993

Transcritical riddling in a system of coupled maps.

scientific article published on 14 February 2001

Transition to coherence in populations of coupled chaotic oscillators: a linear response approach.

scientific article

Transition to collective oscillations in finite Kuramoto ensembles

scientific article published on 01 March 2018

Traveling waves and compactons in phase oscillator lattices.

scientific article published in September 2008

Two types of quasiperiodic partial synchrony in oscillator ensembles ⬇️

scientific article published on 28 July 2015

Uncovering interaction of coupled oscillators from data

scientific article

Unidirectionally coupled map lattice as a model for open flow systems.

scientific article published in November 1996

Untangling complex dynamical systems via derivative-variable correlations

scientific article

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