381 citations · 3.1k across the 57 of their papers we have counts for
57 papers
Scale-free avalanches in arrays of FitzHugh-Nagumo oscillators
Max Contreras, Everton S. Medeiros, Anna Zakharova +2
The activity in the brain cortex remarkably shows a simultaneous presence of robust collective oscillations and neuronal avalanches, where intermittent bursts of pseudo-synchronous…
Multiplexing-based control of wavefront propagation: the interplay of inter-layer coupling, asymmetry and noise
Vladimir V. Semenov, Sarika Jalan, Anna Zakharova
We show how multiplexing influences propagating fronts in multilayer networks of coupled bistable oscillators. Using numerical simulation, we investigate both deterministic and noi…
Stochastic control of spiking activity bump expansion: monotonic and resonant phenomena
Vladimir V. Semenov, Anna Zakharova
We consider spatially localized spiking activity patterns, so-called bumps, in ensembles of bistable spiking oscillators. The bistability consists in the coexistence of self-sustai…
Multiplexing-based control of stochastic resonance
Vladimir V. Semenov, Anna Zakharova
We show that multiplexing allows to control noise-induced dynamics of multilayer networks in the regime of stochastic resonance. We illustrate this effect on an example of two- and…
Solitary states in complex networks: impact of topology
Leonhard Schülen, Maria Mikhailenko, Everton S. Medeiros +1
The dynamical behavior of networked systems is expected to reflect the features of their coupling structure. Yet, symmetry-broken solutions often occur in symmetrically coupled net…
Generalized model for steady-state bifurcations without parameters in memristor-based oscillators with lines of equilibria
lvan A. Korneev, Andrei V. Slepnev, Anna S. Zakharova +2
We demonstrate how the pitchfork, transcritical and saddle-node bifurcations of steady states observed in dynamical systems with a finite number of isolated equilibrium points occu…
Solitary routes to chimera states
Leonhard Schülen, Alexander Gerdes, Matthias Wolfrum +1
We show how solitary states in a system of globally coupled FitzHugh-Nagumo oscillators can lead to the emergence of chimera states. By a numerical bifurcation analysis of a suitab…
Coupling-induced periodic windows in networked discrete-time systems
Leonard Hallier, Everton S. Medeiros, Antonio Mihara +2
Networked nonlinear systems present a variety of emergent phenomena as a result of the mutual interactions between their units. An interesting feature of these systems is the prese…
Sparsity-driven synchronization in oscillators networks
Antonio Mihara, Everton S. Medeiros, Anna Zakharova +1
The emergence of synchronized behavior is a direct consequence of networking dynamical systems. Naturally, strict instances of this phenomenon, such as the states of complete synch…
Edges of inter-layer synchronization in multilayer networks with time-switching links
Muhittin Cenk Eser, Everton S. Medeiros, Mustafa Riza +1
We investigate the transition to synchronization in a two-layer network with time-switching inter-layer links. We focus on the role of the number of inter-layer links and the time-…
Unbalanced clustering and solitary states in coupled excitable systems
Igor Franović, Sebastian Eydam, Nadezhda Semenova +1
We demonstrate the mechanisms of emergence and the link between two types of symmetry-broken states, the unbalanced periodic two-cluster states and solitary states, in coupled exci…
Asymmetry-induced order in multilayer networks
Everton S Medeiros, Ulrike Feudel, Anna Zakharova
Symmetries naturally occur in real-world networks and can significantly influence the observed dynamics. For instance, many synchronization patterns result from the underlying netw…
Structural anomalies in brain networks induce dynamical pacemaker effects
I. Koulierakis, D. A. Verganelakis, I. Omelchenko +3
Dynamical effects on healthy brains and brains affected by tumor are investigated via numerical simulations. The brains are modeled as multilayer networks consisting of neuronal os…
Solitary states in multiplex neural networks: onset and vulnerability
Leonhard Schuelen, David A. Janzen, Everton S. Medeiros +1
We investigate solitary states in a two-layer multiplex network of FitzHugh-Nagumo neurons in the oscillatory regime. We demonstrate how solitary states can be induced in a multipl…
Control of coherence resonance in multiplex neural networks
M. Masoliver, C. Masoller, A. Zakharova
We study the dynamics of two neuronal populations weakly and mutually coupled in a multiplexed ring configuration. We simulate the neuronal activity with the stochastic FitzHugh-Na…
Coherence resonance in neuronal populations: mean-field versus network model
Emre Baspinar, Leonhard Schülen, Simona Olmi +1
The counter-intuitive phenomenon of coherence resonance describes a non-monotonic behavior of the regularity of noise-induced oscillations in the excitable regime, leading to an op…
FitzHugh-Nagumo oscillators on complex networks mimic epileptic-seizure-related synchronization phenomena
M. Gerster, R. Berner, J. Sawicki +5
We study patterns of partial synchronization in a network of FitzHugh-Nagumo oscillators with empirical structural connectivity measured in human subjects. We report the spontaneou…
Delay engineered solitary states in complex networks
Leonhard Schülen, Saptarshi Ghosh, Ajay Deep Kachhvah +2
We present a technique to engineer solitary states by means of delayed links in a network of neural oscillators and in coupled chaotic maps. Solitary states are intriguing partial…
Taming Chimeras in Networks through Multiplexing Delays
Saptarshi Ghosh, Leonhard Schülen, Ajay Deep Kachhvah +2
Chimera referring to a coexistence of coherent and incoherent states, is traditionally very difficult to control due to its peculiar nature. Here, we provide a recipe to construct…
Partial synchronization in empirical brain networks as a model for unihemispheric sleep
Lukas Ramlow, Jakub Sawicki, Anna Zakharova +3
We analyze partial synchronization patterns in a network of FitzHugh-Nagumo oscillators with empirical structural connectivity measured in healthy human subjects. We report a dynam…
Relay synchronization in multiplex networks of discrete maps
Marius Winkler, Jakub Sawicki, Iryna Omelchenko +3
Complex multiplex networks consist of several subnetwork layers, which interact via pairwise inter-layer connections. Relay synchronization between distant layers which are not dir…
Weak multiplexing in neural networks: Switching between chimera and solitary states
Maria Mikhaylenko, Lukas Ramlow, Sarika Jalan +1
We investigate spatio-temporal patterns occurring in a two-layer multiplex network of oscillatory FitzHugh-Nagumo neurons, where each layer is represented by a nonlocally coupled r…
Delay-induced chimeras in neural networks with fractal topology
Jakub Sawicki, Iryna Omelchenko, Anna Zakharova +1
We study chimera states, which are partial synchronization patterns consisting of spatially coexisting domains of coherent (synchronized) and incoherent (desynchronized) dynamics,…
Delay controls chimera relay synchronization in multiplex networks
Jakub Sawicki, Iryna Omelchenko, Anna Zakharova +1
We study remote (or relay) synchronization in multilayer networks between parts of one layer and their counterparts in a second layer, where these two layers are not directly conne…