114 citations · 627 across the 20 of their papers we have counts for
21 papers
From empirical brain networks towards modeling music perception -- a perspective
Jakub Sawicki
This perspective article investigates how auditory stimuli influence neural network dynamics using the FitzHugh-Nagumo (FHN) model and empirical brain connectivity data. Results sh…
Adaptation and synchronization -- basic mechanisms in music performance
Jakub Sawicki
This review examines the roles of adaptation and synchronization in music performance, drawing on concepts from complex systems theory to understand the dynamic interactions betwee…
Importance of near- and far-field coupling for the synchronization of organ pipes
Jakub Sawicki
The synchronization of coupled organ pipes represents a nonlinear phenomenon with significant implications for both musical acoustics and nonlinear dynamics. This study investigate…
Interplay of synchronization and cortical input in models of brain networks
Jakub Sawicki, Eckehard Schöll
It is well known that synchronization patterns and coherence have a major role in the functioning of brain networks, both in pathological and in healthy states. In particular, in t…
Perspectives on adaptive dynamical systems
Jakub Sawicki, Rico Berner, Sarah A. M. Loos +21
Adaptivity is a dynamical feature that is omnipresent in nature, socio-economics, and technology. For example, adaptive couplings appear in various real-world systems like the powe…
Modelling the perception of music in brain network dynamics
Jakub Sawicki, Lenz Hartmann, Rolf Bader +1
We analyze the influence of music in a network of FitzHugh-Nagumo oscillators with empirical structural connectivity measured in healthy human subjects. We report an increase of co…
Critical parameters in dynamic network modeling of sepsis
Rico Berner, Jakub Sawicki, Max Thiele +2
In this work, we propose a dynamical systems perspective on the modeling of sepsis and its organ-damaging consequences. We develop a functional two-layer network model for sepsis b…
Modeling tumor disease and sepsis by networks of adaptively coupled phase oscillators
Jakub Sawicki, Rico Berner, Thomas Löser +1
In this study, we provide a dynamical systems perspective to the modelling of pathological states induced by tumors or infection. A unified disease model is established using the i…
Synchronization scenarios in three-layer networks with a hub
Jakub Sawicki, Julia M. Koulen, Eckehard Schöll
We study various relay synchronization scenarios in a three-layer network, where the middle (relay) layer is a single node, i.e. a hub, The two remote layers consist of non-locally…
Influence of sound on empirical brain networks
Jakub Sawicki, Eckehard Schöll
We analyze the influence of an external sound source in a network of FitzHugh-Nagumo oscillators with empirical structural connectivity measured in healthy human subjects. We repor…
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…
Effect of Topology upon Relay Synchronization in Triplex Neuronal Networks
Fenja Drauschke, Jakub Sawicki, Rico Berner +2
Relay synchronization in complex networks is characterized by the synchronization of remote parts of the network due to their interaction via a relay. In multilayer networks, dista…
Birth and stabilization of phase clusters by multiplexing of adaptive networks
Rico Berner, Jakub Sawicki, Eckehard Schöll
We propose a concept to generate and stabilize diverse partial synchronization patterns (phase clusters) in adaptive networks which are widespread in neuro- and social sciences, as…
Approximation of the objective insensitivity regions using Hierarchic Memetic Strategy coupled with Covariance Matrix Adaptation Evolutionary Strategy
Jakub Sawicki, Maciej Smołka, Marcin Łoś +1
One of the most challenging types of ill-posedness in global optimization is the presence of insensitivity regions in design parameter space, so the identification of their shape w…
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…
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…
Synchronization of organ pipes
Jakub Sawicki, Markus Abel, Eckehard Schöll
We investigate synchronization of coupled organ pipes. Synchronization and reflection in the organ lead to undesired weakening of the sound in special cases. Recent experiments hav…
Chimera states in complex networks: interplay of fractal topology and delay
Jakub Sawicki, Iryna Omelchenko, Anna Zakharova +1
Chimera states are an example of intriguing partial synchronization patterns emerging in networks of identical oscillators. They consist of spatially coexisting domains of coherent…
Chimera states and the interplay between initial conditions and non-local coupling
Peter Kalle, Jakub Sawicki, Anna Zakharova +1
Chimera states are complex spatio-temporal patterns that consist of coexisting domains of coherent and incoherent dynamics. We study chimera states in a network of non-locally coup…