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Emergent Spaces for Coupled Oscillators [PDF]

Frontiers in Computational Neuroscience, 2020
Systems of coupled dynamical units (e.g., oscillators or neurons) are known to exhibit complex, emergent behaviors that may be simplified through coarse-graining: a process in which one discovers coarse variables and derives equations for their evolution.
Thomas N. Thiem, Mahdi Kooshkbaghi, Tom Bertalan, Carlo R. Laing, Ioannis G. Kevrekidis   +4 more
doaj   +6 more sources

Theory on the dynamics of oscillatory loops in the transcription factor networks. [PDF]

PLoS ONE, 2014
We develop a detailed theoretical framework for various types of transcription factor gene oscillators. We further demonstrate that one can build genetic-oscillators which are tunable and robust against perturbations in the critical control parameters by
Rajamanickam Murugan
doaj   +6 more sources

Unveiling synchronization transitions in networks of coupled oscillators through persistent homology of local structures [PDF]

Scientific Reports
Synchronization phenomenon characterize the collective behavior of complex systems. In recent years, data-driven approaches have become relevant because they can identify and quantify synchronized activity.
Álvaro Zabaleta-Ortega, Cristina Masoller, Lev Guzmán-Vargas   +2 more
doaj   +2 more sources

Emergence of Self-Organized Dynamical Domains in a Ring of Coupled Population Oscillators

Mathematics, 2021
We show that interactions of inherently chaotic oscillators can lead to coexistence of regular oscillatory regimes and chaotic oscillations in the rings of coupled oscillators provided that the level of interaction between the oscillators exceeds a ...
Alexey V. Rusakov, Dmitry A. Tikhonov, Nailya I. Nurieva, Alexander B. Medvinsky   +3 more
doaj   +1 more source

Phase reduction of strongly coupled limit-cycle oscillators

Physical Review Research, 2022
The phase reduction method has played a key role in the theoretical and experimental analysis of synchronization dynamics of coupled oscillators, but its applicability is limited to the case of weak coupling.
Wataru Kurebayashi, Takuto Yamamoto, Sho Shirasaka, Hiroya Nakao   +3 more
doaj   +1 more source

Research on time synchronization of linear pulse-coupled oscillators model with delay in nearest neighbor wireless multi-hop networks

International Journal of Distributed Sensor Networks, 2021
Time synchronicity works as a popular requirement in wireless sensor networks. Pulse-coupled oscillators similar to firefly flashing and synchronization via discrete pulse coupling are widely used in wireless sensor networks.
Lizhen Cui, Jian Cao, Zhulin An, Yong Yang, Qianqian Guo   +4 more
doaj   +1 more source

Quantum reservoir computing implementation on coherently coupled quantum oscillators

npj Quantum Information, 2023
Quantum reservoir computing is a promising approach for quantum neural networks, capable of solving hard learning tasks on both classical and quantum input data. However, current approaches with qubits suffer from limited connectivity.
Julien Dudas, Baptiste Carles, Erwan Plouet, Frank Alice Mizrahi, Julie Grollier, Danijela Marković   +5 more
doaj   +1 more source

Mutual Synchronization of Antiferromagnetic Spintronic Oscillators

Известия высших учебных заведений России: Радиоэлектроника, 2022
Introduction. Recent studies into the properties of spintronic oscillators have led to broadening their scope of practical application as devices for generating and processing signals.
A. Yu. Mitrofanova, A. R. Safin, O. V. Kravchenko, S. A. Nikitov   +3 more
doaj   +1 more source

Destroying synchrony in an array of the FitzHugh–Nagumo oscillators by external DC voltage source

Nonlinear Analysis, 2020
A control method for desynchronizing an array of mean-field coupled FitzHugh–Nagumo-type oscillators is described. The technique is based on applying an adjustable DC voltage source to the coupling node.
Elena Adomaitienė, Skaidra Bumelienė, Gytis Mykolaitis, Arūnas Tamaševičius   +3 more
doaj   +1 more source

From phase advance to phase delay: Flexible coordination between neuronal rhythms by the duration of synaptic input

Physical Review Research, 2023
Coupled neuronal oscillators generate a wide range of dynamic activity patterns that drive various behaviors in animals. A single neural circuit can generate multiple activity patterns and switch between them by tuning the coordination between its ...
Roman Borisyuk, Alexander Khibnik, Arun Neru Balachandar, Joël Tabak   +3 more
doaj   +1 more source