Controlling complex networks with complex nodes

RM D'Souza, M di Bernardo, YY Liu - Nature Reviews Physics, 2023‏ - nature.com
Real-world networks often consist of millions of heterogenous elements that interact at
multiple timescales and length scales. The fields of statistical physics and control theory both …

Chimeras

F Parastesh, S Jafari, H Azarnoush, Z Shahriari… - Physics Reports, 2021‏ - Elsevier
Chimeras are this year coming of age since they were first observed by Kuramoto and
Battogtokh in 2002 in a one-dimensional network of complex Ginzburg–Landau equations …

Chimera states in neuronal networks: A review

S Majhi, BK Bera, D Ghosh, M Perc - Physics of life reviews, 2019‏ - Elsevier
Neuronal networks, similar to many other complex systems, self-organize into fascinating
emergent states that are not only visually compelling, but also vital for the proper functioning …

Chimera patterns in networks

A Zakharova - Springer, 2020‏ - Springer
Synchronization phenomena represent one of the central issues in the modern research, in
particular, on nonlinear dynamics, network science, and statistical physics with applications …

Is there a user-friendly building unit to replicate rhythmic patterns of CPG systems? Synchrony transition and application of the delayed bursting-HCO model

Z Song, F Ji, J Xu - Chaos, Solitons & Fractals, 2024‏ - Elsevier
The CPG neural system is an important local circuit to control rhythmic movement of
vertebrates and invertebrates. The half-central oscillator (HCO), ie the building unit of the …

Time delayed chemical synapses and synchronization in multilayer neuronal networks with ephaptic inter-layer coupling

M Shafiei, S Jafari, F Parastesh, M Ozer… - … in Nonlinear Science …, 2020‏ - Elsevier
In this paper, a three-layer neuronal network is studied to consider different complex
connections between the neurons. In the nervous system, the communication between the …

Solitary states and solitary state chimera in neural networks

E Rybalova, VS Anishchenko, GI Strelkova… - … Journal of Nonlinear …, 2019‏ - pubs.aip.org
We investigate solitary states and solitary state chimeras in a ring of nonlocally coupled
systems represented by FitzHugh-Nagumo neurons in the oscillatory regime. We perform a …

Weak multiplexing in neural networks: Switching between chimera and solitary states

M Mikhaylenko, L Ramlow, S Jalan… - … journal of nonlinear …, 2019‏ - pubs.aip.org
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 …

Coherence-resonance chimeras in coupled HR neurons with alpha-stable Lévy noise

Z Wang, Y Li, Y Xu, T Kapitaniak… - Journal of Statistical …, 2022‏ - iopscience.iop.org
In this paper, we have investigated the collective dynamical behaviors of a network of
identical Hindmarsh–Rose neurons that are coupled under small-world schemes upon the …

Genesis of chimera patterns through self-induced stochastic resonance

T Khatun, T Banerjee - Chaos, Solitons & Fractals, 2023‏ - Elsevier
Noise induced order in excitable systems has diverse manifestations, such as coherence
resonance (CR) and stochastic resonance. In this context a less explored phenomenon is …