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@INPROCEEDINGS{Salwa:1030944,
author = {Salwa, Yasmeen Neyaz and Schiek, Michael and Ashok, Arun
and Grewing, Christian and Ebrahimzadeh, Pezhman and
Zambanini, Andre and van Waasen, Stefan},
title = {{E}xploring {C}oupled {O}scillator {N}etworks with
{H}ighly-{C}onfigurable {I}ntegrated {C}ircuit {D}esigns},
school = {University of Duisburg Essen},
reportid = {FZJ-2024-05535},
year = {2024},
abstract = {The analysis of the complex dynamics of coupled oscillator
networks is crucial not only for the understanding of
corresponding systems in biology (i.e., brain dynamics) but
also for our technical world (e.g., the stability of power
grids). Moreover, this knowledge paves the way to use
coupled oscillator systems for bio-inspired computing. Both
analytical methods and, in particular, numerical simulations
have provided fundamental insights into the existence and
coexistence of synchronization states and different symmetry
breaking in completely symmetrical oscillator networks such
as chimera states or solitary states [1]. For example, the
influence of the coupling strength and the phase shift in
the coupling on the network dynamics was investigated in
detail [2]. However, despite the computing power of modern
computers available today, there are limits to analyzing
very large networks and their transient or adaptive dynamic
over very long periods using numerical simulations. A way to
overcome these restrictions is to perform experiments with
physical implementations of large-scale coupled oscillator
systems using state-of-the-art integrated circuit
technology. Most of the recently presented developments
focus on bio-inspired computing applications and thus are
rather restricted concerning the configurability of network
topology and coupling terms [3]. To mimic the response of
real-world oscillatory networks like power grids to varying
external and internal conditions, one needs to be able to
change coupling topology and coupling terms of the physical
implemented during the experiment, i.e., ‘on the fly’.
In our proposed integrated circuit system designed in a 28
nm CMOS technology, we employ an architecture, organizing
oscillators into clusters with adjustable all-to-all
coupling within each cluster. A high level of
configurability allows for programmable coupling terms
(phase shift and coupling strength) within and between the
clusters. The oscillators are realized by type 2 Phase
Locked Loop (PLL) circuits of third order. The
voltage-controlled oscillators (VCOs) are implemented using
ring oscillators, which are well-known standard CMOS
building blocks. The connectivity among the PLLs is studied
with two alternative approaches, either by employing
multiple phase and frequency detectors (PFD) and logic gates
leading to the charge pump node or with multiple charge
pumps directed towards a VCO node. The eigenfrequency of the
nodes can be configured individually, typically lying in the
range of 10 MHz. External inputs can be fed into dedicated
nodes by either modulating the frequency or initialization
of phrases of the controlled oscillators. The system
dynamics are determined during operation in terms of phase
and frequency synchronization within and between the
clusters and this information is available in real-time,
e.g., for control purposes. The proposed system is very well
suited for exploring the complex long-term dynamics of
large-scale oscillator networks.[1] Maistrenko, Y.,
Penkovsky, B., $\&$ Rosenblum, M.; Physical Review E
(2014).[2] Ebrahimzadeh, P., Schiek, M., $\&$ Maistrenko,
Y.; CHAOS (2022)[3] Csaba, G., $\&$ Porod, W.; Applied
physics reviews (2020)},
month = {Jul},
date = {2024-07-28},
organization = {XLIV- Dynamic Days conference 2024,
Bremen (Germany), 28 Jul 2024 - 2 Aug
2024},
subtyp = {After Call},
cin = {ZEA-2 / PGI-14},
cid = {I:(DE-Juel1)ZEA-2-20090406 / I:(DE-Juel1)PGI-14-20210412},
pnm = {5234 - Emerging NC Architectures (POF4-523) / BMBF
16ME0398K - Verbundprojekt: Neuro-inspirierte Technologien
der künstlichen Intelligenz für die Elektronik der Zukunft
- NEUROTEC II - (BMBF-16ME0398K)},
pid = {G:(DE-HGF)POF4-5234 / G:(DE-82)BMBF-16ME0398K},
typ = {PUB:(DE-HGF)24},
doi = {10.34734/FZJ-2024-05535},
url = {https://juser.fz-juelich.de/record/1030944},
}