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Neural coupled oscillators are a useful building block in numerous models and applications. They were analyzed extensively in theoretical studies and more recently, in biologically realistic simulations of spiking neural networks. The…

Emerging Technologies · Computer Science 2021-09-16 Renate Krause , Joanne J. A. van Bavel , Chenxi Wu , Marc A. Vos , Alain Nogaret , Giacomo Indiveri

We explore the phase reduction in networks of coupled oscillators in the higher orders of the coupling parameter. For coupled Stuart-Landau oscillators, where the phase can be introduced explicitly, we develop an analytic perturbation…

Adaptation and Self-Organizing Systems · Physics 2020-07-29 Erik Genge , Erik Teichmann , Michael Rosenblum , Arkady Pikovsky

A minimalistic model of the half-center oscillator is proposed. Within it, we consider dynamics of two excitable neurons interacting by means of the excitatory coupling. In the parameter space of the model, we identify the regions of…

Dynamical Systems · Mathematics 2021-03-02 A. G. Korotkov , T. A. Levanova , M. A. Zaks , G. V. Osipov

We analyze the dynamics of the neural circuit of the lamprey central pattern generator (CPG). This analysis provides insights into how neural interactions form oscillators and enable spontaneous oscillations in a network of damped…

Neurons and Cognition · Quantitative Biology 2009-11-10 Li Zhaoping , Alex Lewis , Silvia Scarpetta

This paper proposes a variable metric splitting algorithm to solve the electrical behavior of neuromorphic circuits made of capacitors, memristive elements, and batteries. The gradient property of the memristive elements is exploited to…

Systems and Control · Electrical Eng. & Systems 2025-04-10 Amir Shahhosseini , Thomas Burger , Rodolphe Sepulchre

The model of coupled oscillators plays an important role in modern physics. It is used for description of various processes: from vibrations atoms in solid states to electromagnetic oscillations in slow-wave structures. The model with…

Accelerator Physics · Physics 2018-04-12 M. I. Ayzatsky , K. Yu. Kramarenko

Neuromorphic circuits mimic partial functionalities of brain in a bio-inspired information processing sense in order to achieve similar efficiencies as biological systems. While there are common mathematical models for neurons, which can be…

Emerging Technologies · Computer Science 2017-09-26 Enver Solan , Karlheinz Ochs

Polarisation of radio pulsar profiles involves a number of poorly understood, intriguing phenomena, such as the existence of comparable amounts of orthogonal polarisation modes (OPMs), strong distortions of polarisation angle (PA) curves…

High Energy Astrophysical Phenomena · Physics 2017-05-26 J. Dyks

Whole-brain computational modeling based on structural connectivity has shown great promise in successfully simulating fMRI BOLD signals with temporal co-activation patterns that are highly similar to empirical functional connectivity…

Neurons and Cognition · Quantitative Biology 2019-11-14 Neda Kaboodvand , Martijn P van den Heuvel , Peter Fransson

We demonstrate the utility of machine learning algorithms for the design of Oscillatory Neural Networks (ONNs). After constructing a circuit model of the oscillators in a machine-learning-enabled simulator and performing Backpropagation…

Disordered Systems and Neural Networks · Physics 2023-09-07 Tamas Rudner , Wolfgang Porod , Gyorgy Csaba

Memristors offer significant advantages as in-memory computing devices due to their non-volatility, low power consumption, and history-dependent conductivity. These attributes are particularly valuable in the realm of neuromorphic circuits…

Neural and Evolutionary Computing · Computer Science 2024-07-19 Julio Souto , Guillermo Botella , Daniel García , Raúl Murillo , Alberto del Barrio

Neurons in the brain behave as a network of coupled nonlinear oscillators processing information by rhythmic activity and interaction. Several technological approaches have been proposed that might enable mimicking the complex information…

Applied Physics · Physics 2018-11-07 M. Vogel , B. Zimmermann , J. Wild , F. Schwarzhuber , C. Mewes , T. Mewes , J. Zweck , C. H. Back

We present an approach for reconstructing networks of pulse-coupled neuron-like oscillators from passive observation of pulse trains of all nodes. It is assumed that units are described by their phase response curves and that their phases…

Adaptation and Self-Organizing Systems · Physics 2017-07-19 Rok Cestnik , Michael Rosenblum

In the present paper, we report on the switching dynamics of both single and coupled VO2-based oscillators, with resistive and capacitive coupling, and explore the capability of their application in oscillatory neural networks. Based on…

Neural and Evolutionary Computing · Computer Science 2020-01-08 Andrei Velichko , Maksim Belyaev , Vadim Putrolaynen , Alexander Pergament , Valentin Perminov

A comparison of results from principal component analysis and support vector machine calculations is made for a variety of phase transitions in two-dimensional classical spin models.

Statistical Mechanics · Physics 2019-05-21 R. M. Woloshyn

The Model Predictive Control (MPC) approach is used in this paper to control the voltage profiles in MV networks with distributed generation. The proposed algorithm lies at the intermediate level of a three-layer hierarchical structure. At…

Systems and Control · Computer Science 2013-11-15 Marcello Farina , Antonio Guagliardi , Federico Mariani , Carlo Sandroni , Riccardo Scattolini

Memristors are non-volatile nano-resistors. Their resistance can be tuned by applied currents or voltages and set to a large number of levels between two limit values. Thanks to these properties, memristors are ideal building blocks for a…

Mesoscale and Nanoscale Physics · Physics 2016-05-26 Steven Lequeux , Joao Sampaio , Vincent Cros , Kay Yakushiji , Akio Fukushima , Rie Matsumoto , Hitoshi Kubota , Shinji Yuasa , Julie Grollier

We introduce a new method for reducing phase noise in oscillators, thereby improving their frequency precision. The noise reduction device consists of a pair of coupled nonlinear resonating elements that are driven parametrically by the…

Mesoscale and Nanoscale Physics · Physics 2012-07-18 Eyal Kenig , M. C. Cross , Ron Lifshitz , R. B. Karabalin , L. G. Villanueva , M. H. Matheny , M. L. Roukes

The primary steps of photosynthesis rely on the generation, transport, and trapping of excitons in pigment-protein complexes (PPCs). Generically, PPCs possess highly structured vibrational spectra, combining many discrete intra-pigment…

Chemical Physics · Physics 2022-06-07 F. Caycedo-Soler , A. Mattioni , J. Lim , T. Renger , S. F. Huelga , M. B. Plenio

Relaxation oscillator-based circuits are widely used for interfacing various resistive and capacitive sensors. The electrical equivalent of most resistive and capacitive sensors is represented using a parallel combination of resistor and…

Systems and Control · Electrical Eng. & Systems 2023-07-18 Mohamad Idris Wani , Sadan Saquib Khan , Benish Jan , Meraj Ahmad , Maryam Shojaei Baghini , Laxmeesha Somappa , Shahid Malik
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