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Josephson junctions (JJs) are by nature neuromorphic hardware devices capable of mimicking excitability and spiking dynamics. When coupled together or combined with other superconducting elements, they can emulate additional behaviors found…

Chaotic Dynamics · Physics 2025-03-12 G. Baxevanis , J. Hizanidis

We report on the origin of synchronized bursting dynamics in various networks of neural spiking oscillators, when a certain threshold in coupling strength is exceeded. These ensembles synchronize at relatively low coupling strength and lose…

Chaotic Dynamics · Physics 2007-05-23 Mikhail V. Ivanchenko , Grigory V. Osipov , Vladimir D. Shalfeev , Jurgen Kurths

In this work, a Josephson junction consisting of two superconducting layers sandwiching an insulating layer is explored, which is subject to the effects of thermal fluctuations. The precise expressions for the evolution of Josephson phase…

Superconductivity · Physics 2024-03-05 Shenglan Yuan

Bursting is a periodic transition between a quiescent state and a state of repetitive spiking. The phenomenon is ubiquitous in a variety of neurophysical systems. We numerically study the dynamical properties of a normal form of subcritical…

Chaotic Dynamics · Physics 2007-05-23 Gautam C Sethia , Abhijit Sen

Intensive computational and theoretical work has led to the development of mutliple mathematical models for bursting in respiratory neurons in the pre-B\"otzinger Complex (pre-B\"otC) of the mammalian brainstem. Nonetheless, these previous…

Neurons and Cognition · Quantitative Biology 2021-05-11 Muhammad U. Abdulla , Ryan S. Phillips , Jonathan E. Rubin

Adaptation to environmental change is a common property of biological systems. Cells initially respond to external changes in the environment, but after some time, they regain their original state. By considering an element consisting of…

Biological Physics · Physics 2015-05-13 Masayo Inoue , Kunihiko Kaneko

Currently we routinely develop a complex neuronal network to explain observed but often paradoxical phenomena based upon biological recordings. Here we present a general approach to demonstrate how to mathematically tackle such a complex…

Quantitative Methods · Quantitative Biology 2015-06-03 Yu Wu , Wenlian Lu , Wei Lin , Gareth Leng , Jianfeng Feng

Two parallel stacks of coupled Josephson junctions are investigated to clarify the physics of transitions between the rotating and oscillating states and their effect on the IV-characteristics of the system. The detailed study of phase…

Superconductivity · Physics 2014-08-08 Yu. M. Shukrinov , I. R. Rahmonov , A. Plecenik , M. Grajcar , P. Seidel , E. Il'ichev , W. Nawrocki

We report rare and recurrent large spiking events in a heterogeneous network of superconducting Josephson junctions (JJ) connected through a resistive load and driven by a radio-frequency (rf) current in addition to a constant bias. The…

Adaptation and Self-Organizing Systems · Physics 2020-03-18 Arnob Ray , Arindam Mishra , Dibakar Ghosh , Tomasz Kapitaniak , Syamal K. Dana , Chittaranjan Hens

We investigate the superconducting lifetime of long current-biased Josephson junctions, in the presence of Gaussian and non-Gaussian noise sources. In particular, we analyze the dynamics of a Josephson junction as a function of the noise…

Superconductivity · Physics 2015-06-22 Davide Valenti , Claudio Guarcello , Bernardo Spagnolo

We study the macroscopic dynamics of large networks of excitable type 1 neurons composed of two populations interacting with disparate but symmetric intra- and inter-population coupling strengths. This nonuniform coupling scheme facilitates…

Adaptation and Self-Organizing Systems · Physics 2021-03-17 Benjamin Jüttner , Christian Henriksen , Erik A. Martens

We investigate the dynamical properties of low dimensional systems, driven by external noise sources. Specifically we consider a resistively shunted Josephson junction and a one dimensional quantum liquid in a commensurate lattice…

Quantum Gases · Physics 2012-07-23 Emanuele G. Dalla Torre , Eugene Demler , Thierry Giamarchi , Ehud Altman

We provide a complete study of the phase diagram characterising the distinct dynamical regimes emerging in a three-dimensional Josephson junction in an ultracold quantum gas. Considering trapped ultracold superfluids separated into two…

Quantum Gases · Physics 2020-12-30 K. Xhani , L. Galantucci , C. F. Barenghi , G. Roati , A. Trombettoni , N. P. Proukakis

Bursting neurons are considered to be a potential cause of over-excitability and seizure susceptibility. The functional influence of these neurons in extended epileptic networks is still poorly understood. There is mounting evidence that…

Neurons and Cognition · Quantitative Biology 2016-10-07 Christian Geier , Alexander Rothkegel , Christian E. Elger , Klaus Lehnertz

Bosons with density-dependent hopping on a one dimensional lattice have been shown to emulate anyonic particles with fractional exchange statistics. Leveraging this, we construct a Josephson junction setup, where an insulating barrier in…

Quantum Physics · Physics 2025-07-29 Jessica John Britto

We show that \emph{stochastic bursting} is observed in a ring of unidirectional delay-coupled noisy excitable systems, thanks to the combinational action of time-delayed coupling and noise. Under the approximation of timescale separation,…

Disordered Systems and Neural Networks · Physics 2019-05-01 Chunming Zheng , Arkady Pikovsky

We describe a simple conductance-based model neuron that includes intra- and extra-cellular ion concentration dynamics and show that this model exhibits periodic bursting. The bursting arises as the fast spiking behavior of the neuron is…

Cell Behavior · Quantitative Biology 2011-09-22 Ernest Barreto , John R. Cressman

We study collective dynamics of complex networks of stochastic excitable elements, active rotators. In the thermodynamic limit of infinite number of elements, we apply a mean-field theory for the network and then use a Gaussian…

Chaotic Dynamics · Physics 2013-11-19 Bernard Sonnenschein , Michael A. Zaks , Alexander B. Neiman , Lutz Schimansky-Geier

We report a detailed analysis on the emergence of bursting in a recently developed neural mass model that takes short-term synaptic plasticity into account. The one being used here is particularly important, as it represents an exact…

Dynamical Systems · Mathematics 2021-09-15 Halgurd Taher , Daniele Avitabile , Mathieu Desroches

We study the dynamics of a Josephson junction connected to a dc current supply via a distributed parameter capacitor, which serves as a resonator. We reveal multistability in the current-voltage characteristic of the system; this…

Pattern Formation and Solitons · Physics 2018-02-07 Denis S. Goldobin , Lyudmila S. Klimenko
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