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For networks of pulse-coupled oscillators with delayed excitatory coupling, we analyze the firing behaviors depending on coupling strength and transmission delay. The parameter space consisting of strength and delay is partitioned into two…

Dynamical Systems · Mathematics 2008-10-28 Wei Wu , Tianping Chen

We have developed an effective mathematical model to calculate the coherent population trapping (CPT) resonance in periodically modulated light, when the modulation frequency $f$ varies near the fractional part of hyperfine splitting in the…

Atomic Physics · Physics 2025-05-29 V. I. Yudin , M. Yu. Basalaev , A. V. Taichenachev , O. N. Prudnikov

We propose Local Dirac Synchronization which uses the Dirac operator to capture the dynamics of coupled nodes and link signals on an arbitrary network. In Local Dirac Synchronization, the harmonic modes of the dynamics oscillate freely…

Disordered Systems and Neural Networks · Physics 2023-03-29 Lucille Calmon , Sanjukta Krishnagopal , Ginestra Bianconi

Which statistical features of spiking activity matter for how stimuli are encoded in neural populations? A vast body of work has explored how firing rates in individual cells and correlations in the spikes of cell pairs impact coding. But…

Neurons and Cognition · Quantitative Biology 2014-12-02 Alex Cayco-Gajic , Joel Zylberberg , Eric Shea-Brown

Functional connectivity is a fundamental property of neural networks that quantifies the segregation and integration of information between cortical areas. Due to mathematical complexity, a theory that could explain how the parameters of…

Neurons and Cognition · Quantitative Biology 2016-05-27 Diego Fasoli , Anna Cattani , Stefano Panzeri

The functional significance of correlations between action potentials of neurons is still a matter of vivid debates. In particular it is presently unclear how much synchrony is caused by afferent synchronized events and how much is…

Neurons and Cognition · Quantitative Biology 2013-04-09 Matthias Schultze-Kraft , Markus Diesmann , Sonja Grün , Moritz Helias

Concatenation is a method of building long codes out of shorter ones, it attempts to meet the problem of decoding complexity by breaking the required computation into manageable segments. Concatenated Continuous Phase Frequency Shift Keying…

Information Theory · Computer Science 2011-05-24 Labib Francis Gergis

Energy consumption remains the main limiting factors in many IoT applications. In particular, micro-controllers consume far too much power. In order to overcome this problem, new circuit designs have been proposed and the use of spiking…

Neural and Evolutionary Computing · Computer Science 2023-11-20 Guillaume Marthe , Claire Goursaud , Romain Cazé , Laurent Clavier

A widely accepted view of computations in the brain relies on population coding, where the neural ensemble firing rate is modulated in a stable manner to transmit information and perform various cognitive tasks. At the same time,…

Neurons and Cognition · Quantitative Biology 2020-05-27 Nikita Novikov , Boris Gutkin

We investigate two discrete models of excitable media on a one-dimensional integer lattice $\mathbb{Z}$: the $\kappa$-color Cyclic Cellular Automaton (CCA) and the $\kappa$-color Firefly Cellular Automaton (FCA). In both models, sites are…

Probability · Mathematics 2024-07-09 Ander Aguirre , Hanbaek Lyu , David Sivakoff

We report the phenomenon of frequency clustering in a network of Hodgkin-Huxley neurons with spike timing-dependent plasticity. The clustering leads to a splitting of a neural population into a few groups synchronized at different…

Adaptation and Self-Organizing Systems · Physics 2019-12-20 Vera Röhr , Rico Berner , Ewandson L. Lameu , Oleksandr V. Popovych , Serhiy Yanchuk

We study numerically the development of chimera states in networks of nonlocally coupled oscillators whose limit cycles emerge from a Hopf bifurcation. This dynamical system is inspired from population dynamics and consists of three…

Synchronization is an important collective phenomenon in interacting oscillatory agents. Many functional features of the brain are related to synchronization of neurons. The type of synchronization transition that may occur (explosive vs.…

Disordered Systems and Neural Networks · Physics 2020-03-18 Mahsa Khoshkhou , Afshin Montakhab

We show that a cumulative action of noise and delayed feedback on an excitable theta-neuron leads to rather coherent stochastic bursting. An idealized point process, valid if the characteristic time scales in the problem are well-separated,…

Statistical Mechanics · Physics 2018-11-07 Chunming Zheng , Arkady Pikovsky

Synchronization across long neural distances is a functionally important phenomenon. In order to access the mechanistic basis of long-range synchrony, we constructed an experimental model that enables monitoring of spiking activities over…

Neurons and Cognition · Quantitative Biology 2018-02-23 Hanna Keren , Shimon Marom

A regime of coexistence of asynchronous and clustered dynamics is analyzed for globally coupled homogeneous and heterogeneous inhibitory networks of quadratic integrate-and-fire (QIF) neurons subject to Gaussian noise. The analysis is based…

Disordered Systems and Neural Networks · Physics 2025-05-29 Yannick Feld , Alexander K. Hartmann , Alessandro Torcini

We investigate the coexistence of orthogonal time-frequency space (OTFS) modulation with current fourth- and fifth-generation (4G/5G) communication systems that primarily use orthogonal frequency-division multiplexing (OFDM) waveforms. We…

Signal Processing · Electrical Eng. & Systems 2024-10-23 Akram Shafie , Jinhong Yuan , Paul Fitzpatrick , Taka Sakurai , Yuting Fang

Following a short report of our preliminary results [Phys. Rev. E 79, 055203(R) (2009)], we present a more detailed study of the effects of coupling delay in diffusively coupled phase oscillator populations. We find that coupling delay…

Adaptation and Self-Organizing Systems · Physics 2015-05-18 Jane H. Sheeba , V. K. Chandrasekar , M. Lakshmanan

Several multi-core fibers (MCF) were characterized using Correlation Optical Time Domain Reflectometry (C-OTDR) in terms of propagation delay and polarization mode dispersion (PMD). The results show that the propagation delay in the cores…

Signal Processing · Electrical Eng. & Systems 2020-11-26 Florian Azendorf , Annika Dochhan , Florian Spinty , Mirko Lawin , Bernhard Schmauss , Michael Eiselt

The effect of intrinsic channel noise is investigated for the dynamic response of a neuronal cell with a delayed feedback loop. The loop is based on the so-called autapse phenomenon in which dendrites establish not only connections to…

Biological Physics · Physics 2014-12-22 Yunyun Li , Gerhard Schmid , Peter Hanggi , Lutz Schimansky-Geier
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