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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…

动力系统 · 数学 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…

原子物理 · 物理学 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…

无序系统与神经网络 · 物理学 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…

神经元与认知 · 定量生物学 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…

神经元与认知 · 定量生物学 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…

神经元与认知 · 定量生物学 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…

信息论 · 计算机科学 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…

神经与进化计算 · 计算机科学 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,…

神经元与认知 · 定量生物学 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…

概率论 · 数学 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…

适应与自组织系统 · 物理学 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.…

无序系统与神经网络 · 物理学 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,…

统计力学 · 物理学 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…

神经元与认知 · 定量生物学 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…

无序系统与神经网络 · 物理学 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…

信号处理 · 电气工程与系统科学 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…

适应与自组织系统 · 物理学 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…

信号处理 · 电气工程与系统科学 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…

生物物理 · 物理学 2014-12-22 Yunyun Li , Gerhard Schmid , Peter Hanggi , Lutz Schimansky-Geier