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A piecewise continuous map for modeling bursting and spiking behaviour of isolated neuron is proposed. The map was created from phenomenological viewpoint. The map demonstrates oscillations, which are qualitatively similar to oscillations…

Chaotic Dynamics · Physics 2007-05-23 K. V. Andreev , L. V. Krasichkov

Recent experiments have highlighted how collective dynamics in networks of brain regions affect behavior and cognitive function. In this paper we show that a simple, homogeneous system of densely connected oscillators representing the…

Pattern Formation and Solitons · Physics 2013-05-31 Rajeev Singh , Shakti N. Menon , Sitabhra Sinha

Cellular decision-making (CDM) is a dynamic phenomenon often controlled by regulatory networks defining interactions between genes and transcription factor proteins. Traditional studies have focussed on molecular switches such as positive…

Molecular Networks · Quantitative Biology 2024-04-09 Akriti Srivastava , Mubasher Rashid

Among the versatile forms of dynamical patterns of activity exhibited by the brain, oscillations are one of the most salient and extensively studied, yet are still far from being well understood. In this paper, we provide various structural…

Systems and Control · Electrical Eng. & Systems 2021-08-12 Erfan Nozari , Robert Planas , Jorge Cortes

The Quasi-Biennial Oscillation (QBO) of stratospheric winds is the most striking example of mean-flow generation and reversal by the non-linear interactions of internal waves. Previous studies have used an idealized monochromatic forcing to…

Fluid Dynamics · Physics 2020-12-30 Pierre Léard , Daniel Lecoanet , Michael Le Bars

For future quantum technologies the combination of a long quantum state lifetime and an efficient interface with external optical excitation are required. In solids, the former is for example achieved by individual spins, while the latter…

Properties of spatially dependent relaxation oscillations near a SNIPER bifurcation are described. A SNIPER bifurcation creates a large-amplitude long-period periodic orbit via the annihilation of a pair of fixed points in a saddle-node…

Pattern Formation and Solitons · Physics 2026-05-13 Edgar Knobloch , Arik Yochelis

Scanning micro-mirror actuators are silicon-based oscillatory micro-electro-mechanical systems (MEMS). They enable laser distance measurements for automotive LIDAR applications as well as projection modules for the consumer market. For MEMS…

Mesoscale and Nanoscale Physics · Physics 2019-03-21 Ulrike Nabholz , Frank Schatz , Jan E. Mehner , Peter Degenfeld-Schonburg

Hybrid oscillator architectures that combine feedback oscillators with self-sustained negative resistance oscillators have emerged as a promising platform for artificial neuron design. In this work, we introduce a modeling and analysis…

Chemical Physics · Physics 2025-08-04 Gonzalo Rivera-Sierra , Roberto Fenollosa , Juan Bisquert

We present numerical simulations of binary neutron star mergers, comparing irrotational binaries to binaries of NSs rotating aligned to the orbital angular momentum. For the first time, we study spinning BNSs employing nuclear physics…

General Relativity and Quantum Cosmology · Physics 2015-04-10 Wolfgang Kastaun , Filippo Galeazzi

We experimentaly investigate higher-order seeded modulation instability in an optical fiber experiment. The recirculating loop configuration with round-trip losses compensation enables the observation in single-shot of the spatio-temporal…

Optics · Physics 2022-07-27 François Copie , Pierre Suret , Stéphane Randoux

Interpreting the oscillations of massive and intermediate mass stars remains a challenging task. In fast rotators, the oscillation spectrum of p-modes is a superposition of sub-spectra which correspond to different types of modes, among…

Solar and Stellar Astrophysics · Physics 2019-11-26 Benjamin Evano , François Lignières , Bertrand Georgeot

In many real-world systems, partial synchronization is the dominant dynamical regime and, in systems such as the brain, is often accompanied by collective oscillations in which multiple overlapping modes interact to produce complex rhythmic…

Adaptation and Self-Organizing Systems · Physics 2026-03-03 Ali Seif , Mina Zarei

Subthreshold oscillations in neurons are those oscillations which do not attain the critical value of the membrane's voltage needed for triggering an action potential (a spike). Their contribution to the forming of action potentials in…

Dynamical Systems · Mathematics 2024-03-22 G. Moza , R. Efrem

Using Brillouin light scattering microscopy, we study the rich dynamics in magnetic disks and rings governed by non-linear interactions, focusing on the role of vortex core dynamics on the spin-wave eigenmode spectrum. By strongly exciting…

Mesoscale and Nanoscale Physics · Physics 2025-01-10 Christopher Heins , Attila Kákay , Joo-Von Kim , Gregor Hlawacek , Jürgen Fassbender , Katrin Schultheiss , Helmut Schultheiss

We study the relationship between the modularity of scale-free excitable networks and their ability to support self-sustained oscillation patterns. We find that the probability for a network of given degree-distribution exponent to be able…

Physics and Society · Physics 2018-11-19 Jason Danison , Miguel Perez

The saddle-node bifurcation on an invariant circle (SNIC) is one of the codimension-one routes to creation or destruction of a periodic orbit in a continuous-time dynamical system. It governs the transition from resting behaviour to…

Dynamical Systems · Mathematics 2015-06-17 Claude Baesens , Robert S. MacKay

Oscillatory reconnection is a time-dependent magnetic reconnection mechanism that naturally produces periodic outputs from aperiodic drivers. This paper aims to quantify and measure the periodic nature of oscillatory reconnection for the…

Solar and Stellar Astrophysics · Physics 2012-12-06 J. A. McLaughlin , J. O. Thurgood , D. MacTaggart

Recent computational investigations in polymeric and non-polymeric binary mixtures have reported anomalous relaxation features when both components exhibit very different mobilities. Anomalous relaxation is characterized by sublinear power…

Soft Condensed Matter · Physics 2015-06-25 Angel J. Moreno , Juan Colmenero

We study in this paper the effect of an unique initial stimulation on random recurrent networks of leaky integrate and fire neurons. Indeed given a stochastic connectivity this so-called spontaneous mode exhibits various non trivial…

Neural and Evolutionary Computing · Computer Science 2007-05-23 H. Soula , G. Beslon , O. Mazet