Regularization of Synchronized Chaotic Bursts

Abstract

The onset of regular bursts in a group of irregularly bursting neurons with different individual properties is one of the most interesting dynamical properties found in neurobiological systems. In this paper we show how synchronization among chaotically bursting cells can lead to the onset of regular bursting. In order to clearly present the mechanism behind such regularization we model the individual dynamics of each cell with a simple two-dimensional map that produces chaotic bursting behavior similar to biological neurons.

4 pages

Cited by in corpus (54)

• Modeling of Spiking-Bursting Neural Behavior Using Two-Dimensional Map
• Synchronous bursts on scale-free neuronal networks with attractive and repulsive coupling
• Synchronization transitions on scale-free neuronal networks due to finite information transmission delays
• Delay-induced multiple stochastic resonances on scale-free neuronal networks
• Chimera states in bursting neurons
• A simple adaptive-feedback controller for high-quality chaos synchronization
• Subthreshold oscillations in a map-based neuron model
• Chaotic oscillations in a map-based model of neural activity
• A Brief History of Excitable Map-Based Neurons and Neural Networks
• From modular to centralized organization of synchronization in functional areas of the cat cerebral cortex
• Chimera states in two-dimensional networks of locally coupled oscillators
• Reservoir Computing with Diverse Timescales for Prediction of Multiscale Dynamics
• Energy efficiency of information transmission by electrically coupled neurons
• Effects of correlated Gaussian noise on the mean firing rate and correlations of an electrically coupled neuronal network
• How Noise and Coupling Induce Bursting Action Potentials in Pancreatic beta-cells
• Autonomous Bursting in a Homoclinic System
• Fractal Dimension Estimation with Persistent Homology: A Comparative Study
• Asymmetry--induced effects in coupled phase oscillator ensembles: Routes to synchronization
• On the emergence of complex systems on the basis of the coordination of complex behaviors of their elements
• Nonlinear delayed forcing drives a non-delayed Duffing oscillator
• Dynamics of stick-slip in peeling of an adhesive tape
• Transmitted resonance in a coupled system
• Controlling the bursting size in the two-dimensional Rulkov model
• Symbolic analysis of bursting dynamical regimes of Rulkov neural networks
• Corticothalamic projections control synchronization in locally coupled bistable thalamic oscillators
• Coherence resonance in models of an excitable neuron with both fast and slow dynamics
• Periodic Phase Synchronization in coupled chaotic oscillators
• Revealing dynamics, communities and criticality from data
• Topological-numerical analysis of a two-dimensional discrete neuron model
• Noise-enhanced nonlinear response and the role of modular structure for signal detection in neuronal networks
• Glucose metabolism and oscillatory behavior of pancreatic islets
• Emergence of chaotic attractor and anti-synchronization for two coupled monostable neurons
• Desynchronization in an ensemble of globally coupled chaotic bursting neuronal oscillators by dynamic delayed feedback control
• Asymmetric coupling of nonchaotic Rulkov neurons: Fractal attractors, quasimultistability, and final state sensitivity
• Fourier analysis of a delayed Rulkov neuron network
• Global Attractors for Hindmarsh-Rose Equations in Neurodynamics
• Adaptive Exponential Integrate-and-Fire Model with Fractal Extension
• Complex transitions between spiking, bursting and silent regimes in a new memristive Rulkov neuronal model
• Beat Frequency Induced Transitions in Synchronization Dynamics
• Synchronization on fast and slow dynamics in drive-response systems
• Random Attractor for Stochastic Hindmarsh-Rose Equations with Multiplicative Noise
• Hyperchaos and complex dynamical regimes in $N$-dimensional neuron lattices
• Global synchronization of bursting neurons in clustered networks
• Devil's staircase inside shrimp-shaped regions reveals periodicity of plateau spikes and bursts
• Chaotic Dynamics and Fractal Geometry in Ring Lattice Systems of Nonchaotic Rulkov Neurons
• Phase synchronization of coupled bursting neurons and the generalized Kuramoto model
• Analysis of a map-based neuronal model
• How synapses can enhance sensibility of a neural network
• Two distinct desynchronization processes caused by lesions in globally coupled neurons
• Synchronised firing patterns in a random network of adaptive exponential integrate-and-fire
• From collective rhythm to adaptive synchronization
• Interplay of coupling and forcing: Coherence in a nonlinear delayed oscillator
• Global Dynamics of Nonautonomous Hindmarsh-Rose Equations
• Network induces burst synchronisation in cat brain