Bursting synchronization in networks with long-range coupling mediated by a diffusing chemical substance

DOI10.1016/j.cnsns.2011.11.016zbMath1242.93107arXiv1109.3332OpenAlexW2011752008MaRDI QIDQ434844

J. Herrera, H. S. Yoon

Publication date: 16 July 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.3332

zbMATH Keywords

neuronal networksbursting neuronsbursting synchronization

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05)

Related Items (8)

Chaotic maps with nonlocal coupling: Lyapunov exponents, synchronization of chaos, and characterization of chimeras ⋮ Long-range interaction induced collective dynamical behaviors ⋮ Phase synchronization of coupled bursting neurons and the generalized Kuramoto model ⋮ Optimal control of directional deep brain stimulation in the parkinsonian neuronal network ⋮ Lyapunov spectrum of chaotic maps with a long-range coupling mediated by a diffusing substance ⋮ Pattern formation and Turing instability in an activator-inhibitor system with power-law coupling ⋮ Recurrence quantification analysis for the identification of burst phase synchronisation ⋮ Characterization of spatial patterns produced by a Turing instability in coupled dynamical systems

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• DELAYED FEEDBACK SUPPRESSION OF COLLECTIVE RHYTHMIC ACTIVITY IN A NEURONAL ENSEMBLE
• Chaos in Dynamical Systems

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