Solitary states and solitary state chimera in neural networks

DOI10.1063/1.5113789zbMath1420.34078OpenAlexW2965783989WikidataQ92345030 ScholiaQ92345030MaRDI QIDQ5232995

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Publication date: 13 September 2019

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5113789

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (8)

Role of solitary states in forming spatiotemporal patterns in a 2D lattice of van der Pol oscillators ⋮ Solitary states in multiplex neural networks: onset and vulnerability ⋮ Interplay between solitary states and chimeras in multiplex neural networks ⋮ Controlling chimera and solitary states by additive noise in networks of chaotic maps ⋮ The paths of nine mathematicians to the realm of dynamical systems ⋮ Spatiotemporal patterns in a 2D lattice with linear repulsive and nonlinear attractive coupling ⋮ Neuronal synchronization in long-range time-varying networks ⋮ Synchronization scenarios in three-layer networks with a hub

Cites Work

• Mechanism of realizing a solitary state chimera in a ring of nonlocally coupled chaotic maps
• ``Coherence-incoherence transition in ensembles of nonlocally coupled chaotic oscillators with nonhyperbolic and hyperbolic attractors
• Time-delayed feedback control of coherence resonance chimeras
• New type of chimera and mutual synchronization of spatiotemporal structures in two coupled ensembles of nonlocally interacting chaotic maps
• Solitary states for coupled oscillators with inertia
• Synchronization
• Weak multiplexing in neural networks: Switching between chimera and solitary states
• Coherence resonance in a network of FitzHugh-Nagumo systems: Interplay of noise, time-delay, and topology
• Unnamed Item

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