Unstable attractors induce perpetual synchronization and desynchronization

DOI10.1063/1.1501274zbMath1080.37547arXivcond-mat/0209432OpenAlexW1982138679WikidataQ52019108 ScholiaQ52019108MaRDI QIDQ5706355

Marc Timme, F. Wolf, Theo Geisel

Publication date: 7 November 2005

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0209432

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (8)

Mathematical frameworks for oscillatory network dynamics in neuroscience ⋮ Unstable attractors: existence and stability indices ⋮ Designing complex networks ⋮ From coupled networks of systems to networks of states in phase space ⋮ Controlled generation of switching dynamics among metastable states in pulse-coupled oscillator networks ⋮ Speed of synchronization in complex networks of neural oscillators: Analytic results based on Random Matrix Theory ⋮ Isochronous dynamics in pulse coupled oscillator networks with delay ⋮ Breakdown of order preservation in symmetric oscillator networks with pulse-coupling

Cites Work

• On the concept of attractor
• Collective synchronization of pulse-coupled oscillators and excitable units
• On riddling and weak attractors
• Exact digital simulation of time-invariant linear systems with applications to neuronal modeling
• Similar NonLeaky Integrate-and-Fire Neurons with Instantaneous Couplings Always Synchronize
• Synchronization of Pulse-Coupled Biological Oscillators
• Roads to turbulence in dissipative dynamical systems
• Neural networks and physical systems with emergent collective computational abilities.
• Exploring complex networks

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