Stationary States in Infinite Networks of Spiking Oscillators with Noise
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Summary
It is found that the stationary network activity depends for some response functions monotonically and for others nonmonotonically on the coupling and noise strength, and in all cases a sufficiently strong noise localizes the stationary state, and simulations suggest this stability to be global.
- Type
- article
- Published
- 2013-03-12
- Cited by
- 2
- References
- 59
- OpenAlex
- https://openalex.org/W1964345004
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:1396050
Keywords
White noise, Mathematics, Limit cycle, Hopf bifurcation, Noise (video)
References
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- Quantum Mechanics and Path Integrals
- Numerical Analysis
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- Numerical evaluation of path-integral solutions to Fokker-Planck equations. III. Time and functionally dependent coefficients.
- Über die Nullstellen gewisser ganzer Funktionen
- Spatially structured networks of pulse-coupled phase oscillators on metric spaces
- Dynamical Aspects of Mean Field Plane Rotators and the Kuramoto Model
- The Fokker-Planck Equation: Methods of Solution and Applications
- Synchrony in Excitatory Neural Networks
- Phase diagram for the Winfree model of coupled nonlinear oscillators.
- Biological rhythms and the behavior of populations of coupled oscillators.
- Nonlinear stability of incoherence and collective synchronization in a population of coupled oscillators
- Asynchronous states in networks of pulse-coupled oscillators.
- Low dimensional behavior of large systems of globally coupled oscillators.
- Finite-size effects in a population of interacting oscillators
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