Titlebook: Stochastic Non-Excitable Systems with Time Delay; Modulation of Noise Paul M. Geffert Book 2015 Springer Fachmedien Wiesbaden 2015 Coheren

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Stochastic effects in nonlinear systems,o exhibit oscillatory properties. The Hodgkin-Huxley model [46] and the FitzHughNagumo model [47, 48] belong to the most famous models to describe the dynamics of neurons. The FitzHugh-Nagumo model is used more widely, because the calculations for large networks of neurons are easier to handle with

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Outlook,hods to other network motifs (three or four coupled oscillators with directed or undirected coupling) or even large networks to find similar results for some general statements. Different network topologies or coupling schemes could be studied to find out whether and how the noise effects are affect

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Stochastic effects in nonlinear systems, dynamics of neurons. The FitzHugh-Nagumo model is used more widely, because the calculations for large networks of neurons are easier to handle with this system. It is also the prototype of an excitable system [49].

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Conclusion,ability analysis for the deterministic equation. Then we turned on the noise and derived the stationary probability distribution for the amplitude. By changing the noise intensity, a stochastic P-bifurcation occurred for the subcritical Hopf normal form. We showed that no stochastic P-bifurcation takes place in the supercritical case.

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2625-3577 y in non-excitable nonlinear systems and the modulation of stochastic effects. In particular, the author studies coherence resonance, which is a constructive effect of noise that occurs in nonlinear systems, and demonstrates that it can be modulated by time-delayed feedback. Analytical methods for t

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