Stochastic effects in nonlinear systems

  • Paul M. Geffert
Part of the BestMasters book series (BEST)


Oscillations are a frequently studied phenomenon in science. Examples of this widespread behaviour range from economy to natural sciences. Neurons also 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 this system. It is also the prototype of an excitable system [49].


Power Spectral Density Hopf Bifurcation Noise Intensity Stable Limit Cycle Noise Strength 
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Copyright information

© Springer Fachmedien Wiesbaden 2015

Authors and Affiliations

  1. 1.LondonUnited Kingdom

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