Subcritical Hopf Bifurcations in the FitzHugh-Nagumo Model
arXiv:2002.09588 · doi:10.1103/PhysRevE.102.012212
Abstract
It had been shown that the transition from a rigidly rotating spiral wave to a meandering spiral wave is via a Hopf bifurcation. Many studies have shown that these bifurcations are supercritical, but we present numerical studies which show that subcritical bifurcations are also present within FitzHugh-Nagumo. Furthermore, we present a evidence that this bifurcation is highly sensitive to initial conditions, and it is possible to convert one solution in the hysteresis loop to the other.
arXiv comment12 pages, 9 figures
References in corpus (7)
- Computation of the response functions of spiral waves in active media
- Spiral wave drift in an electric field and scroll wave instabilities
- Low energy defibrillation in human cardiac tissue: a simulation study
- Riding a Spiral Wave: Numerical Simulation of Spiral Waves in a Co-Moving Frame of Reference
- Alternative Stable Scroll Waves and Conversion of Autowave Turbulence
- The large core limit of spiral waves in excitable media: A numerical approach
- Drift and Meander of Spiral Waves