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nlin.PS2026
Nonuniform relaxation oscillations near SNIPER bifurcations
Edgar Knobloch, Arik Yochelis
Properties of spatially dependent relaxation oscillations near a SNIPER bifurcation are described. A SNIPER bifurcation creates a large-amplitude long-period periodic orbit via the…
nlin.PS2026
Localized spatiotemporal reaction-diffusion patterns on a line and a disk arising from a subcritical finite wavenumber Hopf instability
Edgar Knobloch, Saar O. Modai, Hannes Uecker +1
Spatiotemporal localized and extended structures associated with a subcritical finite wavenumber Hopf bifurcation are studied in the Purwins model (a three-variable FitzHugh-Nagumo…
nlin.PS2020
Origin, bifurcation structure and stability of localized states in Kerr dispersive optical cavities
P. Parra-Rivas, E. Knobloch, L. Gelens +1
Localized coherent structures can form in externally-driven dispersive optical cavities with a Kerr-type nonlinearity. Such systems are described by the Lugiato-Lefever equation, w…