activity
20052023
most citedChaotic dynamics of three-dimensional Hénon maps that originate from a homoclinic bifurcation

56 citations · 79 across the 10 of their papers we have counts for

collaborators
Showing nlin.CDShow all

2 papers · 1 filter

nlin.CD2014

Bifurcation to Chaos in the complex Ginzburg-Landau equation with large third-order dispersion

I. I. Ovsyannikov, D. Turaev, S. Zelik

We give an analytic proof of the existence of Shilnikov chaos in complex Ginzburg-Landau equation subject to a large third-order dispersion perturbation.

nlin.CD2005★ 56 cited

Chaotic dynamics of three-dimensional Hénon maps that originate from a homoclinic bifurcation

S. V. Gonchenko, J. D. Meiss, I. I. Ovsyannikov

We study bifurcations of a three-dimensional diffeomorphism, , that has a quadratic homoclinic tangency to a saddle-focus fixed point with multipliers $(λe^{i\vphi}, λe^{-i\vp…