18 citations · 31 across the 4 of their papers we have counts for
4 papers
Bifurcations and multistability in empirical mutualistic networks
Andrus Giraldo, Deok-Sun Lee
Individual species may experience diverse outcomes, from prosperity to extinction, in an ecological community subject to external and internal variations. Despite the wealth of the…
Cascades of Global Bifurcations and Chaos near a Homoclinic Flip Bifurcation: A Case Study
Andrus Giraldo, Bernd Krauskopf, Hinke M. Osinga
We study a homoclinic flip bifurcation of case~\textbf{C}, where a homoclinic orbit to a saddle equilibrium with real eigenvalues changes from being orientable to nonorientable. Th…
Saddle Invariant Objects and their Global Manifolds in a Neighborhood of a Homoclinic Flip Bifurcation of Case B
Andrus Giraldo, Bernd Krauskopf, Hinke M. Osinga
When a real saddle equilibrium in a three-dimensional vector field undergoes a homoclinic bifurcation, the associated two-dimensional invariant manifold of the equilibrium closes o…
Pulse-adding of Temporal Dissipative Solitons: Resonant Homoclinic Points and the Orbit Flip of Case B with Delay
Andrus Giraldo, Stefan Ruschel
We numerically investigate the branching of temporally localized, two-pulse periodic traveling waves from one-pulse periodic traveling waves with non-oscillating tails in delay dif…