3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.DS2026
Local interaction of two systems with saddle-node bifurcations: mutualistic and mixed cases
Peter Ashwin, Claire Postlethwaite, Jan Sieber
The saddle-node bifurcation is the simplest example of a generic bifurcation in smooth ordinary differential equations, and is associated with the creation or destruction of a pair…
math.DS2024
Transients versus network interactions give rise to multistability through trapping mechanism
Kalel L. Rossi, Everton S. Medeiros, Peter Ashwin +1
In networked systems, the interplay between the dynamics of individual subsystems and their network interactions has been found to generate multistability in various contexts. Desp…
math.DS2024★ 3 cited
Global bifurcations organizing weak chimeras in three symmetrically coupled Kuramoto oscillators with inertia
Peter Ashwin, Christian Bick
Frequency desynchronized attractors cannot appear in identically coupled symmetric phase oscillators because "overtaking" of phases cannot occur. This restriction no longer applies…