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math.DS2010
Blow Up of a Cycle in Lotka-Volterra Type Equations with Competition-Cooperation Terms and Quasi-Linear Systems
E. Bouse, D. Rachinskii
We consider systems where a cycle born via the Hopf bifurcation blows up to infinity as a parameter ranges over a finite interval. Two examples demonstrating this effect are presen…
math.DS2010
Topological degree in analysis of canard-type trajectories in 3-D systems
Alexei Pokrovskii, Dmitrii Rachinskii, Vladimir Sobolev +1
We propose sufficient conditions for existence of topologically stable periodic canard solutions in non-smooth slow-fast systems.