Topological degree in analysis of canard-type trajectories in 3-D systems
Alexei Pokrovskii, Dmitrii Rachinskii, Vladimir Sobolev, Andrew, Zhezherun
TL;DR
This paper introduces conditions for the existence of stable periodic canard solutions in non-smooth 3-D slow-fast systems, advancing understanding of complex dynamical behaviors.
Contribution
It provides new sufficient conditions for topologically stable canard trajectories in non-smooth three-dimensional systems.
Findings
Established criteria for stable canard solutions
Extended analysis to non-smooth systems
Enhanced understanding of slow-fast dynamics
Abstract
We propose sufficient conditions for existence of topologically stable periodic canard solutions in non-smooth slow-fast systems.
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Taxonomy
TopicsNonlinear Differential Equations Analysis · Advanced Differential Equations and Dynamical Systems · Mathematical and Theoretical Epidemiology and Ecology Models