2 problems

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Conjecture on the connection of periodic-orbit families in case $VI_3^\epsilon$
Consider the regularized planar piecewise smooth system in case $VI_3^\epsilon$ , with the two families of periodic orbits obtained respectively in Proposition and Proposition. Peri…
Conjectureopencanard-explosion limit-cycles piecewise-smooth-systemsarXiv posted 2 days ago
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Persistence of canard connections for delayed equations
Persistence conjecture. Connections from the saddle fixed point to one of the stable fixed points should exist whenever
Conjectureopencanard-explosion delay-differential-equations dynamical-systemsarXiv posted 2 days ago

Conjecture on the connection of periodic-orbit families in case VI3ϵVI_3^\epsilonVI3ϵ​