12 citations · 22 across the 8 of their papers we have counts for
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math.DS2019★ 12 cited
Resonant Tori, Transport Barriers, and Chaos in a Vector Field with a Neimark-Sacker Bifurcation
Emmanuel Fleurantin, Jason D. Mireles James
We make a detailed numerical study of a three dimensional dissipative vector field derived from the normal form for a cusp-Hopf bifurcation. The vector field exhibits a Neimark-Sac…
math.DS2019★ 4 cited
Computer Assisted Proofs of Attracting Invariant Tori for ODEs
Maciej J. Capinski, Emmanuel Fleurantin, Jason D. Mireles James
This work studies existence and regularity questions for attracting invariant tori in three dimensional dissipative systems of ordinary differential equations. Our main result is a…