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math.DS2024
Essential dynamics in chaotic attractors
Eran Igra
We prove that if a smooth vector field of generates a sufficiently complicated heteroclinic knot, the flow also generates infinitely many periodic orbits, which persist u…
math.DS2024
Removable dynamics in the Nose-Hoover and Moore-Spiegel Oscillators
Eran Igra
We study the dynamics of the Nose-Hoover and Moore-Spiegel Oscillators, and in particular, their topological dynamics. We prove the dynamics of both these systems can be reduced to…