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math.DS2026
When Entropy flows: drifting along the route to Chaos
Eran Igra, Valerii Sopin, Yanghong Yu
Consider a smooth one-parameter family of vector fields defined over some smooth manifold transitions from order into chaos. Inspired by the Second law of Thermodynamics, one is le…
math.DS2024
Transition Matrix without Continuation in the Conley Index Theory
Yanghong Yu
Given a one-parameter family of flows over a parameter interval , assuming there is a continuation of Morse decompositions over , Reineck defined a singular transition matr…