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math.DS2025
Minimal points and non-holonomic controllability on compact manifolds
Sergey Kryzhevich, Eugene Stepanov
We study the problem of non-holonomic point-to-point controllability for ODEs with drift possessing some recursion property of the flow (nonwandering or chain recurrence) and satis…
math.DS2025
Chow and Rashevskii meet Sobolev
Sergey Kryzhevich, Eugene Stepanov, Dario Trevisan
We prove a weak version of the Chow-Rashevskii theorem for vector fields having only Sobolev regularity and generating suitable flows as selections of solutions to the respective O…