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math.DS2026
Algebraic Conjugacy of Linear Flows on Connected Lie Groups
S. N. Stelmastchuk
We study algebraic conjugacy of linear flows on connected Lie groups. To each linear flow we associate a derivation of the Lie algebra, and we analyze how the conjugacy problem can…
math.OC2026
Vertical Control Systems on Tangent Bundles and Fiberwise Controllability
S. N. Stelmastchuk
We study control systems on the tangent bundle of a smooth manifold induced by vertical lifts of vector fields. The Vertical dynamics acts exclusively along the fibers, leaving the…