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arxiv: 2412.20658 · v1 · pith:3AFU6HVBnew · submitted 2024-12-30 · 🧮 math.DS · math.AP

Dynamics of globally minimizing orbits in contact Hamiltonian systems

classification 🧮 math.DS math.AP
keywords orbitsgloballyminimizingcontacthamiltoniansystemsassumptionsasymptotic
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In this paper, we study the asymptotic behavior of globally minimizing orbits of contact Hamiltonian systems. Under some assumptions, we prove that the $\omega$-limit set of globally minimizing orbits is contained in the set of semi-static orbits.

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