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math.DS2025
On the dynamics of contact Hamiltonian systems II: Variational construction of asymptotic orbits
Liang Jin, Jun Yan, Kai Zhao
This paper is a continuation of our study of the dynamics of contact Hamiltonian systems in \cite{JY}, but without monotonicity assumption. Due to the complexity of general cases,…
math.DS2024
Dynamics of globally minimizing orbits in contact Hamiltonian systems
Yang Xu, Jun Yan, Kai Zhao
In this paper, we study the asymptotic behavior of globally minimizing orbits of contact Hamiltonian systems. Under some assumptions, we prove that the -limit set of globally m…