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math.DS2020
Variational attraction of the KAM torus for the conformally symplectic system
Liang Jin, Jianlu Zhang, Kai Zhao
For the conformally symplectic system \[ \left\{ \begin{aligned} \dot{q}&=H_p(q,p),\quad(q,p)\in T^*\mathbb{T}^n\\ \dot p&=-H_q(q,p)-λp, \quad λ>0 \end{aligned} \right. \] with a p…
math.DS2020★ 4 cited
Smooth subsolutions of the discounted Hamilton-Jacobi equations
Xiyao Huang, Liang Jin, Jianlu Zhang +1
For the discounted Hamilton-Jacobi equation,we construct subsolutions which are indeed solutions on the projected Aubry set. The smoothnes…