论文标题
KAM圆环的变分吸引人在形式符号系统中
Variational attraction of the KAM torus for the conformally symplectic system
论文作者
论文摘要
对于共同形式符号系统\ [\ left \ {\ strak {Aligned} \ dot {q}＆= h_p（q，p），\ quad（q，p）\ in t^*\ mathbb { \正确的。 \ \]以正定的哈密顿量，我们讨论了不变的拉格朗日图的变化意义，并解释了kaM torus如何影响$ w^{1，\ infty} - $ $ oleinik semigroup的收敛速度。
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 positive definite Hamiltonian, we discuss the variational significance of invariant Lagrangian graphs and explain how the KAM torus impacts the $W^{1,\infty}-$convergence speed of the Lax-Oleinik semigroup.
