4 papers
On Planar Shadowing Curves to Closed Escaping Curves
Qiaoling Wei, Meirong Zhang
We introduce a new dynamical system model called the shadowing problem, where a shadower chases after an escaper by always staring at and keeping the distance from him. When the es…
Twist automorphisms and Poisson structures
Yoshiyuki Kimura, Fan Qin, Qiaoling Wei
We introduce (quantum) twist automorphisms for upper cluster algebras and cluster Poisson algebras with coefficients. Our constructions generalize the twist automorphisms for quant…
Elliptic fixed points with an invariant foliation: Some facts and more questions
Alain Chenciner, David Sauzin, Shanzhong Sun +1
We address the following question: let F:(R^2,0)->(R^2,0) be an analytic local diffeomorphism defined in the neighborhood of the non resonant elliptic fixed point 0 and let Φbe a f…
Front tracking and iterated minmax for Hamilton-Jacobi equation in one space variable
Qiaoling Wei
The viscosity solution of the Hamilton-Jacobi equation was constructed by an "iterated minimax" procedure. Using Dafermos' front tracking method, we give another proof of this cons…