| Abstract: |
| It is well known that there exist no non-trivial periodic solutions for classical Hamilton-Jacobi equations. Combining the weak KAM method for contact Hamiltonian systems with the viscosity solution theory of the Hamilton-Jacobi equation, we have recently investigated the problem of time periodic solutions for contact Hamilton-Jacobi equations. Under certain conditions, quasi-periodic solutions and almost periodic solutions can also emerge. Furthermore, we have explored the chaotic nature of the large time behavior of the solutions. |
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