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math.DS2018
Numerical invariant tori of symplectic integrators for integrable Hamiltonian systems
Zhaodong Ding, Zaijiu Shang
In this paper, we study the persistence of invariant tori of integrable Hamiltonian systems satisfying Rüssmann's non-degeneracy condition when symplectic integrators are applied t…
math.DS2018★ 1 cited
Exponential Stability Estimate of Symplectic Integrators for Integrable Hamiltonian Systems
Zhaodong Ding, Zaijiu Shang, Bo Xie
We prove a Nekhoroshev-type theorem for nearly integrable symplectic map. As an application of the theorem, we obtain the exponential stability symplectic algorithms. Meanwhile, we…