Renormalization group equations and integrability in Hamiltonian systems

Abstract

We investigate Hamiltonian systems with two degrees of freedom by using renormalization group method. We show that the original Hamiltonian systems and the renormalization group equations are integrable if the renormalization group equations are Hamiltonian systems up to the second leading order of a small parameter.

7 pages, No figures, LaTeX (19 kb)

Cited by in corpus (7)

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• Renormalization of Long-wavelength Solution of Einstein Equation
• Regularized Renormalization Group Reduction of Symplectic Map
• Renormalization group method and canonical perturbation theory
• From the Birkhoff-Gustavson normalization to the Bertrand-Darboux integrability condition
• Liouville Operator Approach to Symplecticity-Preserving Renormalization Group Method
• Canonical structure of renormalization group equations and separability of Hamiltonian systems