Renormalization group equations and integrability in Hamiltonian systems

Details Renormalization group equations and integrability in Hamiltonian systems Renormalization group equations and integrability in Hamiltonian systems

1998-04-18

arxiv.org/abs/chao-dyn/9804031v2

Prog.Theor.Phys. Vol.100 No.1 (1998) 199-204

Nonlinear Sciences

Chaotic Dynamics

7 pages, No figures, LaTeX (19 kb)

Scientific paper

10.1143/PTP.100.199

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.

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