Renormalization Group Equations and Integrability in Hamiltonian Systems
نویسندگان
چکیده
منابع مشابه
Renormalization group equations and integrability in Hamiltonian systems
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 small parameter. To understand temporal evolutions of Hamiltonian systems, one useful method is t...
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2 Abstract. We investigate perturbed Hamiltonian systems with two degrees of freedom by renormalization group method, which derives a reduced equation called renormalization group equation (RGE) by handling secular terms. We found that RGE is not always a Hamiltonian system. The necessary and sufficient condition that RGE becomes a Hamiltonian system up to the second leading order of a small pa...
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Based on the Renormalization Group method, a reduction of non integrable multi-dimensional hamiltonian systems has been performed. The evolution equations for the slowly varying part of the angle-averaged phase space density, and for the amplitudes of the angular modes have been derived. It has been shown that these equations are precisely the Renormalization Group equations. As an application ...
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This paper studies analytic Liouville-non-integrable and C∞-Liouvilleintegrable Hamiltonian systems with two degrees of freedom. We will show that considerably general Hamiltonians than the one studied in [2] have the property. We also show that a certain monodromy property of an ordinary differential equation obtained as a subsystem of a given Hamiltonian and the transseries expansion of a fir...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1998
ISSN: 0033-068X,1347-4081
DOI: 10.1143/ptp.100.199