Non-perturbative non-integrability of non-homogeneous nonlinear lattices induced by non-resonance hypothesis

Details Non-perturbative non-integrability of non-homogeneous nonlinear lattices induced by non-resonance hypothesis Non-perturbative non-integrability of non-homogeneous nonlinear lattices induced by non-resonance hypothesis

1996-04-02

arxiv.org/abs/solv-int/9603012v1

Physica D94(1996)116-134.

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Latex, 21 pages, to appear in Physica D (1996), ps.Z file available at http://www.bip.riken.go.jp/irl/chaosken/reulam.ps.Z

Scientific paper

We prove the non-integrability (non-existence of additional analytic conserved quantities other than Hamiltonian) for Fermi-Pasta-Ulam (FPU) lattices by virtue of Lyapunov-Kovalevskaya- -Ziglin-Yoshida's monodromy method about the variational equations. The key to this analysis is that the normal variational equations along a certain solution happen to be in a type of Lam\'e equations. We also introduce the classification problem towards non-homogeneous nonlinear lattices including FPU lattices using non-integrability preserving transformation.

Affiliated with

Also associated with

No associations

Rating

Non-perturbative non-integrability of non-homogeneous nonlinear lattices induced by non-resonance hypothesis does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Non-perturbative non-integrability of non-homogeneous nonlinear lattices induced by non-resonance hypothesis, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-perturbative non-integrability of non-homogeneous nonlinear lattices induced by non-resonance hypothesis will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-124217