Nonintegrability of nonhomogeneous nonlinear lattices

DOI10.1063/1.1806260zbMath1064.37045OpenAlexW1984038194MaRDI QIDQ3024140

Ken Umeno, Kazuyuki Yoshimura

Publication date: 30 June 2005

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1806260

Mathematics Subject Classification ID

Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

Related Items (2)

Moving discrete breathers in nonlinear lattice: resonance and stability ⋮ Near-integrability of periodic Klein-Gordon lattices

Cites Work

• A criterion for non-integrability of Hamiltonian systems with nonhomogeneous potentials
• Bifurcation of solutions and the nonexistence of first integrals in Hamiltonian mechanics. I
• Branching of solutions and the nonexistence of first integrals in Hamiltonian mechanics. II
• Non-integrability of Hénon-Heiles system and a theorem of Ziglin
• Non-integrability of the fourth-order truncated Toda Hamiltonian
• A criterion for the non-existence of an additional integral in Hamiltonian systems with a homogeneous potential
• Non-integrability of the truncated Toda lattice Hamiltonian at any order
• A criterion for the nonexistence of an additional analytic integral in Hamiltonian systems with \(n\) degrees of freedom
• Non-perturbative non-integrability of non-homogeneous nonlinear lattices induced by non-resonance hypothesis
• Galois extensions in Kowalevski exponents and nonintegrability of nonlinear lattices

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