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dc.contributor.authorAcosta Humánez, Primitivo Belén
dc.contributor.authorBlázquez Sanz, David
dc.contributor.authorVargas Contreras, Camilo
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II
dc.identifier.citationAcosta-Humánez, P.; Blazquez-Sanz, D.; Vargas Contreras, C. \emph{On Hamiltonian potentials with cuartic polynomial normal variational equations}; Dynamic Systems and Applications
dc.description.abstractHere we find the complete family of two degree of freedom classical Hamiltonians with invariant plane $\Gamma=\{q_2=p_2=0\}$ whose normal variational equation around integral curves in $\Gamma$ is a generically a Hill-Schr\"odinger equation with cuartic polynomial potential. In particular, these Hamiltonian form a family of non-integrable Hamiltonians through rational first integrals.
dc.format.extent11 p.
dc.rightsAttribution-NonCommercial-NoDerivs 2.5 Spain
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshHamiltonian systems
dc.subject.lcshDifferential algebra
dc.subject.lcshDifference algebra
dc.subject.lcshHamiltonian dynamical systems
dc.subject.lcshLagrangian functions
dc.subject.otherMorales-Ramis theory
dc.subject.otherHamiltonian system
dc.subject.othernormal variational equation
dc.titleOn Hamiltonian potentials with cuartic polynomial normal variational equations
dc.subject.lemacHamilton, Sistemes de
dc.subject.lemacÀlgebra diferencial
dc.subject.lemacLagrange, Funcions de
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
dc.subject.amsClassificació AMS::12 Field theory and polynomials::12H Differential and difference algebra
dc.subject.amsClassificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics
dc.rights.accessOpen Access

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