Periodic orbits near a heteroclinic loop formed by one dimensional orbit and a 2-dimensional manifold: application to the charged collinear 3-body problem

The paper is devoted to the study of a type of differential systems which appear usually in the study of some Hamiltonian systems with 2 degrees of freedom. We prove the existence of infinitely many periodic orbits on each negative energy level. All these periodic orbits pass near the total collision. Finally we apply these results to study the existence of periodic orbits in the charged collinear 3–body problem.

When does universal peace prevail? Secession and group formation in rent seeking contests and policy conflicts

This paper analyzes secession and group formation in a general model of contest inspired by Esteban and Ray (1999). This model encompasses as special cases rent seeking contests and policy conflicts, where agents lobby over the choice of a policy in a one-dimensional policy space. We show that in both models the grand coalition is the efficient coalition structure and agents are always better off in the grand coalition than in a symmetric coalition structure. Individual agents (in the rent seeking contest) and extremists (in the policy conflict) only have an incentive to secede when they anticipate that their secession will not be followed by additional secessions. Incentives to secede are lower when agents cooperate inside groups. The grand coalition emerges as the unique subgame perfect equilibrium outcome of a sequential game of coalition formation in rent seeking contests.

Variables efectives de l'empowerment

Aquest treball que porta per títol variables efectives de l’empowerment es el treball investigació del programa de doctorat Interuniversitari en Organització i Administració d’Empreses. El treball està composat per tres parts diferenciades. La primera part del treball consisteix amb el comentari de vint articles relacionats amb la motivació, el downsizing i l’empowerment. Els resums exposats han servit per establir els fonaments teòrics previs al model proposat de variables efectives d’empowerment. La segona part consisteix amb l’elaboració d’un article que resumeix les principals fonts consultades i proposa un model de classificació de les variables que poden contribuir a aconseguir amb èxit un procés d’empowerment. Les variables efectives es poden dividir en variables recíproques, variables unidireccionals, variables compartides i variables reflexives. La tercera part i amb l’objectiu de comprovar la validesa de model s’ha desenvolupat un qüestionari per mesurar l’estat de les variables anomenades efectives d’empowerment i la seva contribució amb l’èxit del procés. Es descriu l’eina desenvolupada, el tractament i la representació de les dades obtingudes. Finalment es pot trobar els primers resultats de la prova pilot realitzada per provar el model conceptual proposat.

Limit Cycles for a class of three dimensional polynomial differential systems

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On the upper bound of the number of limit cycles obtained by the second order averaging method I

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On the upper bound of the number of limit cycles obtained by the second order averaging method II

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Inverse Problems for multiple invariant curves

Planar polynomial vector fields which admit invariant algebraic curves, Darboux integrating factors or Darboux first integrals are of special interest. In the present paper we solve the inverse problem for invariant algebraic curves with a given multiplicity and for integrating factors, under generic assumptions regarding the (multiple) invariant algebraic curves involved. In particular we prove, in this generic scenario, that the existence of a Darboux integrating factor implies Darboux integrability. Furthermore we construct examples where the genericity assumption does not hold and indicate that the situation is different for these.

Quadratic perturbations of a quadratic reversible Lotka-Volterra System

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Hopf bifurcation of a delay differential equation with two delays

We consider a delay differential equation with two delays. The Hopf bifurcation of this equation is investigated together with the stability of the bifurcated periodic solution, its period and the bifurcation direction. Finally, three applications are given.

Polynomial and linearized normal forms for almost periodic differential systems

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Hopf bifurcation for degenerate singular points of multiplicity 2n-1 in dimension 3

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