Gonzalo Contreras

Piecewise Analytic Subactions for Analytic Dynamics (2009)

Contreras, Gonzalo, Lopes, Artur O., Oliveira, Elismar R., Smania, Daniel

We consider a piecewise analytic expanding map f: [0,1]-> [0,1] of degree d which preserves orientation, and an analytic positive potential g: [0,1] -> R. We address the analysis of the following...

A generic property of families of Lagrangian systems (2008)

Bernard, Patrick, Contreras, Gonzalo

We prove that a generic lagrangian has finitely many minimizing measures for every cohomology class.

A generic property of families of Lagrangian systems (2008)

Bernard, Patrick, Contreras, Gonzalo

We prove that a generic lagrangian has finitely many minimizing measures for every cohomology class.

A generic property of families of Lagrangian systems (2008)

Bernard, Patrick, Contreras, Gonzalo

We prove that a generic lagrangian has finitely many minimizing measures for every cohomology class.

The Asymptotic Maslov Index And Its Applications (2007)

Gonzalo Contreras, Jean-Marc Gambaudo, Renato Iturriaga, Gabriel P. Paternain

. Let N be a 2n-dimensional manifold equipped with a symplectic structure ! and (N ) be the Lagrangian Grassmann bundle over N . Consider a ow t on N that preserves the symplectic structure and a t...

Lagrangian Graphs, Minimizing Measures And Mañé's Critical Values (2007)

Gonzalo Contreras, Renato Iturriaga, Miguel Paternain

. Let L be a convex superlinear Lagrangian on a closed connected manifold N . We consider critical values of Lagrangians as defined by R. Ma~n'e in [17]. We show that the critical value of the...

Lagrangian Graphs, Minimizing Measures And Mañé's Critical Values (2007)

Gonzalo Contreras, Renato Iturriaga, MIGUEL PATERNAIN

. Let L be a convex superlinear Lagrangian on a closed connected manifold M . We consider critical values of Lagrangians as defined by R. Ma~n'e in [13]. We show that the critical value of the...

Lagrangian Graphs, Minimizing Measures And Ma ~ N ' E's Critical Values (2007)

Gonzalo Contreras, Renato Iturriaga, Gabriel P. Paternain

. Let L be a convex superlinear Lagrangian on a closed connected manifold M . We consider critical values of Lagrangians as defined by R. Ma~n'e in [13]. We show that the critical value of the...

Connecting Orbits Between Static Classes For Generic Lagrangian Systems (2007)

Gonzalo Contreras, GABRIEL P. PATERNAIN

. Let L be a C 1 convex superlinear Lagrangian on a closed manifold M . We show that if the number of static classes is nite, then there exist chains of semistatic orbits that connect any two given...

On The Creation Of Conjugate Points For Hamiltonian Systems (2007)

Gonzalo Contreras, Renato Iturriaga

. For a fixed Hamiltonian H on the cotangent bundle of a compact manifold M and a fixed energy level e, we prove that the set A e of potentials OE on M such that the Hamiltonian flow of H+ OE is...

LAGRANGIAN GRAPHS, MINIMIZING MEASURES AND MA N E'S CRITICAL VALUES (2007)

Gonzalo Contreras, Renato Iturriaga, Gabriel P. Paternain

Abstract. Let L be a convex superlinear Lagrangian on a closed connected manifold M. We consider critical values of Lagrangians as defined by R. Ma~n'e in [13]. We show that the critical value...

El delirio de J. M. Coetzee (2006)

Contreras, Gonzalo

J. M. Coetzee es un escritor de ideas. La lucha interracial sudafricana es una de ellas, la defensa de la fauna es otra. Su obra da cuenta de la intensidad con que el sudafricano ha asumido sus...

Periodic orbits for exact magnetic flows on surfaces (2004)

Contreras, Gonzalo, Macarini, Leonardo, Paternain, Gabriel P.

We show that any exact magnetic flow on a closed surface has periodic orbits in all energy levels. Moreover, we give homological and homotopical properties of these periodic orbits in terms of the...

C2 densely the 2-sphere has an elliptic closed geodesic (2003)

Contreras, Gonzalo, Oliveira, Fernando

We prove that a riemannian metric on the 2-sphere or the projective plane can be C2-approximated by a smooth metric whose geodesic flow has an elliptic closed geodesic.

The Palais-Smale condition for contact type energy levels for convex lagrangian systems (2003)

Contreras, Gonzalo

We prove that for a uniformly convex Lagrangian system L on a compact manifold M, almost all energy levels contain a periodic orbit. We also prove that below Ma ne's critical value of the lift of the...

The Palais-Smale Condition And Mañé's Critical Values (1999)

Gonzalo Contreras, Renato Iturriaga, Miguel Paternain, Miguel Paternain

. Let L be a convex superlinear autonomous Lagrangian on a closed connected manifold N . We consider critical values of Lagrangians as dened by R. Ma~ne in [23]. We dene energy levels satisfying the...

The Palais-Smale Condition And Mañé's Critical Values (1999)

Gonzalo Contreras, Renato Iturriaga, Miguel Paternain

. Let L be a convex superlinear autonomous Lagrangian on a closed connected manifold N . We consider critical values of Lagrangians as dened by R. Ma~ne in [21]. We dene energy levels satisfying the...

El gran mal (1998)

Contreras, Gonzalo

Gonzalo Contreras, escritor chileno (Santiago, 1958). Es autor de La danza ejecutada (cuentos), La ciudad interior (novela), El nadador (novela). Su obra ha sido merecedora de premios literarios y de...

El gran mal / G. Contreras. (1998)

Contreras, Gonzalo

Gonzalo Contreras, escritor chileno (Santiago, 1958). Es autor de La danza ejecutada (cuentos), La ciudad interior (novela), El nadador (novela). Su obra ha sido merecedora de premios literarios y de...

Convex Hamiltonians without Conjugate Points

Gonzalo Contreras, Renato Iturriaga

this paper are disconjugate orbits of the Hamiltonian flow, i.e. orbits without conjugate points. Let ß : T