Carles Simó Lecture

Boundaries of Stability
Carles Simó
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Plenary Talks

The abstracts of the plenary talks can be found here. Note that the information is still temptative. If you have any comments, please contact us at csfmaia.ub.es .


Low-frequency variability in climate models: a dynamical systems perspective
Henk Broer
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The flow of the equal-mass spatial 3-body problem in the neighborhood of the equilateral relative equilibrium
Alain Chenciner, Jacques Féjoz
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Mathematical methods and people of Geomatics
Ismael Colomina
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Invariant tori in the Sun-Jupiter-Saturn system
Antonio Giorgilli
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Topological existence proofs for some symmetric periodic orbits
Richard Moeckel
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Only Lagrange is syzygy-free
Richard Montgomery
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What algebra sees from the dynamics
Jean-Pierre Ramis
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Non-zero Lyapunov exponents in families of dynamical systems
Michael Shub
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The coarse-grained Gibbs entropy in dynamical problems
Dmitry Treschev
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Communications

The abstracts of the communications can be found here. Note that the information is still temptative. If you have any comments, please contact us at csfmaia.ub.es .


Two quadratic first integrals $\Rightarrow$ integrability?
Alain Albouy
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On the definition of Strange Nonchaotic Attractor
Lluís Alsedà, Sara Costa
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The inner equation of generic analytic unfoldings of the Hopf-zero singularity
I. Baldomá, T.M. Seara
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Global Dynamics of nonrigid triatomic molecular systems of three degrees of freedom
R. M. Benito, C. G. Giralda, J. C. Losada, F.Borondo.
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Gevrey- and analytic models for families of vector fields
Patrick Bonckaert, Peter De Maesschalck
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Reducing or enhancing chaos using periodic orbits
R. Bachelard, C. Chandre, X. Leoncini
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New results for Euler-Poisson equations
A. Bruno
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Global Dynamics in a selfconsitent model of Elliptical Galaxy
Pablo M. Cincotta, Claudia M. Giordano, Juan C. Muzzio
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Existence of diffusion in a-priori unstable models: higher order resonances do not impede diffusion
A. Delshams, R. de la Llave, T. M-Seara
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On an assignment from Carles Simó without due date, ten years later
Emilio Freire, Enrique Ponce
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On the dynamics of the Lyness 3-D recurrence
Anna Cima, Armengol Gasull, Victor Mañosa
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High-precision computations of divergent asymptotic series and homoclinic phenomena
Vassili Gelfreich
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On a homoclinic origination of H\'enon maps.
S. Gonchenko
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Justification of C. Simó's fractional iteration method and of the frequency method
R. de la Llave, A. González-Enríquez
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Bifurcations of stationary measures of random diffeomorphisms
Ale Jan Homburg, Hicham Zmarrou
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Strange attractors in coupled systems
Fátima Drubi, Santiago Ibáñez, J. Angel Rodríguez
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Rydberg Atoms in a Strong Magnetic Field: A Numerical Experiment
John E. Martin, III, T. Uzer, Charles Jaffé
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Mechanical systems with polynomial potentials of degree 4
Ernesto A. Lacomba Manuel Falconi and Claudio Vidal
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3 d.o.f. Hamiltonian dynamics in neighborhoods of separatrix manifolds:integrable Hamiltonians and perturbations
L.M. Lerman
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Numerical computation of rotation numbers for analytic maps
Tere M. Seara, Jordi Villanueva
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Splitting of separatrices in pertubations of the McMillan map
Pau Martín, Tere M Seara, David Sauzin
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The dynamics around the collinear point L3 of the RTBP.
E. Barrabés, J. M. Mondelo, M. Ollé
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Non-monotonic twist equations
A.D. Morozov
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Hamiltonian stability and subanalytic geometry
Laurent Niederman
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Fermi acceleration in time dependent billiards
Edson D Leonel, Sylvie Oliffson Kamphorst, Sônia Pinto de Carvalho, Jafferson K L da Silva
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The obstruction criterion for non existence of invariant circles and renormalization
Rafael de la Llave, Arturo Olvera
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KAM Tori in the Spatial Restricted ThreeBody Problem
Jesús F. Palacián, Patricia Yanguas
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Hunting for quantum points near the bottom of an unharmonical Schrödinger well
Pankratova T.F., Gromova Yu.A., Mukhorina M.Yu.
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On periodic orbits of billiards inside perturbed circular tables
Rafael Ramírez-Ros
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Relaxation Oscillations in Liénard Equations
Robert Roussarie
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Computation of the normal form near a triple +1 bifurcation of a periodic orbit in a large scale $O(2)$ equivariant system
Sánchez, J., Net, M. , Vega, J.M.
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Ergodicity and convergence to a Brownian motion in examples of Arnold diffusion
David Sauzin
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Long-term evolution of the asteroid orbits at the 3:1 mean motion resonance with Jupiter (model problem)
V.V.Sidorenko
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Homoclinic Chaos and Physical Integrability in LRS Bianchi IX Cosmologies
T. J. Stuchi, Damião Soares
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Chaotic bound states of dissipative solitons in Ginzburg-Landau equation
D. Turaev

Periodic orbits as a tool for analysis and quantization of global phase space structures in a multidimensional Hamiltonian system
Stephan Gekle, Jörg Main, Thomas Bartsch, T. Uzer
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A complete description of the generating family i of periodic solutions of R3BP
Victor Varin
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Capture into resonance in dynamics of a classical hydrogen atom in an oscillating electric field
Alexei Vasiliev, Anatoly Neishtadt
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The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms: a dynamical inventory
Renato Vitolo, Henk Broer, Carles Simó
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Posters

The abstracts of the posters can be found here. Note that the information is still temptative. If you have any comments, please contact us at csfmaia.ub.es .


Non integrability of some Hamiltonians with rational potential
Primitivo Acosta-Humánez , David Blazquez-Sanz
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Quantum-Classical Correspondence in the Appearance of Resonances
F. J. Arranz , R. M. Benito, F. Borondo
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Geometry and bifurcation structure of resonances in two-parameter dissipative systems
Claude Baesens
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Resonant structure and stability of Trojans asteroids: evolution during the planetary migration
P. Robutel , J. Bodossian
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Quantum Manifestations of Homoclinic and Heteroclinic Motions
F. Borondo , R. M. Benito
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Asymptotic measures of random logistic maps
M. Falconi , G. Blé and V. Castellanos
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Low Prandtl number convection in rotating spherical shells
F. García , J. Sánchez, M. Net
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On the structure of 1:4 resonances in conservative Hénon-like maps.
M. Gonchenko
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On the uncertainty of the minimal distance between two confocal Keplerian orbits
Giovanni Federico Gronchi , Giacomo Tommei
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The large gap problem in Arnold diffusion for non polynomial perturbations of an a-priori integrable Hamiltonian system
Gemma Huguet , Amadeu Delshams
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Hamiltonian and reversible dynamics near a homoclinic orbit to a nonhyperbolic equilibria
O.Yu. Koltsova, J.S.W. Lamb
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A quasi-Sturm-Liouville like Galerkin method
J. M. López Besora , C. Simó
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Arnold Web in the 3D LiCN Hamiltonian System
J. C. Losada , R. M. Benito, F. Borondo
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Numerical computation of rotation numbers for quasi-periodic planar curves
Alejandro Luque, Jordi Villanueva
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On the global error of some approximants to near identity maps
M. Begoña Melendo
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Straightening the Flow in a Hamilton-Jacobi Equation
Carme Olivé , Tere M. Seara
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Periodic orbits of charged collinear $3$body problem
Jaume Llibre, Daniel Pasca
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Instability Zone for Billiards on Ovals
M.J. Dias Carneiro, S. Oliffson Kamphorst, S. Pinto de Carvalho
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The scattering map in the Restricted Three Body Problem
A. Delshams, J.J. Masdemont, P. Roldán
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On Birkhoff Theorems for Lagrangian invariant tori with closed orbits
Rafael O. Ruggiero, Mario J. Dias Carneiro
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Bifurcation of Central Configuration in the 2n+2-Body Problem
Masayoshi Sekiguchi
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Curvatures and focal points of dynamical Lagrangian distributions and their reduction by first integrals.
A.A Agrachev, N.N. Shcherbakova and I.Zelenko
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Oscillatory Solution to the Three-Body Problem
Mitsuru Shibayama
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On the non-integrability of some N-body problems
S. Simón
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The Generalized Alignment Index (GALI) method: Detecting order and chaos in conservative dynamical systems
Ch. Skokos
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A Lie-Algebra version of Classical or Quantum Hamiltonian Perturbation Theory & Control
Michel Vittot
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