Extended Abstracts Spring 2014

Jaume Llibre is full professor at the Autonomous University of Barcelona (Spain) and a member of the Royal Academy of Sciences and Arts of Barcelona. He was a long-term visitor at different important universities and research institutes and is the author of many papers and some books. His main results deal with the periodic orbits either of different kinds of self-maps, or of vector fields, Hamiltonian systems and celestial mechanics.

Hamiltonian Systems and Celestial Mechanics.- Foreword.- On the Force Fields which are Homogeneous of Degree.- Bifurcations of the Spatial Central Configurations in the 5-Body Problem.- Convex Central Configurations of Two Twisted n-gons.- The Newtonian n-Body Problem in the Context of Curved Space.- Poincaré Maps and Dynamics in Restricted Planar (n + 1)-Body Problems.- A Methodology for Obtaining Asymptotic Estimates for the Exponentially Small Splitting of Separatrices to Whiskered Tori with Quadratic Frequencies.- Homoclinic and Heteroclinic Orbits for a Class of Singular Planar Newtonian Systems.- Transport Dynamics: from the Bicircular to the Real Solar System Problem.- Quasi-Periodic Almost-Collision Motions in the Spatial Three-Body Problem.- Generalized Discrete Nonlinear Schrödinger as a Normal Form at the Thermodynamic Limit for the Klein-Gordon Chain.- Stability of Euler-Type Relative Equilibria in the Curved Three Body Problem.- Two-dimensional Symplectic Return Maps and Applications.- Central Configurations of an Isosceles Trapezoidal Five-Body Problem.- The Discrete Hamiltonian-Hopf Bifurcation for 4D Symplectic Maps.- Moment Map of the Action of SO(3) on R3XR3.- Virus Dynamics and Evolution.- Foreword.- Modelling Infection Dynamics and Evolution of Viruses in Plant Populations.- The Spread of Two Viral Strains on a Plant Leaf.- Tracking the Population Dynamics of Plant Virus Escape Mutants.- Evolutionary Escape in Populations with Genotype-Phenotype Structure.- Evolution of Stalk/Spore Ratio in a Social Amoeba: Cell-to-Cell Interaction Via a Signaling Chemical Shaped by Cheating Risk.- Within-Host Viral Evolution Model with Cross-Immunity.- Modelling Viral Evolution and Adaptation.- Changes in Codon-Pair Bias of Human Immunodeficiency Virus Type 1 Affect Virus Replication.- Competing Neutral Populations of Different Diffusivity.- Density-Dependent Diffusion and Epidemics on Heterogeneous Metapopulations.- Are Viral Blips in HIV-1-InfectedPatients Clinically Relevant?.- Models of Developmental Plasticity and Cell Growth.