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Extended Abstracts Spring 2014

Hamiltonian Systems and Celestial Mechanics; Virus Dynamics and Evolution

  • Conference proceedings
  • © 2015

Overview

Editors:
  1. Montserrat Corbera

    1. Departament de Tecnologies Digitals, Campus Torre dels Frares, Universitat de Vic, Vic, Spain

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  2. Josep Maria Cors

    1. Departament de Matemàtica Aplicada III, Universitat Politècnica de Catalunya, Manresa, Spain

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  3. Jaume Llibre

    1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, Barcelona, Spain

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  4. Andrei Korobeinikov

    1. Centre de Recerca Matemàtica, Barcelona, Spain

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Part of the book series: Trends in Mathematics (TM, volume 4)

Part of the book sub series: Research Perspectives CRM Barcelona (RPCRMB)

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Table of contents (27 papers)

  1. Front Matter

    Pages i-vii
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  2. Hamiltonian Systems and Celestial Mechanics

    1. Front Matter

      Pages 1-2
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    2. On the Force Fields Which Are Homogeneous of Degree −3

      • Alain Albouy
      Pages 3-7

    3. Bifurcations of the Spatial Central Configurations in the 5-Body Problem

      • Martha Álvarez-Ramírez, Motserrat Corbera, Jaume Llibre
      Pages 9-15

    4. Convex Central Configurations of Two Twisted n-gons

      • Esther Barrabés, Josep Maria Cors
      Pages 17-21

    5. The Newtonian n-Body Problem in the Context of Curved Space

      • Florin Diacu
      Pages 23-26

    6. Poincaré Maps and Dynamics in Restricted Planar (n + 1)-Body Problems

      • Antonio Garcí;a
      Pages 27-30

    7. A Methodology for Obtaining Asymptotic Estimates for the Exponentially Small Splitting of Separatrices to Whiskered Tori with Quadratic Frequencies

      • Amadeu Delshams, Marina Gonchenko, Pere Gutiérrez
      Pages 31-37

    8. Homoclinic and Heteroclinic Orbits for a Class of Singular Planar Newtonian Systems

      • Joanna Janczewska
      Pages 39-43

    9. Transport Dynamics: From the Bicircular to the Real Solar System Problem

      • Mercè Ollé, Esther Barrabés, Gerard Gómez, Josep Maria Mondelo
      Pages 45-48

    10. Quasi-Periodic Almost-Collision Motions in the Spatial Three-Body Problem

      • Jesús F. Palacián, Flora Sayas, Patricia Yanguas
      Pages 49-51

    11. Generalized Discrete Nonlinear Schrödinger as a Normal Form at the Thermodynamic Limit for the Klein–Gordon Chain

      • Simone Paleari, Tiziano Penati
      Pages 53-58

    12. Stability of Euler-Type Relative Equilibria in the Curved Three Body Problem

      • Ernesto Pérez-Chavela, Juan Manuel Sánchez Cerritos
      Pages 59-63

    13. Two-Dimensional Symplectic Return Maps and Applications

      • Regina Martínez, Carles Simó
      Pages 65-69

    14. Central Configurations of an Isosceles Trapezoidal Five-Body Problem

      • Abdulrehman Kashif, Muhammad Shoaib, Anoop Sivasankaran
      Pages 71-76

    15. The Discrete Hamiltonian–Hopf Bifurcation for 4D Symplectic Maps

      • Ernest Fontich, Carles Simó, Arturo Vieiro
      Pages 77-81

    16. Moment Map of the Action of \({SO(3)}\) on \(\mathbb{R}^{3} \times \mathbb{R}^{3}\)

      • José Antonio Villa Morales
      Pages 83-86

  3. Virus Dynamics and Evolution

    1. Front Matter

      Pages 87-88
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    2. Modelling Infection Dynamics and Evolution of Viruses in Plant Populations

      • Aurora Fraile, Fernando García-Arenal
      Pages 89-93

    3. The Spread of Two Viral Strains on a Plant Leaf

      • Juan Carlos Cantero-Guardeño, Vladimir Sobolev, Andrei Korobeinikov
      Pages 95-99
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Keywords

About this book

The two parts of the present volume contain extended conference abstracts corresponding to selected talks given by participants at the "Conference on Hamiltonian Systems and Celestial Mechanics 2014" (HAMSYS2014) (15 abstracts) and at the "Workshop on Virus Dynamics and Evolution" (12 abstracts), both held at the Centre de Recerca Matemàtica (CRM) in Barcelona from June 2nd to 6th, 2014, and from June 23th to 27th, 2014, respectively. Most of them are brief articles, containing preliminary presentations of new results not yet published in regular research journals. The articles are the result of a direct collaboration between active researchers in the area after working in a dynamic and productive atmosphere.

The first part is about Central Configurations, Periodic Orbits and Hamiltonian Systems with applications to Celestial Mechanics – a very modern and active field of research. The second part is dedicated to mathematical methods applied to viral dynamics and evolution. Mathematical modelling of biological evolution currently attracts the interest of both mathematicians and biologists. This material offers a variety of new exciting problems to mathematicians and reasonably inexpensive mathematical methods to evolutionary biologists. It will be of scientific interest to both communities.

The book is intended for established researchers, as well as for PhD and postdoctoral students who want to learn more about the latest advances in these highly active areas of research.

Editors and Affiliations

  • Departament de Tecnologies Digitals, Campus Torre dels Frares, Universitat de Vic, Vic, Spain

    Montserrat Corbera

  • Departament de Matemàtica Aplicada III, Universitat Politècnica de Catalunya, Manresa, Spain

    Josep Maria Cors

  • Departament de Matemàtiques, Universitat Autònoma de Barcelona, Barcelona, Spain

    Jaume Llibre

  • Centre de Recerca Matemàtica, Barcelona, Spain

    Andrei Korobeinikov

Bibliographic Information

  • Book Title: Extended Abstracts Spring 2014

  • Book Subtitle: Hamiltonian Systems and Celestial Mechanics; Virus Dynamics and Evolution

  • Editors: Montserrat Corbera, Josep Maria Cors, Jaume Llibre, Andrei Korobeinikov

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-3-319-22129-8

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Softcover ISBN: 978-3-319-22128-1Published: 29 October 2015

  • eBook ISBN: 978-3-319-22129-8Published: 20 October 2015

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: VII, 160

  • Number of Illustrations: 12 b/w illustrations, 14 illustrations in colour

  • Topics: Ordinary Differential Equations, Numerical Analysis, Mathematical and Computational Biology

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