Progress and Challenges in Dynamical Systems

Proceedings of the International Conference Dynamical Systems: 100 Years after Poincaré, September 2012, Gijón, Spain

  • Santiago Ibáñez
  • Jesús S. Pérez del Río
  • Antonio Pumariño
  • J. Ángel Rodríguez
Conference proceedings

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 54)

Table of contents

  1. Front Matter
    Pages i-xxvi
  2. C. Alonso-González, F. Cano, R. Rosas
    Pages 1-6
  3. J. F. Alves, M. Soufi
    Pages 7-24
  4. Roberto Barrio, Fernando Blesa, Sergio Serrano, Tingli Xing, Andrey Shilnikov
    Pages 53-64
  5. P. Benítez, J. C. Losada, R. M. Benito, F. Borondo
    Pages 77-88
  6. Henk W. Broer, Gert Vegter
    Pages 89-126
  7. Adriana Buică, Isaac A. García, Susanna Maza
    Pages 127-141
  8. Jose S. Cánovas
    Pages 143-159
  9. Félix Álvaro Carnicero, Fernando Sanz
    Pages 161-181
  10. L. J. Díaz, K. Gelfert
    Pages 199-219
  11. Emilio Freire, Enrique Ponce, Francisco Torres
    Pages 221-232
  12. Armengol Gasull, Hector Giacomini
    Pages 233-252
  13. Isabel S. Labouriau, Alexandre A. P. Rodrigues
    Pages 281-299
  14. M. Angeles Martínez, Roberto Barrio, Sergio Serrano
    Pages 301-308
  15. Daniel Peralta-Salas
    Pages 309-323
  16. Enrique Ponce, Javier Ros, Elísabet Vela
    Pages 325-333
  17. A. Pumariño, J. A. Rodríguez, J. C. Tatjer, E. Vigil
    Pages 351-366
  18. Genaro de la Vega, Santiago López de Medrano
    Pages 395-407
  19. Back Matter
    Pages 409-411

About these proceedings


This book contains papers based on talks given at the International Conference Dynamical Systems: 100 years after Poincaré held at the University of Oviedo, Gijón in Spain, September 2012. It provides an overview of the state of the art in the study of dynamical systems.


This book covers a broad range of topics, focusing on discrete and continuous dynamical systems, bifurcation theory, celestial mechanics, delay difference and differential equations, Hamiltonian systems and also the classic challenges in planar vector fields. It also details recent advances and new trends in the field, including applications to a wide range of disciplines such as biology, chemistry, physics and economics. 


The memory of Henri Poincaré, who laid the foundations of the subject, inspired this exploration of dynamical systems. In honor of this remarkable mathematician, theoretical physicist, engineer and philosopher, the authors have made a special effort to place the reader at the frontiers of current knowledge in the discipline.


Bifurcations Celestial mechanics Complex behaviour Dynamical systems Heterodimensional cycles

Editors and affiliations

  • Santiago Ibáñez
    • 1
  • Jesús S. Pérez del Río
    • 2
  • Antonio Pumariño
    • 3
  • J. Ángel Rodríguez
    • 4
  1. 1.Department of MathematicsUniversity of OviedoOviedoSpain
  2. 2.Department of MathematicsUniversity of OviedoOviedoSpain
  3. 3.Department of MathematicsUniversity of OviedoOviedoSpain
  4. 4.Department of MathematicsUniversity of OviedoOviedoSpain

Bibliographic information