Progress and Challenges in Dynamical Systems Proceedings of the International Conference Dynamical Systems: 100 Years after Poincar,̌ September 2012, Gijn̤, Spain /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Ibę̀z, Santiago. (Editor), Přez del Ro̕, Jess͠ S. (Editor), Pumariǫ, Antonio. (Editor), Rodrg̕uez, J. ℓngel. (Editor)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Series: Springer Proceedings in Mathematics & Statistics, 54
• Subjects: Mathematics.; Functional equations.; Differentiable dynamical systems.; Differential Equations.; Systems theory.; Difference and Functional Equations.; Dynamical Systems and Ergodic Theory.; Ordinary Differential Equations.; Applications of Mathematics.; Systems Theory, Control.; Mathematical and Computational Biology.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-38830-9

This book contains papers based on talks given at the International Conference Dynamical Systems: 100 years after Poincar ̌held at the University of Oviedo, Gijn̤ 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 r...

Table of Contents:

• Foreword
• Preface
• C. Alonso-Gonzl̀ez, F. Cano, R. Rosas: Secants of trajectories in dimension three
• J. F. Alves, M. Soufi: Statistical stability in chaotic dynamics
• S. Aranzuba̕ and R. Labarca: Combinatorial dynamics and an elementary proof of the continuity of the topological entropy at q =101, in the Milnor Thurston World
• R. Barrio, F. Blesa, S. Serrano, T. Xing and A. Shilnikov: Homoclinic spirals: theory and numerics
• L. Benet and °. Jorba: Numerical results on a simple model for the confinement of Saturn<U+0019>s F Ring
• P. Bent̕ez, J.C. Losada, R.M. Benito, and F. Borondo: Analysis of the full vibrational dynamics of the LiNC/LiCN molecular system
• H.W. Broer and G. Vegter: Resonance and Singularities
• A. Buic<U+00d8>a, I.A. Garca̕ and S.Maza: Inverse Jacobi multipliers: recent applications in dynamical systems
• J.S. Cǹovas: On entropy of non<U+0013>autonomous discrete systems
• F. Alvaro Carnicero and F. Sanz: Interlacing and separation of solutions of linear meromorphic ODEs
• A. Chenciner: A walk through the New Methods of Celestial Mechanics
• L. J. Da̕z and K. Gelfert: Porcupine-like Horseshoes. Topological and Ergodic Aspects
• E. Freire, E. Ponce and F. Torres: Planar Filippov Systems with Maximal Crossing Set and Piecewise Linear Focus Dynamics
• A. Gasull and H. Giacomini: Some applications of the extended Bendixson-Dulac Theorem
• S. Gefter and T. Stulova: On solutions of zero exponential type for some inhomogeneous differential-difference equations in a Banach space
• M. Guardia, P. Martn̕ and T.M. Seara: Homoclinic solutions to infinity and oscillatory motions in the Restricted Planar Circular Three Body Problem
• I.S. Labouriau and A.A.P. Rodrigues : Partial symmetry breaking and heteroclinic tangencies
• M.A. Martn̕ez, R. Barrio and S. Serrano: Finding Periodic Orbits in the Hindmarsh-Rose neuron model
• D. Peralta-Salas: Realization problems in the theory of foliations
• E. Ponce, J. Ros and E. Vela: A Hopf-zero degenerated case in symmetric piecewise linear systems
• E. Ponce, J. Ros and E. Vela: The Focus-Center-Limit Cycle Bifurcation in Discontinuous Planar Piecewise Linear Systems without Sliding
• A. Pumari<U+00dc>no, J. A. Rodrg̕uez, J. C. Tatjer and E. Vigil: Piecewise linear bidimensional maps as models of return maps for 3D diffeomorphisms
• C. Sim,̤ P. Sousa-Silva and M. Terra: Practical Stability Domains near L4,5 in the Restricted Three-Body Problem: Some preliminary facts
• C. Sim ̤and A. Vieiro: A physical dissipative system with a Poincarþe homoclinic figure-eight
• G. de la Vega and S. Lp̤ez de Medrano: Generalizing the May-Leonard System to any number of species
• Index.