Progress and Challenges in Dynamical Systems (eBook)

Foreword.- Preface.- C. Alonso-González, F. Cano, R. Rosas: Secants of trajectories in dimension three.-  J. F. Alves, M. Soufi: Statistical stability in chaotic dynamics.- S. Aranzubía 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 À. Jorba: Numerical results on a simple model for the confinement of Saturn’s F Ring.- P. Benítez, 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˘a, I.A. García and S.Maza: Inverse Jacobi multipliers: recent applications in dynamical systems.- J.S. Cánovas: On entropy of non–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. Díaz 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. Martín 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. Martínez, 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˜no, J. A. Rodríguez, J. C. Tatjer and E. Vigil: Piecewise linear bidimensional maps as models of return maps for 3D diffeomorphisms.- C. Simó, P. Sousa-Silva and M. Terra: Practical Stability Domains near L4,5 in the Restricted Three-Body Problem: Some preliminary facts.- C. Simó and A. Vieiro: A physical dissipative system with a Poincar´e homoclinic figure-eight.- G. de la Vega and S. López de Medrano: Generalizing the May-Leonard System to any number of species.- Index.