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001 978-3-642-38830-9
003 DE-He213
005 20140220082913.0
007 cr nn 008mamaa
008 130920s2013 gw | s |||| 0|eng d
020 _a9783642388309
_9978-3-642-38830-9
024 7 _a10.1007/978-3-642-38830-9
_2doi
050 4 _aQA431
072 7 _aPBKJ
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515.625
_223
082 0 4 _a515.75
_223
100 1 _aIbáñez, Santiago.
_eeditor.
245 1 0 _aProgress and Challenges in Dynamical Systems
_h[electronic resource] :
_bProceedings of the International Conference Dynamical Systems: 100 Years after Poincaré, September 2012, Gijón, Spain /
_cedited by Santiago Ibáñez, Jesús S. Pérez del Río, Antonio Pumariño, J. Ángel Rodríguez.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2013.
300 _aXXVI, 411 p. 119 illus., 64 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Proceedings in Mathematics & Statistics,
_x2194-1009 ;
_v54
505 0 _aForeword -- 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.
520 _aThis 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.
650 0 _aMathematics.
650 0 _aFunctional equations.
650 0 _aDifferentiable dynamical systems.
650 0 _aDifferential Equations.
650 0 _aSystems theory.
650 1 4 _aMathematics.
650 2 4 _aDifference and Functional Equations.
650 2 4 _aDynamical Systems and Ergodic Theory.
650 2 4 _aOrdinary Differential Equations.
650 2 4 _aApplications of Mathematics.
650 2 4 _aSystems Theory, Control.
650 2 4 _aMathematical and Computational Biology.
700 1 _aPérez del Río, Jesús S.
_eeditor.
700 1 _aPumariño, Antonio.
_eeditor.
700 1 _aRodríguez, J. Ángel.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642388293
830 0 _aSpringer Proceedings in Mathematics & Statistics,
_x2194-1009 ;
_v54
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-38830-9
912 _aZDB-2-SMA
999 _c98338
_d98338