Progress and Challenges in Dynamical Systems

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

ISBN: 978-3-642-38829-3 (Print) 978-3-642-38830-9 (Online)

Table of contents (25 chapters)

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  1. Front Matter

    Pages i-xxvi

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    Pages 1-6

    Secants of Trajectories in Dimension Three

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    Pages 7-24

    Statistical Stability in Chaotic Dynamics

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    Pages 25-52

    Combinatorial Dynamics and an Elementary Proof of the Continuity of the Topological Entropy at θ =101, in the Milnor Thurston World

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    Pages 53-64

    Homoclinic Spirals: Theory and Numerics

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    Pages 65-75

    Numerical Results on a Simple Model for the Confinement of Saturn’s F Ring

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    Pages 77-88

    Analysis of the Full Vibrational Dynamics of the LiNC/LiCN Molecular System

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    Pages 89-126

    Resonance and Singularities

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    Pages 127-141

    Inverse Jacobi Multipliers: Recent Applications in Dynamical Systems

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    Pages 143-159

    On Entropy of Non–autonomous Discrete Systems

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    Pages 161-181

    Interlacing and Separation of Solutions of Linear Meromorphic ODEs

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    Pages 183-197

    A Walk Through the New Methods of Celestial Mechanics

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    Pages 199-219

    Porcupine-Like Horseshoes: Topological and Ergodic Aspects

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    Pages 221-232

    Planar Filippov Systems with Maximal Crossing Set and Piecewise Linear Focus Dynamics

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    Pages 233-252

    Some Applications of the Extended Bendixson-Dulac Theorem

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    Pages 253-263

    On Solutions of Zero Exponential Type for Some Inhomogeneous Differential-Difference Equations in a Banach Space

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    Pages 265-280

    Homoclinic Solutions to Infinity and Oscillatory Motions in the Restricted Planar Circular Three Body Problem

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    Pages 281-299

    Partial Symmetry Breaking and Heteroclinic Tangencies

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    Pages 301-308

    Finding Periodic Orbits in the Hindmarsh-Rose Neuron Model

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    Pages 309-323

    Realization Problems in the Theory of Foliations

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    Pages 325-333

    A Hopf-Zero Degenerated Case in Symmetric Piecewise Linear Systems

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