The complexity of dynamical systems: a multi-disciplinary perspective

INDICE: Acknowledgements. List of Contributors. Introduction. Part One Applications. 1 Coastal Morphodynamics (Nicholas Dodd). 1.1 1D Theoretical Framework. 1.2 Sediment Transport, Erosion, and Deposition. 1.3 Wave Speeds, Free andForced Modes, and Timescales. 1.4 Phase-Averaged Morphodynamics: Crescentic Bars. 1.5 Physical Mechanisms. 1.6 Concluding Remarks. References. 2 Long-LivedTransients in Transitional Pipe Flow (Jerry Westerweel and Dirk Jan Kuik). References. 3 Dynamics of Patterns in Lasers with Delayed Feedback (Kirk Green and Bernd Krauskopf). 3.1 Introduction. 3.2 Single-Mode Laser with COF. 3.3 VCSEL with Optical Feedback. 3.4 Numerical Bifurcation Analysis of the Two-Mode ECM Structure. 3.5 Stability and Bifurcations of Periodic Solutions. 3.6 Discussion. References. 4 Optical Delay Dynamics and Its Applications (Laurent Larger and Ingo Fischer). 4.1 Introduction. 4.2 Experimental Setups. 4.3 Dynamics: Modeling, Numerics, and Experiments. 4.4 Applications. 4.5 Conclusion and Outlook. References. 5 Symbolic Dynamics in Genetic Oscillation Patterns (Simone Pigolotti, Sandeep Krishna, and Mogens H. Jensen). 5.1 Introduction. 5.2 The Method. 5.3 The Negative Feedback Loop. 5.4 Multiple Loops. 5.5 Negative Feedback Loops on a Lattice. 5.6 Conclusions. References. 6 Translocation Dynamics and Randomness (Johan Dubbeldam, Vakhtang Rostiashvili, Andrey Milchev, and Thomas Vilgis). 6.1 Introduction. 6.2 Anomalous Diffusion Model. 6.3 Statistical Moments hsi and hs2i versus Time. 6.4 Discussion. References. Part Two Fundamental Aspects. 7 Entropy Production, the Breaking of Detailed Balance, and the Arrow of Time (Christian Van den Broeck). 7.1 Introduction. 7.2 Detailed Balance. 7.3 Stochastic Thermodynamics. 7.4 Microscopic Expression of Entropy Production. 7.5 Discussion. References. 8 Monodromy and Complexity of Quantum Systems (Boris Zhilinskii). 8.1 Introduction. 8.2 Hamiltonian Monodromy. 8.3 ClassicalQuantum Correspondence. 8.4 Lattices and Defects. 8.5 Multicomponent EnergyMomentum Map, Bidromy, and Others. 8.6 Time Evolution and Monodromy. 8.7 Perspectives. References. 9 Dynamics in Materials Science (Gérard A. Maugin and Martine Rousseau). 9.1 Introduction. 9.2 Essentials of Elasticity. 9.2.1 Finite Strain Elasticity. 9.3 The Boussinesq Paradigm and Akin Nonlinear Dispersive Systems. 9.4 A Basic Problem of Materials Science: Phase Transition Front Propagation. 9.5 Dynamic Materials. 9.6 Further Extensions: Propagation in Metamaterials and Others. References. 10 Synchronization on the Circle (Alain Sarlette and Rodolphe Sepulchre). 10.1 Introduction. 10.2 Consensus Algorithms on VectorSpaces. 10.3 Consensus Algorithms on the Circle. 10.4 Convergence Properties.10.5 Obstacles to Global Synchronization. 10.6 Algorithms for Global Synchronization. 10.7 Generalizations on Compact Homogeneou

• ISBN: 978-3-527-40931-0
• Editorial: Wiley-VCH
• Encuadernacion: Cartoné
• Páginas: 258
• Fecha Publicación: 26/01/2011
• Nº Volúmenes: 1
• Idioma: Inglés