Introduction -- Four Hamiltonian Systems -- Small Vibrations of Tetrahedral Molecules -- The Hydrogen Atom in Crossed Fields -- Quadratic Spherical Pendula -- Fractional Monodromy in the 1: - 2 Resonance System -- The Tetrahedral Group -- Local Properties of Equilibria -- References -- Index.Modern notions and important tools of classical mechanics are used in the study of concrete examples tha…
Dynamique qualitative et théorie des oscillations -- La théorie de la stabilité -- La théorie des bifurcations -- La théorie classique des perturbations et les perturbations singulières -- Systèmes d’oscillateurs couplés -- Solutions ondes stationnaires et systèmes dynamiques -- Electrophysiologie, synchronisation et oscillations en salves.Par sa nature pluridisciplinaire, ce livre s…
The Dilute Bose Gas in 3D -- The Dilute Bose Gas in 2D -- Generalized Poincaré Inequalities -- Bose-Einstein Condensation and Superfluidity for Homogeneous Gases -- Gross-Pitaevskii Equation for Trapped Bosons -- Bose-Einstein Condensation and Superfluidity for Dilute Trapped Gases -- One-Dimensional Behavior of Dilute Bose Gases in Traps -- Two-Dimensional Behavior in Disc-Shaped Traps -- The…
Part I: The Neural Foundations -- From Classical Connectionist Models to Probabilistic / Generalised Regression Neural Networks (PNNs / GRNNs) -- The Kernel Memory Concept – A Paradigm Shift from Conventional Connectionism -- The Self-Organising Kernel Memory (SOKM) -- Part II: Artificial Mind Systems -- The Artificial Mind System (AMS), Modules, and their Interactions -- Sensation and Percep…
The Construction, and Other General Results -- Some Basic Tools -- Spin Systems -- Stochastic Ising Models -- The Voter Model -- The Contact Process -- Nearest-Particle Systems -- The Exclusion Process -- Linear Systems with Values in [0, ?)s.From the reviews "[...] This book presents a complete treatment of a new class of random processes, which have been studied intensively during the last fi…
From the contents: An Efficient QR algorithm for a Hessenberg Submatrix of a Unitary Matrix -- Quantum subRiemannian dynamics -- A Homotopy Continuation Solution of the Covariance Extension Equation -- Set-point boundary control for a viscous Burgers equation -- Semi-tensor Product of Matrices and its Applications to Dynamic Systems -- From Empirical Data to Multi-Modal Control Procedures -- Du…
A Multidomain Spectral Collocation Method for Computational Electromagnetics with Application to Optical Waveguides -- Thermonuclear Supernovae: Combining Astrophysical and Terrestrial Combustion -- Hypersonic Magneto-Aerodynamic Interaction -- Some Remarks on the CFD Research for Space Transportation System Development -- Development of Implicit Large Eddy Simulation -- DNA Computing Based on …
Part I Deterministic Methods and Procedures. Spectral Analysis of Finite Dimensional Operators. Finite Element Method. Non-Linear Static Analysis. Dynamic Analysis -- Part II Probabilistic Methods and Procedures. Rational Treatment of Uncertainties. Karhunen-Loève Expansion. Direct Monte Carlo Simulation. Equivalent Statistical Linearization. Random Vibrations of Large Finite Element Systems -…
Uncertainty and Surprise: An Introduction -- Understanding Social and Economic Systems as Evolutionary Complex Systems -- Managing the Unexpected -- Surprises in Half of a Century -- An Integrated View of Uncertainty and Surprise -- Fundamental 'Uncertainty' in Science -- The Complementary Nature of Coordination Dynamics: Self-Organization and the Creation of Information -- The tyranny of Many …
Modern Electronic Structure Theory for Complex Properties of Magnetic Materials -- Monte Carlo Studies of Surface and Interface Effects in Magnetic Nanoparticles -- Magnetic Nanoparticles as Many-Spin Systems -- From Finite Size and Surface Effects to Glassy Behaviour in Ferrimagnetic Nanoparticles -- Effect of Surface Anisotropy on the Magnetic Resonance Properties of Nanosize Ferroparticles -…