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 …
A First Look -- Observers -- Translations -- Positions -- Rotations -- Orientations -- Review -- Velocities -- Constraints -- Review -- A Look Ahead.Multibody Mechanics and Visualization is designed to appeal to computer-savvy students who will acquire significant skills in mathematical and physical modelling of mechanical systems in the process of producing attractive computer simulations and …
Theory -- A Short Ergodic Theory Refresher -- Notes on Spectral Theory, Mixing and Transport -- Complexity, Fractal Dimensions and Topological Entropy in Dynamical Systems -- Working with Complexity Functions -- SRB distribution for Anosov maps -- Dynamical Systems Theory of Irreversibility -- Aspects of Open Quantum System Dynamics -- Energy Surfaces and Hierarchies of Bifurcations -- Phase-Sp…
Background Material -- A Dynamical Systems Point of View -- Numerical Techniques -- The Wind-Driven Circulation -- The Thermohaline Circulation -- The Dynamics and Physics of ENSO.In this book, methodology of dynamical systems theory is applied to investigate the physics of the large-scale ocean circulation. Topics include the dynamics of western boundary currents such as the Gulf Stream in the…
Switching and Control -- From Feedback Control to Complexity Management: A Personal Perspective -- Convex Cones, Lyapunov Functions, and the Stability of Switched Linear Systems -- Survey of Explicit Approaches to Constrained Optimal Control -- Gaussian Processes -- Analysis of Some Methods for Reduced Rank Gaussian Process Regression -- Filtered Gaussian Processes for Learning with Large Data-…
Mathematical Methods -- Passive Scalar Diffusion as a Damped Wave -- Extremalizing Vector Fields as Guides Toward Understanding Properties of Turbulence -- Low-Wavenumber Forcing and Turbulent Energy Dissipation -- New Potential Symmetries for a Generalised Inhomogeneus Nonlinear Diffusion Equation -- DNS and New Scaling Laws of ZPG Turbulent Boundary Layer Flow -- Linear Instability of a Slowl…