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The main idea of this book is, on the grounds of the differential-geometric structures of the (Ln, g)-spaces and the kinematics of vector fields to set the stage for the study of physical and gravitational physical interactions. In order to accomplish this task, the book is divided into three parts. Part one briefly reviews and introduces the problems of theoretical gravitational physics. Part two deals with the theory of differentiable manifolds with contravariant affine connections and metrics. The third part investigates the kinematics of vector fields over (Ln, g)-spaces.
The main idea of this book is, on the grounds of the differential-geometric structures of the (Ln, g)-spaces and the kinematics of vector fields to set the stage for the study of physical and gravitational physical interactions. In order to accomplish this task, the book is divided into three parts. Part one briefly reviews and introduces the problems of theoretical gravitational physics. Part two deals with the theory of differentiable manifolds with contravariant affine connections and metrics. The third part investigates the kinematics of vector fields over (Ln, g)-spaces.
The work done in chaotic modeling and simulation during the last decades has changed our views of the world around us and has introduced new scientific tools, methods and techniques. Advanced topics of these achievements are included in this volume on Chaos Theory which focuses on Chaotic Modeling, Simulation and Applications of the nonlinear phenomena. This volume includes the best papers presented in the 3rd International Conference on CHAOS. This interdisciplinary conference attracted people from many scientific fields dealing with chaos, nonlinear dynamics, fractals and the works presented and the papers included here are of particular interest that could provide a broad understanding of chaos in its various forms. The chapters relate to many fields of chaos including Dynamical and Nonlinear Systems, Attractors and Fractals, Hydro-Fluid Dynamics and Mechanics, Chaos in Meteorology and Cosmology, Chaos in Biology and Genetics, Chaotic Control, Chaos in Economy and Markets, and Computer Composition and Chaotic Simulations, including related applications. Contents:Nonlinearity of Earth: Astonishing Diversity and Wide Prospects (O B Khavroshkin & V V Tsyplakov)On a Problem of Approximation of Markov Chains by a Solution of a Stochastic Differential Equation (Gabriel V Orman)Modeling Recent Economic Debates (Christos H Skiadas)On Logistic-Like Iterative Maps (Dimitrios A Sotiropoulos)Exploring Process of Fibre Breaking in Tube Samples of Composite During Quasi-Static Process of Fracture (Dorota Aniszewska & Marek Rybaczuk)Non Hamiltonian Chaos from Nambu Dynamics of Surfaces (Minos Axenides)Multifractal and Wavelet Analysis of Epileptic Seizures (Olga E Dick & Irina A Mochovikova)Aesthetic Considerations in Algorithmic and Generative Composition (Kerry L Hagan)Freedom and Necessity in Computer Aided Composition: A Thinking Framework and Its Application (Johannes Kretz)Rendering Statistical Significance of Information Flow Measures (Angeliki Papana & Dimitris Kugiumtzis)and other papers Readership: Undergraduate and graduate students and researchers in nonlinear systems and dynamics, complex systems and fluid mechanics; mathematicians; physicists; general scientists and engineers. Keywords:Chaos;Nonlinear;Simulation;Modeling;Chaotic Modeling;Dynamical Systems;Hamiltonian;Plasma Physics;Mechanics;Hydro-Fluid Dynamics;Nonlinear DynamicsKey Features:Contains an interdisciplinary approach of the most recent contributions in chaotic modeling and simulationThe topic on chaos encompasses many scientific fieldsRecent advances in different fields are emphasized
Model Validation and Uncertainty Quantification, Volume 3. Proceedings of the 33rd IMAC, A Conference and Exposition on Balancing Simulation and Testing, 2015, the third volume of ten from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Uncertainty Quantification & Model Validation Uncertainty Propagation in Structural Dynamics Bayesian & Markov Chain Monte Carlo Methods Practical Applications of MVUQ Advances in MVUQ & Model Updating
This volume provides the latest developments in the field of fractional dynamics, which covers fractional (anomalous) transport phenomena, fractional statistical mechanics, fractional quantum mechanics and fractional quantum field theory. The contributors are selected based on their active and important contributions to their respective topics. This volume is the first of its kind that covers such a comprehensive range of topics in fractional dynamics. It will point out to advanced undergraduate and graduate students, and young researchers the possible directions of research in this subject. In addition to those who intend to work in this field and those already in the field, this volume will also be useful for researchers not directly involved in the field, but want to know the current status and trends of development in this subject. This latter group includes theoretical chemists, mathematical biologists and engineers.

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