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Author: Thomas P. Weissert Publisher: Springer Science & Business Media ISBN: 1461219566 Category : Science Languages : en Pages : 184
Book Description
An introduction to certain aspects of developments in the modern theory of dynamics and simulation for a wide audience of scientifically literate readers. Unlike general texts on chaos theory and dynamical systems theory, this book follows the work on a specific problem at the very beginning of the modern era of dynamics, from its inception in 1954 through the early 1970s. It discusses such problems as the nonlinear oscillator simulation, the seminal discoveries at MIT in the early 1950s, the mathematical rediscovery of solitons in the late 1950s and the general problems of computability. In following these developments, the initial development of many of the now standard techniques of nonlinear modelling and numerical simulation are seen. No other text focuses so tightly and covers so completely one specific, pernicious problem at the heart of dynamics.
Author: Thomas P. Weissert Publisher: Springer Science & Business Media ISBN: 1461219566 Category : Science Languages : en Pages : 184
Book Description
An introduction to certain aspects of developments in the modern theory of dynamics and simulation for a wide audience of scientifically literate readers. Unlike general texts on chaos theory and dynamical systems theory, this book follows the work on a specific problem at the very beginning of the modern era of dynamics, from its inception in 1954 through the early 1970s. It discusses such problems as the nonlinear oscillator simulation, the seminal discoveries at MIT in the early 1950s, the mathematical rediscovery of solitons in the late 1950s and the general problems of computability. In following these developments, the initial development of many of the now standard techniques of nonlinear modelling and numerical simulation are seen. No other text focuses so tightly and covers so completely one specific, pernicious problem at the heart of dynamics.
Author: James M. Bower Publisher: Springer Verlag ISBN: Category : Computers Languages : en Pages : 440
Book Description
This title introduces and guides the reader through Genesis, a simulation and modeling software tool that is delivered on-line via the Internet from a California Institute of Technology file server. It contains a contribution of models and simulations, plus step-by-step tutorials. 50 illustrations. Approx.
Author: Robert F. Stengel Publisher: Princeton University Press ISBN: 0691237042 Category : Science Languages : en Pages : 914
Book Description
An updated and expanded new edition of an authoritative book on flight dynamics and control system design for all types of current and future fixed-wing aircraft Since it was first published, Flight Dynamics has offered a new approach to the science and mathematics of aircraft flight, unifying principles of aeronautics with contemporary systems analysis. Now updated and expanded, this authoritative book by award-winning aeronautics engineer Robert Stengel presents traditional material in the context of modern computational tools and multivariable methods. Special attention is devoted to models and techniques for analysis, simulation, evaluation of flying qualities, and robust control system design. Using common notation and not assuming a strong background in aeronautics, Flight Dynamics will engage a wide variety of readers, including aircraft designers, flight test engineers, researchers, instructors, and students. It introduces principles, derivations, and equations of flight dynamics as well as methods of flight control design with frequent reference to MATLAB functions and examples. Topics include aerodynamics, propulsion, structures, flying qualities, flight control, and the atmospheric and gravitational environment. The second edition of Flight Dynamics features up-to-date examples; a new chapter on control law design for digital fly-by-wire systems; new material on propulsion, aerodynamics of control surfaces, and aeroelastic control; many more illustrations; and text boxes that introduce general mathematical concepts. Features a fluid, progressive presentation that aids informal and self-directed study Provides a clear, consistent notation that supports understanding, from elementary to complicated concepts Offers a comprehensive blend of aerodynamics, dynamics, and control Presents a unified introduction of control system design, from basics to complex methods Includes links to online MATLAB software written by the author that supports the material covered in the book
Author: Alberto A. Pinto Publisher: Springer ISBN: 3319740865 Category : Mathematics Languages : en Pages : 469
Book Description
The research and review papers presented in this volume provide an overview of the main issues, findings, and open questions in cutting-edge research on the fields of modeling, optimization and dynamics and their applications to biology, economics, energy, finance, industry, physics and psychology. Given the scientific relevance of the innovative applications and emerging issues they address, the contributions to this volume, written by some of the world’s leading experts in mathematics, economics and other applied sciences, will be seminal to future research developments and will spark future works and collaborations. The majority of the papers presented in this volume were written by participants of the 4th International Conference on Dynamics, Games and Science: Decision Models in a Complex Economy (DGS IV), held at the National Distance Education University (UNED) in Madrid, Spain in June 2016 and of the 8th Berkeley Bioeconomy Conference: The Future of Biofuels, held at the UC Berkeley Alumni House in April 2015.
Author: Nicolas Bacaër Publisher: Springer Science & Business Media ISBN: 0857291157 Category : Mathematics Languages : en Pages : 160
Book Description
As Eugene Wigner stressed, mathematics has proven unreasonably effective in the physical sciences and their technological applications. The role of mathematics in the biological, medical and social sciences has been much more modest but has recently grown thanks to the simulation capacity offered by modern computers. This book traces the history of population dynamics---a theoretical subject closely connected to genetics, ecology, epidemiology and demography---where mathematics has brought significant insights. It presents an overview of the genesis of several important themes: exponential growth, from Euler and Malthus to the Chinese one-child policy; the development of stochastic models, from Mendel's laws and the question of extinction of family names to percolation theory for the spread of epidemics, and chaotic populations, where determinism and randomness intertwine. The reader of this book will see, from a different perspective, the problems that scientists face when governments ask for reliable predictions to help control epidemics (AIDS, SARS, swine flu), manage renewable resources (fishing quotas, spread of genetically modified organisms) or anticipate demographic evolutions such as aging.
Author: Rama B. Bhat Publisher: CRC Press ISBN: 9780849310188 Category : Mathematics Languages : en Pages : 416
Book Description
Understanding the dynamic behavior of complex engineering structures, mechanisms, and components requires more than just a basic course in dynamics, and it requires more than the ability to use computer programs to obtain numerical solutions to problems encountered in practice. Advanced Dynamics extends its readers knowledge from the relatively simple concepts of basic dynamics to the more abstract ideas related to virtual displacements, virtual work, generalized coordinates, and variation principles. The authors' presentation gradually introduces the abstract concepts often intimidating to students, and, while doing so, furnish numerous exercises and worked examples that ease the difficulties often experienced when trying to apply the abstract concepts to physical systems. While their emphasis is on students' understanding and intuition, the authors not only address the methods and means of formulating mathematical models of physical systems, they also discuss methods of solution, including a full chapter on numerical techniques. Designed for senior undergraduate and postgraduate students in mechanical engineering, Advanced Dynamics also forms a trustworthy reference for engineers and other professionals working in areas such as robotics, multibody spacecraft, altitude control, and the design of complex mechanical devices.
Author: Shu-Heng Chen Publisher: Oxford University Press ISBN: 0199844372 Category : Business & Economics Languages : en Pages : 785
Book Description
The Oxford Handbook of Computational Economics and Finance provides a survey of both the foundations of and recent advances in the frontiers of analysis and action. It is both historically and interdisciplinarily rich and also tightly connected to the rise of digital society. It begins with the conventional view of computational economics, including recent algorithmic development in computing rational expectations, volatility, and general equilibrium. It then moves from traditional computing in economics and finance to recent developments in natural computing, including applications of nature-inspired intelligence, genetic programming, swarm intelligence, and fuzzy logic. Also examined are recent developments of network and agent-based computing in economics. How these approaches are applied is examined in chapters on such subjects as trading robots and automated markets. The last part deals with the epistemology of simulation in its trinity form with the integration of simulation, computation, and dynamics. Distinctive is the focus on natural computationalism and the examination of the implications of intelligent machines for the future of computational economics and finance. Not merely individual robots, but whole integrated systems are extending their "immigration" to the world of Homo sapiens, or symbiogenesis.
Author: Steven H. Strogatz Publisher: CRC Press ISBN: 0429961111 Category : Mathematics Languages : en Pages : 532
Book Description
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
Author: Donald Leo Thompson Publisher: World Scientific ISBN: 9789810233426 Category : Science Languages : en Pages : 764
Book Description
This volume describes many of the key practical theoretical techniques that have been developed to treat chemical dynamics problems in many-atom systems. It contains thorough treatments of fundamental theory and prescriptions for performing computations. The selection of methods, ranging from gas phase bimolecular reactions to complex processes in condensed phases, reflects the breadth of the field.The book is an excellent reference for proven and accepted methods as well as for theoretical approaches that are still being developed. It is appropriate for graduate students and other ?novices? who wish to begin working in chemical dynamics as well as active researchers who wish to acquire a wider knowledge of the field.
Author: Peter Sloot Publisher: Springer Science & Business Media ISBN: 3540401970 Category : Computers Languages : en Pages : 1188
Book Description
The four-volume set LNCS 2657, LNCS 2658, LNCS 2659, and LNCS 2660 constitutes the refereed proceedings of the Third International Conference on Computational Science, ICCS 2003, held concurrently in Melbourne, Australia and in St. Petersburg, Russia in June 2003. The four volumes present more than 460 reviewed contributed and invited papers and span the whole range of computational science, from foundational issues in computer science and algorithmic mathematics to advanced applications in virtually all application fields making use of computational techniques. These proceedings give a unique account of recent results in the field.
Author: Thomas P. Weissert
Author: Thomas P. Weissert
Author: James M. Bower
Author: Robert F. Stengel
Author: Alberto A. Pinto
Author: Nicolas Bacaër
Author: Rama B. Bhat
Author: Shu-Heng Chen
Author: Steven H. Strogatz
Author: Donald Leo Thompson
Author: Peter Sloot