Dynamical Systems With Applications Using Python

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Dynamical Systems with Applications using Python

Stephen Lynch
Dynamical Systems with Applications using Python Book PDF

Author : Stephen Lynch
Publisher : Springer
Page : 665 pages
File Size : 44,7 Mb
Release : 2018-10-09
Category : Mathematics
ISBN : 9783319781457

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Dynamical Systems with Applications using Python by Stephen Lynch Pdf

This textbook provides a broad introduction to continuous and discrete dynamical systems. With its hands-on approach, the text leads the reader from basic theory to recently published research material in nonlinear ordinary differential equations, nonlinear optics, multifractals, neural networks, and binary oscillator computing. Dynamical Systems with Applications Using Python takes advantage of Python’s extensive visualization, simulation, and algorithmic tools to study those topics in nonlinear dynamical systems through numerical algorithms and generated diagrams. After a tutorial introduction to Python, the first part of the book deals with continuous systems using differential equations, including both ordinary and delay differential equations. The second part of the book deals with discrete dynamical systems and progresses to the study of both continuous and discrete systems in contexts like chaos control and synchronization, neural networks, and binary oscillator computing. These later sections are useful reference material for undergraduate student projects. The book is rounded off with example coursework to challenge students’ programming abilities and Python-based exam questions. This book will appeal to advanced undergraduate and graduate students, applied mathematicians, engineers, and researchers in a range of disciplines, such as biology, chemistry, computing, economics, and physics. Since it provides a survey of dynamical systems, a familiarity with linear algebra, real and complex analysis, calculus, and ordinary differential equations is necessary, and knowledge of a programming language like C or Java is beneficial but not essential.

Data-Driven Science and Engineering

Steven L. Brunton,J. Nathan Kutz
Data Driven Science and Engineering Book PDF

Author : Steven L. Brunton,J. Nathan Kutz
Publisher : Cambridge University Press
Page : 615 pages
File Size : 41,8 Mb
Release : 2022-05-05
Category : Computers
ISBN : 9781009098489

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Data-Driven Science and Engineering by Steven L. Brunton,J. Nathan Kutz Pdf

A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLAB®.

Dynamical Systems with Applications using MATLAB®

Stephen Lynch
Dynamical Systems with Applications using MATLAB Book PDF

Author : Stephen Lynch
Publisher : Springer
Page : 514 pages
File Size : 42,6 Mb
Release : 2014-07-22
Category : Mathematics
ISBN : 9783319068206

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Dynamical Systems with Applications using MATLAB® by Stephen Lynch Pdf

This textbook, now in its second edition, provides a broad introduction to both continuous and discrete dynamical systems, the theory of which is motivated by examples from a wide range of disciplines. It emphasizes applications and simulation utilizing MATLAB®, Simulink®, the Image Processing Toolbox® and the Symbolic Math toolbox®, including MuPAD. Features new to the second edition include · sections on series solutions of ordinary differential equations, perturbation methods, normal forms, Gröbner bases, and chaos synchronization; · chapters on image processing and binary oscillator computing; · hundreds of new illustrations, examples, and exercises with solutions; and · over eighty up-to-date MATLAB program files and Simulink model files available online. These files were voted MATLAB Central Pick of the Week in July 2013. The hands-on approach of Dynamical Systems with Applications using MATLAB, Second Edition, has minimal prerequisites, only requiring familiarity with ordinary differential equations. It will appeal to advanced undergraduate and graduate students, applied mathematicians, engineers, and researchers in a broad range of disciplines such as population dynamics, biology, chemistry, computing, economics, nonlinear optics, neural networks, and physics. Praise for the first edition Summing up, it can be said that this text allows the reader to have an easy and quick start to the huge field of dynamical systems theory. MATLAB/SIMULINK facilitate this approach under the aspect of learning by doing. —OR News/Operations Research Spectrum The MATLAB programs are kept as simple as possible and the author's experience has shown that this method of teaching using MATLAB works well with computer laboratory classes of small sizes.... I recommend ‘Dynamical Systems with Applications using MATLAB’ as a good handbook for a diverse readership: graduates and professionals in mathematics, physics, science and engineering. —Mathematica

Dynamical Systems with Applications using MATLAB®

Stephen Lynch
Dynamical Systems with Applications using MATLAB Book PDF

Author : Stephen Lynch
Publisher : Springer Science & Business Media
Page : 458 pages
File Size : 41,7 Mb
Release : 2013-12-01
Category : Technology & Engineering
ISBN : 9780817681562

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Dynamical Systems with Applications using MATLAB® by Stephen Lynch Pdf

This introduction to dynamical systems theory guides readers through theory via example and the graphical MATLAB interface; the SIMULINK® accessory is used to simulate real-world dynamical processes. Examples included are from mechanics, electrical circuits, economics, population dynamics, epidemiology, nonlinear optics, materials science and neural networks. The book contains over 330 illustrations, 300 examples, and exercises with solutions.

Dynamical Systems with Applications using Mathematica®

Stephen Lynch
Dynamical Systems with Applications using Mathematica Book PDF

Author : Stephen Lynch
Publisher : Springer Science & Business Media
Page : 481 pages
File Size : 51,5 Mb
Release : 2007-09-20
Category : Mathematics
ISBN : 9780817645861

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Dynamical Systems with Applications using Mathematica® by Stephen Lynch Pdf

This book provides an introduction to the theory of dynamical systems with the aid of the Mathematica® computer algebra package. The book has a very hands-on approach and takes the reader from basic theory to recently published research material. Emphasized throughout are numerous applications to biology, chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics, population dynamics, and neural networks. Theorems and proofs are kept to a minimum. The first section deals with continuous systems using ordinary differential equations, while the second part is devoted to the study of discrete dynamical systems.

Dynamical Systems with Applications using MapleTM

Stephen Lynch
Dynamical Systems with Applications using MapleTM Book PDF

Author : Stephen Lynch
Publisher : Springer Science & Business Media
Page : 512 pages
File Size : 41,6 Mb
Release : 2009-12-23
Category : Mathematics
ISBN : 9780817646059

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Dynamical Systems with Applications using MapleTM by Stephen Lynch Pdf

Excellent reviews of the first edition (Mathematical Reviews, SIAM, Reviews, UK Nonlinear News, The Maple Reporter) New edition has been thoroughly updated and expanded to include more applications, examples, and exercises, all with solutions Two new chapters on neural networks and simulation have also been added Wide variety of topics covered with applications to many fields, including mechanical systems, chemical kinetics, economics, population dynamics, nonlinear optics, and materials science Accessible to a broad, interdisciplinary audience of readers with a general mathematical background, including senior undergraduates, graduate students, and working scientists in various branches of applied mathematics, the natural sciences, and engineering A hands-on approach is used with Maple as a pedagogical tool throughout; Maple worksheet files are listed at the end of each chapter, and along with commands, programs, and output may be viewed in color at the author’s website with additional applications and further links of interest at Maplesoft’s Application Center

Mathematical Programming for Power Systems Operation

Alejandro Garcés
Mathematical Programming for Power Systems Operation Book PDF

Author : Alejandro Garcés
Publisher : John Wiley & Sons
Page : 293 pages
File Size : 55,9 Mb
Release : 2021-12-01
Category : Science
ISBN : 9781119747284

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Mathematical Programming for Power Systems Operation by Alejandro Garcés Pdf

Explore the theoretical foundations and real-world power system applications of convex programming In Mathematical Programming for Power System Operation with Applications in Python, Professor Alejandro Garces delivers a comprehensive overview of power system operations models with a focus on convex optimization models and their implementation in Python. Divided into two parts, the book begins with a theoretical analysis of convex optimization models before moving on to related applications in power systems operations. The author eschews concepts of topology and functional analysis found in more mathematically oriented books in favor of a more natural approach. Using this perspective, he presents recent applications of convex optimization in power system operations problems. Mathematical Programming for Power System Operation with Applications in Python uses Python and CVXPY as tools to solve power system optimization problems and includes models that can be solved with the presented framework. The book also includes: A thorough introduction to power system operation, including economic and environmental dispatch, optimal power flow, and hosting capacity Comprehensive explorations of the mathematical background of power system operation, including quadratic forms and norms and the basic theory of optimization Practical discussions of convex functions and convex sets, including affine and linear spaces, politopes, balls, and ellipsoids In-depth examinations of convex optimization, including global optimums, and first and second order conditions Perfect for undergraduate students with some knowledge in power systems analysis, generation, or distribution, Mathematical Programming for Power System Operation with Applications in Python is also an ideal resource for graduate students and engineers practicing in the area of power system optimization.

Dynamical Systems, Graphs, and Algorithms

George Osipenko
Dynamical Systems Graphs and Algorithms Book PDF

Author : George Osipenko
Publisher : Springer
Page : 288 pages
File Size : 55,6 Mb
Release : 2006-10-28
Category : Mathematics
ISBN : 9783540355953

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Dynamical Systems, Graphs, and Algorithms by George Osipenko Pdf

This book describes a family of algorithms for studying the global structure of systems. By a finite covering of the phase space we construct a directed graph with vertices corresponding to cells of the covering and edges corresponding to admissible transitions. The method is used, among other things, to locate the periodic orbits and the chain recurrent set, to construct the attractors and their basins, to estimate the entropy, and more.

Learning for Adaptive and Reactive Robot Control

Aude Billard,Sina Mirrazavi,Nadia Figueroa
Learning for Adaptive and Reactive Robot Control Book PDF

Author : Aude Billard,Sina Mirrazavi,Nadia Figueroa
Publisher : MIT Press
Page : 425 pages
File Size : 51,7 Mb
Release : 2022-02-08
Category : Technology & Engineering
ISBN : 9780262367011

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Learning for Adaptive and Reactive Robot Control by Aude Billard,Sina Mirrazavi,Nadia Figueroa Pdf

Methods by which robots can learn control laws that enable real-time reactivity using dynamical systems; with applications and exercises. This book presents a wealth of machine learning techniques to make the control of robots more flexible and safe when interacting with humans. It introduces a set of control laws that enable reactivity using dynamical systems, a widely used method for solving motion-planning problems in robotics. These control approaches can replan in milliseconds to adapt to new environmental constraints and offer safe and compliant control of forces in contact. The techniques offer theoretical advantages, including convergence to a goal, non-penetration of obstacles, and passivity. The coverage of learning begins with low-level control parameters and progresses to higher-level competencies composed of combinations of skills. Learning for Adaptive and Reactive Robot Control is designed for graduate-level courses in robotics, with chapters that proceed from fundamentals to more advanced content. Techniques covered include learning from demonstration, optimization, and reinforcement learning, and using dynamical systems in learning control laws, trajectory planning, and methods for compliant and force control . Features for teaching in each chapter: applications, which range from arm manipulators to whole-body control of humanoid robots; pencil-and-paper and programming exercises; lecture videos, slides, and MATLAB code examples available on the author’s website . an eTextbook platform website offering protected material[EPS2] for instructors including solutions.

Approximation of Large-Scale Dynamical Systems

Athanasios C. Antoulas
Approximation of Large Scale Dynamical Systems Book PDF

Author : Athanasios C. Antoulas
Publisher : SIAM
Page : 489 pages
File Size : 50,7 Mb
Release : 2009-06-25
Category : Mathematics
ISBN : 9780898716580

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Approximation of Large-Scale Dynamical Systems by Athanasios C. Antoulas Pdf

Mathematical models are used to simulate, and sometimes control, the behavior of physical and artificial processes such as the weather and very large-scale integration (VLSI) circuits. The increasing need for accuracy has led to the development of highly complex models. However, in the presence of limited computational accuracy and storage capabilities model reduction (system approximation) is often necessary. Approximation of Large-Scale Dynamical Systems provides a comprehensive picture of model reduction, combining system theory with numerical linear algebra and computational considerations. It addresses the issue of model reduction and the resulting trade-offs between accuracy and complexity. Special attention is given to numerical aspects, simulation questions, and practical applications.

Non-Linear Differential Equations and Dynamical Systems

LUIS MANUEL. BRAGA DA COSTA CAMPOS
Non Linear Differential Equations and Dynamical Systems Book PDF

Author : LUIS MANUEL. BRAGA DA COSTA CAMPOS
Publisher : Unknown
Page : 0 pages
File Size : 44,8 Mb
Release : 2024-06-25
Category : Electronic
ISBN : 1032653728

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Non-Linear Differential Equations and Dynamical Systems by LUIS MANUEL. BRAGA DA COSTA CAMPOS Pdf

This the second book of Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-Volume Set, in the Mathematics and Physics for Science and Technology series. This book considers general first-order differential equations, including non-linear and with variable coefficients.

Multi-Agent Systems

Adelinde M. Uhrmacher,Danny Weyns
Multi Agent Systems Book PDF

Author : Adelinde M. Uhrmacher,Danny Weyns
Publisher : CRC Press
Page : 582 pages
File Size : 43,8 Mb
Release : 2018-10-08
Category : Computers
ISBN : 9781420070248

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Multi-Agent Systems by Adelinde M. Uhrmacher,Danny Weyns Pdf

Methodological Guidelines for Modeling and Developing MAS-Based Simulations The intersection of agents, modeling, simulation, and application domains has been the subject of active research for over two decades. Although agents and simulation have been used effectively in a variety of application domains, much of the supporting research remains scattered in the literature, too often leaving scientists to develop multi-agent system (MAS) models and simulations from scratch. Multi-Agent Systems: Simulation and Applications provides an overdue review of the wide ranging facets of MAS simulation, including methodological and application-oriented guidelines. This comprehensive resource reviews two decades of research in the intersection of MAS, simulation, and different application domains. It provides scientists and developers with disciplined engineering approaches to modeling and developing MAS-based simulations. After providing an overview of the field’s history and its basic principles, as well as cataloging the various simulation engines for MAS, the book devotes three sections to current and emerging approaches and applications. Simulation for MAS — explains simulation support for agent decision making, the use of simulation for the design of self-organizing systems, the role of software architecture in simulating MAS, and the use of simulation for studying learning and stigmergic interaction. MAS for Simulation — discusses an agent-based framework for symbiotic simulation, the use of country databases and expert systems for agent-based modeling of social systems, crowd-behavior modeling, agent-based modeling and simulation of adult stem cells, and agents for traffic simulation. Tools — presents a number of representative platforms and tools for MAS and simulation, including Jason, James II, SeSAm, and RoboCup Rescue. Complete with over 200 figures and formulas, this reference book provides the necessary overview of experiences with MAS simulation and the tools needed to exploit simulation in MAS for future research in a vast array of applications including home security, computational systems biology, and traffic management.

Hidden Markov Models and Dynamical Systems

Andrew M. Fraser
Hidden Markov Models and Dynamical Systems Book PDF

Author : Andrew M. Fraser
Publisher : SIAM
Page : 141 pages
File Size : 45,7 Mb
Release : 2008-01-01
Category : Mathematics
ISBN : 9780898716658

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Hidden Markov Models and Dynamical Systems by Andrew M. Fraser Pdf

Presents algorithms for using HMMs and explains the derivation of those algorithms for the dynamical systems community.

Neuronal Dynamics

Wulfram Gerstner,Werner M. Kistler,Richard Naud,Liam Paninski
Neuronal Dynamics Book PDF

Author : Wulfram Gerstner,Werner M. Kistler,Richard Naud,Liam Paninski
Publisher : Cambridge University Press
Page : 591 pages
File Size : 40,7 Mb
Release : 2014-07-24
Category : Computers
ISBN : 9781107060838

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Neuronal Dynamics by Wulfram Gerstner,Werner M. Kistler,Richard Naud,Liam Paninski Pdf

This solid introduction uses the principles of physics and the tools of mathematics to approach fundamental questions of neuroscience.

Programming for Computations - Python

Svein Linge,Hans Petter Langtangen
Programming for Computations Python Book PDF

Author : Svein Linge,Hans Petter Langtangen
Publisher : Springer
Page : 244 pages
File Size : 42,9 Mb
Release : 2016-07-25
Category : Computers
ISBN : 9783319324289

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Programming for Computations - Python by Svein Linge,Hans Petter Langtangen Pdf

This book presents computer programming as a key method for solving mathematical problems. There are two versions of the book, one for MATLAB and one for Python. The book was inspired by the Springer book TCSE 6: A Primer on Scientific Programming with Python (by Langtangen), but the style is more accessible and concise, in keeping with the needs of engineering students. The book outlines the shortest possible path from no previous experience with programming to a set of skills that allows the students to write simple programs for solving common mathematical problems with numerical methods in engineering and science courses. The emphasis is on generic algorithms, clean design of programs, use of functions, and automatic tests for verification.