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Título : Dynamical Systems with Applications using Mathematica® Tipo de documento: documento electrónico Autores: Stephen Lynch ; SpringerLink (Online service) Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2007 Número de páginas: XV, 484 p Il.: online resource ISBN/ISSN/DL: 978-0-8176-4586-1 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Differential equations Applied mathematics Engineering Statistical physics Dynamical systems Computational intelligence Applications of Ordinary Equations Physics, Systems and Complexity Appl.Mathematics/Computational Methods Intelligence Clasificación: 51 Matemáticas Resumen: Dynamical Systems with Applications using Mathematica® 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. Mathematica’s symbolic, numerical, and graphical capabilities make it ideal for the study of nonlinear dynamical systems. An introductory chapter provides complete tutorials on how to use Mathematica’s text-based input commands and palettes, enabling new users to become familiar with the program, while providing a good reference source for experts. Working Mathematica notebooks will be available at http://library.wolfram.com/infocenter/Books/AppliedMathematics/. Throughout the book, the author has focused on breadth of coverage rather than fine detail, with theorems and proofs being kept to a minimum. The first part of the book deals with continuous systems using ordinary differential equations, while the second part is devoted to the study of discrete dynamical systems. Some of the material presented is at the postgraduate level and has been influenced by the author’s own research interests. Exercises are included at the end of every chapter. A comprehensive bibliography including textbooks and research papers rounds out the work. The book is intended for senior undergraduate and graduate students as well as working scientists in applied mathematics, the natural sciences, and engineering. Many chapters of the book are especially useful as reference material for senior undergraduate independent project work. Also by the author: Dynamical Systems with Applications using MATLAB®, ISBN 978-0-8176-4321-8 Dynamical Systems with Applications using Maple, ISBN 978-0-8176-4150-4 Nota de contenido: A Tutorial Introduction to Mathematica -- Differential Equations -- Planar Systems -- Interacting Species -- Limit Cycles -- Hamiltonian Systems, Lyapunov Functions, and Stability -- Bifurcation Theory -- Three-Dimensional Autonomous Systems and Chaos -- Poincaré Maps and Nonautonomous Systems in the Plane -- Local and Global Bifurcations -- The Second Part of Hilbert’s Sixteenth Problem -- Linear Discrete Dynamical Systems -- Nonlinear Discrete Dynamical Systems -- Complex Iterative Maps -- Electromagnetic Waves and Optical Resonators -- Fractals and Multifractals -- Chaos Control and Synchronization -- Neural Networks -- Examination-Type Questions -- Solutions to Exercises En línea: http://dx.doi.org/10.1007/978-0-8176-4586-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34562 Dynamical Systems with Applications using Mathematica® [documento electrónico] / Stephen Lynch ; SpringerLink (Online service) . - Boston, MA : Birkhäuser Boston, 2007 . - XV, 484 p : online resource.
ISBN : 978-0-8176-4586-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Differential equations Applied mathematics Engineering Statistical physics Dynamical systems Computational intelligence Applications of Ordinary Equations Physics, Systems and Complexity Appl.Mathematics/Computational Methods Intelligence Clasificación: 51 Matemáticas Resumen: Dynamical Systems with Applications using Mathematica® 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. Mathematica’s symbolic, numerical, and graphical capabilities make it ideal for the study of nonlinear dynamical systems. An introductory chapter provides complete tutorials on how to use Mathematica’s text-based input commands and palettes, enabling new users to become familiar with the program, while providing a good reference source for experts. Working Mathematica notebooks will be available at http://library.wolfram.com/infocenter/Books/AppliedMathematics/. Throughout the book, the author has focused on breadth of coverage rather than fine detail, with theorems and proofs being kept to a minimum. The first part of the book deals with continuous systems using ordinary differential equations, while the second part is devoted to the study of discrete dynamical systems. Some of the material presented is at the postgraduate level and has been influenced by the author’s own research interests. Exercises are included at the end of every chapter. A comprehensive bibliography including textbooks and research papers rounds out the work. The book is intended for senior undergraduate and graduate students as well as working scientists in applied mathematics, the natural sciences, and engineering. Many chapters of the book are especially useful as reference material for senior undergraduate independent project work. Also by the author: Dynamical Systems with Applications using MATLAB®, ISBN 978-0-8176-4321-8 Dynamical Systems with Applications using Maple, ISBN 978-0-8176-4150-4 Nota de contenido: A Tutorial Introduction to Mathematica -- Differential Equations -- Planar Systems -- Interacting Species -- Limit Cycles -- Hamiltonian Systems, Lyapunov Functions, and Stability -- Bifurcation Theory -- Three-Dimensional Autonomous Systems and Chaos -- Poincaré Maps and Nonautonomous Systems in the Plane -- Local and Global Bifurcations -- The Second Part of Hilbert’s Sixteenth Problem -- Linear Discrete Dynamical Systems -- Nonlinear Discrete Dynamical Systems -- Complex Iterative Maps -- Electromagnetic Waves and Optical Resonators -- Fractals and Multifractals -- Chaos Control and Synchronization -- Neural Networks -- Examination-Type Questions -- Solutions to Exercises En línea: http://dx.doi.org/10.1007/978-0-8176-4586-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34562 Ejemplares
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Título : Dynamical Entropy in Operator Algebras Tipo de documento: documento electrónico Autores: Sergey Neshveyev ; SpringerLink (Online service) ; Erling Størmer Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2006 Colección: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, ISSN 0071-1136 num. 50 Número de páginas: X, 296 p Il.: online resource ISBN/ISSN/DL: 978-3-540-34673-9 Idioma : Inglés (eng) Palabras clave: Mathematics Dynamics Ergodic theory Functional analysis Operator Physics Theory Analysis Dynamical Systems and Theoretical, Mathematical Computational Clasificación: 51 Matemáticas Resumen: During the last 30 years there have been several attempts at extending the notion of entropy to noncommutative dynamical systems. The authors present in the book the two most successful approaches to the extensions of measure entropy and topological entropy to the noncommutative setting and analyze in detail the main models in the theory. The book addresses mathematicians and physicists, including graduate students, who are interested in quantum dynamical systems and applications of operator algebras and ergodic theory. Although the authors assume a basic knowledge of operator algebras, they give precise definitions of the notions and in most cases complete proofs of the results which are used Nota de contenido: General Theory -- Classical Dynamical Systems -- Relative Entropy -- Dynamical Entropy -- Maximality of Entropy and Commutativity -- Dynamical Abelian Models -- Topological Entropy -- Dynamics on the State Space -- Crossed Products -- Variational Principle -- Special Topics -- Relative Entropy and Subfactors -- Systems of Algebraic Origin -- Binary Shifts -- Bogoliubov Automorphisms -- Free Products En línea: http://dx.doi.org/10.1007/3-540-34673-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34982 Dynamical Entropy in Operator Algebras [documento electrónico] / Sergey Neshveyev ; SpringerLink (Online service) ; Erling Størmer . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2006 . - X, 296 p : online resource. - (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, ISSN 0071-1136; 50) .
ISBN : 978-3-540-34673-9
Idioma : Inglés (eng)
Palabras clave: Mathematics Dynamics Ergodic theory Functional analysis Operator Physics Theory Analysis Dynamical Systems and Theoretical, Mathematical Computational Clasificación: 51 Matemáticas Resumen: During the last 30 years there have been several attempts at extending the notion of entropy to noncommutative dynamical systems. The authors present in the book the two most successful approaches to the extensions of measure entropy and topological entropy to the noncommutative setting and analyze in detail the main models in the theory. The book addresses mathematicians and physicists, including graduate students, who are interested in quantum dynamical systems and applications of operator algebras and ergodic theory. Although the authors assume a basic knowledge of operator algebras, they give precise definitions of the notions and in most cases complete proofs of the results which are used Nota de contenido: General Theory -- Classical Dynamical Systems -- Relative Entropy -- Dynamical Entropy -- Maximality of Entropy and Commutativity -- Dynamical Abelian Models -- Topological Entropy -- Dynamics on the State Space -- Crossed Products -- Variational Principle -- Special Topics -- Relative Entropy and Subfactors -- Systems of Algebraic Origin -- Binary Shifts -- Bogoliubov Automorphisms -- Free Products En línea: http://dx.doi.org/10.1007/3-540-34673-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34982 Ejemplares
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Título : Dynamical Systems Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; C. Marchioro Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2011 Colección: C.I.M.E. Summer Schools num. 78 Número de páginas: 312 p. 63 illus Il.: online resource ISBN/ISSN/DL: 978-3-642-13929-1 Idioma : Inglés (eng) Palabras clave: Mathematics Dynamics Ergodic theory Dynamical Systems and Theory Clasificación: 51 Matemáticas Resumen: Lectures: J. Guckenheimer: Bifurcations of dynamical systems.- J. Moser: Various aspects of integrable.- S. Newhouse: Lectures on dynamical systems.- Seminars: A. Chenciner: Hopf bifurcation for invariant tori.- M. Misiurewicz: Horseshoes for continuous mappings of an interval En línea: http://dx.doi.org/10.1007/978-3-642-13929-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33368 Dynamical Systems [documento electrónico] / SpringerLink (Online service) ; C. Marchioro . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2011 . - 312 p. 63 illus : online resource. - (C.I.M.E. Summer Schools; 78) .
ISBN : 978-3-642-13929-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Dynamics Ergodic theory Dynamical Systems and Theory Clasificación: 51 Matemáticas Resumen: Lectures: J. Guckenheimer: Bifurcations of dynamical systems.- J. Moser: Various aspects of integrable.- S. Newhouse: Lectures on dynamical systems.- Seminars: A. Chenciner: Hopf bifurcation for invariant tori.- M. Misiurewicz: Horseshoes for continuous mappings of an interval En línea: http://dx.doi.org/10.1007/978-3-642-13929-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33368 Ejemplares
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Título : Dynamical Systems : An Introduction Tipo de documento: documento electrónico Autores: Luis Barreira ; SpringerLink (Online service) ; Claudia Valls Editorial: London : Springer London Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: Universitext, ISSN 0172-5939 Número de páginas: IX, 209 p. 44 illus Il.: online resource ISBN/ISSN/DL: 978-1-4471-4835-7 Idioma : Inglés (eng) Palabras clave: Mathematics Dynamics Ergodic theory Global analysis (Mathematics) Manifolds Differential equations Hyperbolic geometry Dynamical Systems and Theory Analysis on Ordinary Equations Geometry Clasificación: 51 Matemáticas Resumen: The theory of dynamical systems is a broad and active research subject with connections to most parts of mathematics. Dynamical Systems: An Introduction undertakes the difficult task to provide a self-contained and compact introduction. Topics covered include topological, low-dimensional, hyperbolic and symbolic dynamics, as well as a brief introduction to ergodic theory. In particular, the authors consider topological recurrence, topological entropy, homeomorphisms and diffeomorphisms of the circle, Sharkovski's ordering, the Poincaré-Bendixson theory, and the construction of stable manifolds, as well as an introduction to geodesic flows and the study of hyperbolicity (the latter is often absent in a first introduction). Moreover, the authors introduce the basics of symbolic dynamics, the construction of symbolic codings, invariant measures, Poincaré's recurrence theorem and Birkhoff's ergodic theorem. The exposition is mathematically rigorous, concise and direct: all statements (except for some results from other areas) are proven. At the same time, the text illustrates the theory with many examples and 140 exercises of variable levels of difficulty. The only prerequisites are a background in linear algebra, analysis and elementary topology. This is a textbook primarily designed for a one-semester or two-semesters course at the advanced undergraduate or beginning graduate levels. It can also be used for self-study and as a starting point for more advanced topics Nota de contenido: Introduction -- Basic Notions and Examples -- Topological Dynamics -- Low-Dimensional Dynamics -- Hyperbolic Dynamics I -- Hyperbolic Dynamics II -- Symbolic Dynamics -- Ergodic Theory En línea: http://dx.doi.org/10.1007/978-1-4471-4835-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32197 Dynamical Systems : An Introduction [documento electrónico] / Luis Barreira ; SpringerLink (Online service) ; Claudia Valls . - London : Springer London : Imprint: Springer, 2013 . - IX, 209 p. 44 illus : online resource. - (Universitext, ISSN 0172-5939) .
ISBN : 978-1-4471-4835-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Dynamics Ergodic theory Global analysis (Mathematics) Manifolds Differential equations Hyperbolic geometry Dynamical Systems and Theory Analysis on Ordinary Equations Geometry Clasificación: 51 Matemáticas Resumen: The theory of dynamical systems is a broad and active research subject with connections to most parts of mathematics. Dynamical Systems: An Introduction undertakes the difficult task to provide a self-contained and compact introduction. Topics covered include topological, low-dimensional, hyperbolic and symbolic dynamics, as well as a brief introduction to ergodic theory. In particular, the authors consider topological recurrence, topological entropy, homeomorphisms and diffeomorphisms of the circle, Sharkovski's ordering, the Poincaré-Bendixson theory, and the construction of stable manifolds, as well as an introduction to geodesic flows and the study of hyperbolicity (the latter is often absent in a first introduction). Moreover, the authors introduce the basics of symbolic dynamics, the construction of symbolic codings, invariant measures, Poincaré's recurrence theorem and Birkhoff's ergodic theorem. The exposition is mathematically rigorous, concise and direct: all statements (except for some results from other areas) are proven. At the same time, the text illustrates the theory with many examples and 140 exercises of variable levels of difficulty. The only prerequisites are a background in linear algebra, analysis and elementary topology. This is a textbook primarily designed for a one-semester or two-semesters course at the advanced undergraduate or beginning graduate levels. It can also be used for self-study and as a starting point for more advanced topics Nota de contenido: Introduction -- Basic Notions and Examples -- Topological Dynamics -- Low-Dimensional Dynamics -- Hyperbolic Dynamics I -- Hyperbolic Dynamics II -- Symbolic Dynamics -- Ergodic Theory En línea: http://dx.doi.org/10.1007/978-1-4471-4835-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32197 Ejemplares
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Título : Dynamical Systems and Chaos Tipo de documento: documento electrónico Autores: Henk Broer ; SpringerLink (Online service) ; Floris Takens Editorial: New York, NY : Springer New York Fecha de publicación: 2011 Colección: Applied Mathematical Sciences, ISSN 0066-5452 num. 172 Número de páginas: XVI, 313 p Il.: online resource ISBN/ISSN/DL: 978-1-4419-6870-8 Idioma : Inglés (eng) Palabras clave: Mathematics Dynamics Ergodic theory Applied mathematics Engineering Dynamical Systems and Theory Applications of Clasificación: 51 Matemáticas Resumen: Over the last four decades there has been extensive development in the theory of dynamical systems. This book starts from the phenomenological point of view reviewing examples. Hence the authors discuss oscillators, like the pendulum in many variation including damping and periodic forcing , the Van der Pol System, the Henon and Logistic families, the Newton algorithm seen as a dynamical system and the Lorenz and Rossler system are also discussed. The phenomena concern equilibrium, periodic, multi- or quasi-periodic and chaotic dynamic dynamics as these occur in all kinds of modeling and are met both in computer simulations and in experiments. The application areas vary from celestial mechanics and economical evolutions to population dynamics and climate variability. The book is aimed at a broad audience of students and researchers. The first four chapters have been used for an undergraduate course in Dynamical Systems and material from the last two chapters and from the appendices has been used for master and PhD courses by the authors. All chapters conclude with an exercise section. One of the challenges is to help applied researchers acquire background for a better understanding of the data that computer simulation or experiment may provide them with the development of the theory. Henk Broer and Floris Takens, professors at the Institute for Mathematics and Computer Science of the University of Groningen, are leaders in the field of dynamical systems. They have published a wealth of scientific papers and books in this area and both authors are members of the Royal Netherlands Academy of Arts and Sciences (KNAW) Nota de contenido: Examples and definitions of dynamical phenomena -- Qualitative properties and predictability of evolutions -- Persistence of dynamical properties -- Global structure of dynamical systems -- On KAM Theory -- Reconstruction and time series analysis En línea: http://dx.doi.org/10.1007/978-1-4419-6870-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33148 Dynamical Systems and Chaos [documento electrónico] / Henk Broer ; SpringerLink (Online service) ; Floris Takens . - New York, NY : Springer New York, 2011 . - XVI, 313 p : online resource. - (Applied Mathematical Sciences, ISSN 0066-5452; 172) .
ISBN : 978-1-4419-6870-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Dynamics Ergodic theory Applied mathematics Engineering Dynamical Systems and Theory Applications of Clasificación: 51 Matemáticas Resumen: Over the last four decades there has been extensive development in the theory of dynamical systems. This book starts from the phenomenological point of view reviewing examples. Hence the authors discuss oscillators, like the pendulum in many variation including damping and periodic forcing , the Van der Pol System, the Henon and Logistic families, the Newton algorithm seen as a dynamical system and the Lorenz and Rossler system are also discussed. The phenomena concern equilibrium, periodic, multi- or quasi-periodic and chaotic dynamic dynamics as these occur in all kinds of modeling and are met both in computer simulations and in experiments. The application areas vary from celestial mechanics and economical evolutions to population dynamics and climate variability. The book is aimed at a broad audience of students and researchers. The first four chapters have been used for an undergraduate course in Dynamical Systems and material from the last two chapters and from the appendices has been used for master and PhD courses by the authors. All chapters conclude with an exercise section. One of the challenges is to help applied researchers acquire background for a better understanding of the data that computer simulation or experiment may provide them with the development of the theory. Henk Broer and Floris Takens, professors at the Institute for Mathematics and Computer Science of the University of Groningen, are leaders in the field of dynamical systems. They have published a wealth of scientific papers and books in this area and both authors are members of the Royal Netherlands Academy of Arts and Sciences (KNAW) Nota de contenido: Examples and definitions of dynamical phenomena -- Qualitative properties and predictability of evolutions -- Persistence of dynamical properties -- Global structure of dynamical systems -- On KAM Theory -- Reconstruction and time series analysis En línea: http://dx.doi.org/10.1007/978-1-4419-6870-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33148 Ejemplares
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