Invariant Sets For Windows
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Invariant Sets For Windows
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Author : Albert D. Morozov
language : en
Publisher: World Scientific
Release Date : 1999
Invariant Sets For Windows written by Albert D. Morozov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
This book deals with the visualization and exploration of invariant sets (fractals, strange attractors, resonance structures, patterns etc.) for various kinds of nonlinear dynamical systems. The authors have created a special Windows 96 application called WInSet, which allows one to visualize the invariant sets. A WInSet installation disk is enclosed with the book. The book consists of two parts. Part I contains a description of WlnSet and a list of the built-in invariant sets which can be plotted using the program. This part is intended for a wide audience with interests ranging from dynamical systems to computer design. In Part II, the invariant sets presented in Part I are investigated from the theoretical perspective. The invariant sets of dynamical systems with one, one-and-a-half and two degrees of freedom, as well as those of two-dimensional maps, are discussed. The basic models of the diffusion equations are also considered. This part of the book is intended for a more advanced reader, with at least a BSc in Mathematics.
Invariant Sets For Windows Resonance Structures Attractors Fractals And Patterns
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Author : Svetlana A Boykova
language : en
Publisher:
Release Date : 1999
Invariant Sets For Windows Resonance Structures Attractors Fractals And Patterns written by Svetlana A Boykova and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
Invariant Sets For Windows Resonance Structures Attractors Fractals And Patterns
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Author : Svetlana A Boykova
language : en
Publisher: World Scientific
Release Date : 1999-11-29
Invariant Sets For Windows Resonance Structures Attractors Fractals And Patterns written by Svetlana A Boykova and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-11-29 with Science categories.
This book deals with the visualization and exploration of invariant sets (fractals, strange attractors, resonance structures, patterns etc.) for various kinds of nonlinear dynamical systems. The authors have created a special Windows 95 application called WInSet, which allows one to visualize the invariant sets. A WInSet installation disk is enclosed with the book.The book consists of two parts. Part I contains a description of WInSet and a list of the built-in invariant sets which can be plotted using the program. This part is intended for a wide audience with interests ranging from dynamical systems to computer design.In Part II, the invariant sets presented in Part I are investigated from the theoretical perspective. The invariant sets of dynamical systems with one, one-and-a-half and two degrees of freedom, as well as those of two-dimensional maps, are discussed. The basic models of the diffusion equations are also considered. This part of the book is intended for a more advanced reader, with at least a BSc in Mathematics.
International Conference On Differential Equations Berlin Germany 1 7 August 1999
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Author : Bernold Fiedler
language : en
Publisher: World Scientific
Release Date : 2000
International Conference On Differential Equations Berlin Germany 1 7 August 1999 written by Bernold Fiedler and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
This book is a compilation of high quality papers focussing on five major areas of active development in the wide field of differential equations: dynamical systems, infinite dimensions, global attractors and stability, computational aspects, and applications. It is a valuable reference for researchers in diverse disciplines, ranging from mathematics through physics, engineering, chemistry, nonlinear science to the life sciences.
Introduction To Synthetic Biology
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Author : Mario Andrea Marchisio
language : en
Publisher: Springer
Release Date : 2018-05-14
Introduction To Synthetic Biology written by Mario Andrea Marchisio and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-14 with Medical categories.
The textbook is based on the lectures of the course “Synthetic Biology” for Master’s students in biology and biotechnology at the Harbin Institute of Technology. The goal of the textbook is to explain how to make mathematical models of synthetic gene circuits that will, later on, drive the circuit implementation in the lab. Concepts such as kinetics, circuit dynamics and equilibria, stochastic and deterministic simulations, parameter analysis and optimization are presented. At the end of the textbook, a chapter contains a description of structural motifs (e.g. positive and negative feedback loops, Boolean gates) that carry out specific functions and can be combined into larger networks. Moreover, several chapters show how to build up (an analyse, where possible) models for synthetic gene circuits with four different open-source software i.e. COPASI, XPPAUT, BioNetGeN, and Parts & Pools-ProMoT.
Chaos Theory And Nonlinear Dynamics
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Author : Richard Johnson
language : en
Publisher: HiTeX Press
Release Date : 2025-05-30
Chaos Theory And Nonlinear Dynamics written by Richard Johnson and has been published by HiTeX Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-30 with Computers categories.
"Chaos Theory and Nonlinear Dynamics" "Chaos Theory and Nonlinear Dynamics" offers a comprehensive journey through the mathematical and conceptual foundations of contemporary nonlinear science. Beginning with rigorous explorations of dynamical systems, phase spaces, and bifurcations, the book builds a robust framework for understanding stability and the onset of complexity in both continuous and discrete settings. Key analytical tools—such as Lyapunov exponents, topological entropy, and fractal dimensions—are introduced methodically, equipping readers to quantify, visualize, and interpret chaotic behavior in diverse systems. The text distinguishes itself through in-depth studies of classical and modern routes to chaos, including period-doubling cascades, intermittency, quasi-periodicity, and the transition to turbulence, with detailed analyses of pioneers like the Lorenz and Rössler models. Emphasis is also placed on the geometric and statistical nature of chaos, covering strange attractors, fractals, and symbolic dynamics, alongside the role of stochastic perturbations and noise. Methods for chaos control, synchronization, and applications in secure communications are examined, bridging the gap between theory and experimentation with practical realizations. Finally, the book broadens its scope to real-world phenomena and emerging research, highlighting the relevance of chaos and nonlinear dynamics across fluid turbulence, biological systems, engineering devices, and complex networks. It culminates in a forward-looking discussion of open problems, quantum chaos, machine learning techniques, and interdisciplinary frontiers. With its balanced approach between foundational theory, quantitative analysis, and applications, this work is an essential reference for researchers, advanced students, and professionals seeking to master the intricacies of nonlinear and chaotic phenomena.
Eigenvalues Of Non Linear Problems
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Author : G. Prodi
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-02
Eigenvalues Of Non Linear Problems written by G. Prodi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-02 with Mathematics categories.
H. Amann: Nonlinear eigenvalue problems in ordered Banach spaces.- P.C. Fife: Branching phenomena in fluid dynamics and chemical reaction-diffusion theory.- W. Klingenberg: The theory of closed geodesics.- P. Rabinowitz: Variational methods for nonlinear eigenvalue problems.- M. Reeken: Existence of solutions to the Hartree-Fock equations.- R. Turner: Positive solutions of nonlinear eigenvalue problems.
Applied And Computational Measurable Dynamics
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Author : Erik M. Bollt
language : en
Publisher: SIAM
Release Date : 2013-12-03
Applied And Computational Measurable Dynamics written by Erik M. Bollt and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-03 with Mathematics categories.
Until recently, measurable dynamics has been held as a highly theoretcal mathematical topic with few generally known obvious links for practitioners in areas of applied mathematics. However, the advent of high-speed computers, rapidly developing algorithms, and new numerical methods has allowed for a tremendous amount of progress and sophistication in efforts to represent the notion of a transfer operator discretely but to high resolution. This book connects many concepts in dynamical systems with mathematical tools from areas such as graph theory and ergodic theory. The authors introduce practical tools for applications related to measurable dynamical systems, coherent structures, and transport problems. The new and fast-developing computational tools discussed throughout the book allow for detailed analysis of real-world problems that are simply beyond the reach of traditional methods.
Attractor Dimension Estimates For Dynamical Systems Theory And Computation
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Author : Nikolay Kuznetsov
language : en
Publisher: Springer Nature
Release Date : 2020-07-02
Attractor Dimension Estimates For Dynamical Systems Theory And Computation written by Nikolay Kuznetsov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-02 with Computers categories.
This book provides analytical and numerical methods for the estimation of dimension characteristics (Hausdorff, Fractal, Carathéodory dimensions) for attractors and invariant sets of dynamical systems and cocycles generated by smooth differential equations or maps in finite-dimensional Euclidean spaces or on manifolds. It also discusses stability investigations using estimates based on Lyapunov functions and adapted metrics. Moreover, it introduces various types of Lyapunov dimensions of dynamical systems with respect to an invariant set, based on local, global and uniform Lyapunov exponents, and derives analytical formulas for the Lyapunov dimension of the attractors of the Hénon and Lorenz systems. Lastly, the book presents estimates of the topological entropy for general dynamical systems in metric spaces and estimates of the topological dimension for orbit closures of almost periodic solutions to differential equations.
Stability And Bifurcation Theory For Non Autonomous Differential Equations
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Author : Anna Capietto
language : en
Publisher: Springer
Release Date : 2012-12-14
Stability And Bifurcation Theory For Non Autonomous Differential Equations written by Anna Capietto and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-14 with Mathematics categories.
This volume contains the notes from five lecture courses devoted to nonautonomous differential systems, in which appropriate topological and dynamical techniques were described and applied to a variety of problems. The courses took place during the C.I.M.E. Session "Stability and Bifurcation Problems for Non-Autonomous Differential Equations," held in Cetraro, Italy, June 19-25 2011. Anna Capietto and Jean Mawhin lectured on nonlinear boundary value problems; they applied the Maslov index and degree-theoretic methods in this context. Rafael Ortega discussed the theory of twist maps with nonperiodic phase and presented applications. Peter Kloeden and Sylvia Novo showed how dynamical methods can be used to study the stability/bifurcation properties of bounded solutions and of attracting sets for nonautonomous differential and functional-differential equations. The volume will be of interest to all researchers working in these and related fields.