Mathematical Methods In Continuous And Discrete Systems
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Mathematical Methods In Continuous And Discrete Systems
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Author : Shlomo Karni
language : en
Publisher:
Release Date : 1982-01-01
Mathematical Methods In Continuous And Discrete Systems written by Shlomo Karni and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-01-01 with Electrical engineering categories.
An Introduction To Dynamical Systems
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Author : Rex Clark Robinson
language : en
Publisher: American Mathematical Soc.
Release Date : 2012
An Introduction To Dynamical Systems written by Rex Clark Robinson and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
This book gives a mathematical treatment of the introduction to qualitative differential equations and discrete dynamical systems. The treatment includes theoretical proofs, methods of calculation, and applications. The two parts of the book, continuous time of differential equations and discrete time of dynamical systems, can be covered independently in one semester each or combined together into a year long course. The material on differential equations introduces the qualitative or geometric approach through a treatment of linear systems in any dimension. There follows chapters where equilibria are the most important feature, where scalar (energy) functions is the principal tool, where periodic orbits appear, and finally, chaotic systems of differential equations. The many different approaches are systematically introduced through examples and theorems. The material on discrete dynamical systems starts with maps of one variable and proceeds to systems in higher dimensions. The treatment starts with examples where the periodic points can be found explicitly and then introduces symbolic dynamics to analyze where they can be shown to exist but not given in explicit form. Chaotic systems are presented both mathematically and more computationally using Lyapunov exponents. With the one-dimensional maps as models, the multidimensional maps cover the same material in higher dimensions. This higher dimensional material is less computational and more conceptual and theoretical. The final chapter on fractals introduces various dimensions which is another computational tool for measuring the complexity of a system. It also treats iterated function systems which give examples of complicated sets. In the second edition of the book, much of the material has been rewritten to clarify the presentation. Also, some new material has been included in both parts of the book. This book can be used as a textbook for an advanced undergraduate course on ordinary differential equations and/or dynamical systems. Prerequisites are standard courses in calculus (single variable and multivariable), linear algebra, and introductory differential equations.
Linear Time Invariant Systems Behaviors And Modules
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Author : Ulrich Oberst
language : en
Publisher: Springer Nature
Release Date : 2020-06-27
Linear Time Invariant Systems Behaviors And Modules written by Ulrich Oberst and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-27 with Mathematics categories.
This book comprehensively examines various significant aspects of linear time-invariant systems theory, both for continuous-time and discrete-time. Using a number of new mathematical methods it provides complete and exact proofs of all the systems theoretic and electrical engineering results, as well as important results and algorithms demonstrated with nontrivial computer examples. The book is intended for readers who have completed the first two years of a university mathematics course. All further mathematical results required are proven in the book.
Continuous And Discrete Signal And System Analysis
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Author : Clare D. McGillem
language : en
Publisher: Oxford University Press, USA
Release Date : 1991
Continuous And Discrete Signal And System Analysis written by Clare D. McGillem and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Digital filters (Mathematics) categories.
This Third Edition of a proven text presents the most widely used techniques of signal and systems analysis with superb coverage of devices. Intended for junior and senior students with basic calculus, this text features a clear organization of topics beginning with convolution, then moves to unusually extensive coverage of Fourier transforms. There are generous examples of discrete system applications that students can easily follow. The second half of the text supplies broad coverage of one- and two-sided Laplace transforms and analysis of discrete signals and systems by means of the z-transform. Students will benefit from state space material that has been expanded and rearranged to present the discrete case first, as well as an expanded learning system including solutions to all exercises plus an expanded appendix table with easy access to frequently encountered mathematical relationships used in signal analysis.
Discrete Systems And Integrability
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Author : J. Hietarinta
language : en
Publisher: Cambridge University Press
Release Date : 2016-09
Discrete Systems And Integrability written by J. Hietarinta and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09 with Mathematics categories.
A first introduction to the theory of discrete integrable systems at a level suitable for students and non-experts.
Nonlinear Systems And Their Remarkable Mathematical Structures
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Author : Norbert Euler
language : en
Publisher: CRC Press
Release Date : 2019-12-06
Nonlinear Systems And Their Remarkable Mathematical Structures written by Norbert Euler and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-06 with Mathematics categories.
Nonlinear Systems and Their Remarkable Mathematical Structures, Volume 2 is written in a careful pedagogical manner by experts from the field of nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete). This book aims to clearly illustrate the mathematical theories of nonlinear systems and its progress to both non-experts and active researchers in this area. Just like the first volume, this book is suitable for graduate students in mathematics, applied mathematics and engineering sciences, as well as for researchers in the subject of differential equations and dynamical systems. Features Collects contributions on recent advances in the subject of nonlinear systems Aims to make the advanced mathematical methods accessible to the non-experts Suitable for a broad readership including researchers and graduate students in mathematics and applied mathematics
Mathematical Methods In Engineering
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Author : Kenan Taş
language : en
Publisher: Springer
Release Date : 2018-08-21
Mathematical Methods In Engineering written by Kenan Taş and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-21 with Technology & Engineering categories.
This book collects chapters dealing with some of the theoretical aspects needed to properly discuss the dynamics of complex engineering systems. The book illustrates advanced theoretical development and new techniques designed to better solve problems within the nonlinear dynamical systems. Topics covered in this volume include advances on fixed point results on partial metric spaces, localization of the spectral expansions associated with the partial differential operators, irregularity in graphs and inverse problems, Hyers-Ulam and Hyers-Ulam-Rassias stability for integro-differential equations, fixed point results for mixed multivalued mappings of Feng-Liu type on Mb-metric spaces, and the limit q-Bernstein operators, analytical investigation on the fractional diffusion absorption equation.
Discrete And Switching Dynamical Systems
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Author : Albert C. J. Luo
language : en
Publisher:
Release Date : 2012
Discrete And Switching Dynamical Systems written by Albert C. J. Luo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Bifurcation theory categories.
Discrete and switching dynamical systems is a unique book about stability and its switching complexity in discrete dynamical systems, and provides a simple and concise view of the theory of stability and bifurcation in nonlinear discrete dynamical systems. Linear discrete systems with repeated eigenvalues are presented as an introduction. Higher-order singularity, stability and bifurcations in nonlinear discrete dynamical systems are presented. Several examples are presented to illustrate chaos fractality and complete dynamics of nonlinear discrete dynamical systems. Switching systems with transports are discussed comprehensively as a general fashion to present continuous and discrete mixed systems, and mapping dynamics, grazing phenomena and strange attractor fragmentation are also presented for a better understanding of regularity and complexity in discrete, switching and discontinuous dynamical systems. This book is written as a textbook or reference book for university students, professors and researchers in applied mathematics, physics, engineering, economics dynamics and finance.
Nonlinear Hybrid Continuous Discrete Time Models
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Author : Marat Akhmet
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-05-03
Nonlinear Hybrid Continuous Discrete Time Models written by Marat Akhmet 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 2011-05-03 with Mathematics categories.
The book is mainly about hybrid systems with continuous/discrete-time dynamics. The major part of the book consists of the theory of equations with piece-wise constant argument of generalized type. The systems as well as technique of investigation were introduced by the author very recently. They both generalized known theory about differential equations with piece-wise constant argument, introduced by K. Cook and J. Wiener in the 1980s. Moreover, differential equations with fixed and variable moments of impulses are used to model real world problems. We consider models of neural networks, blood pressure distribution and a generalized model of the cardiac pacemaker. All the results of the manuscript have not been published in any book, yet. They are very recent and united with the presence of the continuous/discrete dynamics of time. It is of big interest for specialists in biology, medicine, engineering sciences, electronics. Theoretical aspects of the book meet very strong expectations of mathematicians who investigate differential equations with discontinuities of any type.
Discrete And Switching Dynamical Systems
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Author : Albert C J Luo
language : en
Publisher: L& H Scientific Publishing
Release Date : 2011-12-01
Discrete And Switching Dynamical Systems written by Albert C J Luo and has been published by L& H Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-01 with Mathematics categories.
Discrete and Switching Dynamical Systems is a unique book about stability and its switching complexity in discrete dynamical systems, and provides a simple and concise view of the theory of stability and bifurcation in nonlinear discrete dynamical systems. Linear discrete systems with repeated eigenvalues are presented as an introduction. Higher-order singularity, stability and bifurcations in nonlinear discrete dynamical systems are presented. Several examples are presented to illustrate chaos fractality and complete dynamics of nonlinear discrete dynamical systems. Switching systems with transports are discussed comprehensively as a general fashion to present continuous and discrete mixed systems, and mapping dynamics, grazing phenomena and strange attractor fragmentation are also presented for a better understanding of regularity and complexity in discrete, switching and discontinuous dynamical systems. This book is written as a textbook or reference book for university students, professors and researchers in applied mathematics, physics, engineering, economics dynamics and finance. Albert C.J. Luo is an internationally recognized professor in nonlinear dynamics and mechanics. He worked at Southern Illinois University Edwardsville, USA. His principal research interests lie in the fields of Hamiltonian chaos, nonlinear mechanics, and discontinuous dynamical systems. A different view of stability and bifurcations in discrete dynamical systemsHigher order singularity, stability switching complexity and bifurcationsChaos fractality and complete dynamicsHow to construct mappings from physical systemsMapping dynamics, grazing invariance and strange attractor fragmentationUser friendly presentation and intuitive illustrationsWide audience due to instructive and comprehensive examples