Damped Oscillations of Linear Systems

Download Damped Oscillations of Linear Systems PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3642213340
Total Pages : 215 pages
Book Rating : 4.6/5 (422 download)

DOWNLOAD NOW!


Book Synopsis Damped Oscillations of Linear Systems by : Krešimir Veselić

Download or read book Damped Oscillations of Linear Systems written by Krešimir Veselić and published by Springer Science & Business Media. This book was released on 2011-07-09 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of linear damped oscillations was originally developed more than hundred years ago and is still of vital research interest to engineers, mathematicians and physicists alike. This theory plays a central role in explaining the stability of mechanical structures in civil engineering, but it also has applications in other fields such as electrical network systems and quantum mechanics. This volume gives an introduction to linear finite dimensional damped systems as they are viewed by an applied mathematician. After a short overview of the physical principles leading to the linear system model, a largely self-contained mathematical theory for this model is presented. This includes the geometry of the underlying indefinite metric space, spectral theory of J-symmetric matrices and the associated quadratic eigenvalue problem. Particular attention is paid to the sensitivity issues which influence numerical computations. Finally, several recent research developments are included, e.g. Lyapunov stability and the perturbation of the time evolution.

Oscillations in Nonlinear Systems

Download Oscillations in Nonlinear Systems PDF Online Free

Author :
Publisher : Courier Dover Publications
ISBN 13 : 0486803260
Total Pages : 193 pages
Book Rating : 4.4/5 (868 download)

DOWNLOAD NOW!


Book Synopsis Oscillations in Nonlinear Systems by : Jack K. Hale

Download or read book Oscillations in Nonlinear Systems written by Jack K. Hale and published by Courier Dover Publications. This book was released on 2015-03-24 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: By focusing on ordinary differential equations that contain a small parameter, this concise graduate-level introduction provides a unified approach for obtaining periodic solutions to nonautonomous and autonomous differential equations. 1963 edition.

An Introduction to Nonlinear Oscillations

Download An Introduction to Nonlinear Oscillations PDF Online Free

Author :
Publisher : CUP Archive
ISBN 13 : 9780521222082
Total Pages : 234 pages
Book Rating : 4.2/5 (22 download)

DOWNLOAD NOW!


Book Synopsis An Introduction to Nonlinear Oscillations by : Ronald E. Mickens

Download or read book An Introduction to Nonlinear Oscillations written by Ronald E. Mickens and published by CUP Archive. This book was released on 1981 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory account of the equations describing nonlinear oscillations & the methods for solving them.

Linear Differential Equations and Oscillators

Download Linear Differential Equations and Oscillators PDF Online Free

Author :
Publisher : CRC Press
ISBN 13 : 0429642792
Total Pages : 324 pages
Book Rating : 4.4/5 (296 download)

DOWNLOAD NOW!


Book Synopsis Linear Differential Equations and Oscillators by : Luis Manuel Braga da Costa Campos

Download or read book Linear Differential Equations and Oscillators written by Luis Manuel Braga da Costa Campos and published by CRC Press. This book was released on 2019-11-05 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Differential Equations and Oscillators is the first book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This first book consists of chapters 1 and 2 of the fourth volume. The first chapter covers linear differential equations of any order whose unforced solution can be obtained from the roots of a characteristic polynomial, namely those: (i) with constant coefficients; (ii) with homogeneous power coefficients with the exponent equal to the order of derivation. The method of characteristic polynomials is also applied to (iii) linear finite difference equations of any order with constant coefficients. The unforced and forced solutions of (i,ii,iii) are examples of some general properties of ordinary differential equations. The second chapter applies the theory of the first chapter to linear second-order oscillators with one degree-of-freedom, such as the mechanical mass-damper-spring-force system and the electrical self-resistor-capacitor-battery circuit. In both cases are treated free undamped, damped, and amplified oscillations; also forced oscillations including beats, resonance, discrete and continuous spectra, and impulsive inputs. Describes general properties of differential and finite difference equations, with focus on linear equations and constant and some power coefficients Presents particular and general solutions for all cases of differential and finite difference equations Provides complete solutions for many cases of forcing including resonant cases Discusses applications to linear second-order mechanical and electrical oscillators with damping Provides solutions with forcing including resonance using the characteristic polynomial, Green' s functions, trigonometrical series, Fourier integrals and Laplace transforms

Quantum Dissipative Systems (Fifth Edition)

Download Quantum Dissipative Systems (Fifth Edition) PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9811241511
Total Pages : 607 pages
Book Rating : 4.8/5 (112 download)

DOWNLOAD NOW!


Book Synopsis Quantum Dissipative Systems (Fifth Edition) by : Ulrich Weiss

Download or read book Quantum Dissipative Systems (Fifth Edition) written by Ulrich Weiss and published by World Scientific. This book was released on 2021-09-21 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive textbook provides the fundamental concepts and methods of dissipative quantum mechanics and related issues in condensed matter physics starting from first principles. It deals with the phenomena and theory of decoherence, relaxation and dissipation in quantum mechanics that arise from the random exchange of energy with the environment. Major theoretical advances in combination with stunning experimental achievements and the arising perspective for quantum computing have brightened the field and brought it to the attention of the general community in natural sciences. Expertise in dissipative quantum mechanics is by now beneficial in a broad sphere.This book — originally published in 1992 and republished as enlarged and updated second, third and fourth edition in 1999, 2008, and 2012 — dives even deeper into the fundamental concepts, methods and applications of quantum dissipation. The fifth edition provides a self-contained and updated account of the quantum mechanics and quantum statistics of open systems. The subject matter of the book has been thoroughly revised to better comply with the needs of newcomers and the demands of the advanced readership. Most of the chapters are rewritten to enhance clarity and topicality. Four new chapters covering recent developments in the field have been added. There are about 600 references. This book is intended for use by advanced undergraduate and graduate students in physics, and for researchers active in the field. They will find the monograph as a rich and stimulating source.

Variational Principles in Classical Mechanics

Download Variational Principles in Classical Mechanics PDF Online Free

Author :
Publisher :
ISBN 13 : 9780998837277
Total Pages : pages
Book Rating : 4.8/5 (372 download)

DOWNLOAD NOW!


Book Synopsis Variational Principles in Classical Mechanics by : Douglas Cline

Download or read book Variational Principles in Classical Mechanics written by Douglas Cline and published by . This book was released on 2018-08 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Two dramatically different philosophical approaches to classical mechanics were proposed during the 17th - 18th centuries. Newton developed his vectorial formulation that uses time-dependent differential equations of motion to relate vector observables like force and rate of change of momentum. Euler, Lagrange, Hamilton, and Jacobi, developed powerful alternative variational formulations based on the assumption that nature follows the principle of least action. These variational formulations now play a pivotal role in science and engineering.This book introduces variational principles and their application to classical mechanics. The relative merits of the intuitive Newtonian vectorial formulation, and the more powerful variational formulations are compared. Applications to a wide variety of topics illustrate the intellectual beauty, remarkable power, and broad scope provided by use of variational principles in physics.The second edition adds discussion of the use of variational principles applied to the following topics:(1) Systems subject to initial boundary conditions(2) The hierarchy of related formulations based on action, Lagrangian, Hamiltonian, and equations of motion, to systems that involve symmetries.(3) Non-conservative systems.(4) Variable-mass systems.(5) The General Theory of Relativity.Douglas Cline is a Professor of Physics in the Department of Physics and Astronomy, University of Rochester, Rochester, New York.

Non Linear Mathematics Vol. I

Download Non Linear Mathematics Vol. I PDF Online Free

Author :
Publisher : RWS Publications
ISBN 13 : 1888603380
Total Pages : 404 pages
Book Rating : 4.8/5 (886 download)

DOWNLOAD NOW!


Book Synopsis Non Linear Mathematics Vol. I by : Thomas L., Saaty

Download or read book Non Linear Mathematics Vol. I written by Thomas L., Saaty and published by RWS Publications. This book was released on 2014-12-22 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: "We are surrounded and deeply involved, in the natural world, with non- linear events which are not necessarily mathematical," the authors write. "For example . . . the nonlinear problem of pedalling a bicycle up and down a hillside. On a grand scale . . . the struggle for existence between two species, one of which preys exclusively on the other." This book is' for mathematicians and researchers who believe that "nonlinear mathematics is' the mathematics of today"; it is also for economists, engineers, operations analysts, "the reader who has been thus bemused into an artificially linear conception of the universe." Nonlinear Mathematics is the first attempt to consider the widest range of nonlinear topics found in the -scattered literature. Accessible to non- mathematics professionals as well as college seniors and graduates, it offers a discussion both particular and broad enough to stimulate research towards a unifying theory of nonlinear mathematics. Ideas are presented "according to existence and uniqueness theorems, characterization (e.g., stability and asymptotic behavior), construction of solutions, convergence, approximation and errors."

Quantum Dissipative Systems

Download Quantum Dissipative Systems PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9812791620
Total Pages : 527 pages
Book Rating : 4.8/5 (127 download)

DOWNLOAD NOW!


Book Synopsis Quantum Dissipative Systems by : Ulrich Weiss

Download or read book Quantum Dissipative Systems written by Ulrich Weiss and published by World Scientific. This book was released on 2008 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: Major advances in the quantum theory of macroscopic systems, in combination with experimental achievements, have brightened the field and brought it to the attention of the general community in natural sciences. This edition delves deeper into the fundamental concepts, methods, and applications of quantum dissipative systems.

Oscillatory Models in General Relativity

Download Oscillatory Models in General Relativity PDF Online Free

Author :
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110515229
Total Pages : 185 pages
Book Rating : 4.1/5 (15 download)

DOWNLOAD NOW!


Book Synopsis Oscillatory Models in General Relativity by : Esra Russell

Download or read book Oscillatory Models in General Relativity written by Esra Russell and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-11-20 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book employs oscillatory dynamical systems to represent the Universe mathematically via constructing classical and quantum theory of damped oscillators. It further discusses isotropic and homogeneous metrics in the Friedman-Robertson-Walker Universe and shows their equivalence to non-stationary oscillators. The wide class of exactly solvable damped oscillator models with variable parameters is associated with classical special functions of mathematical physics. Combining principles with observations in an easy to follow way, it inspires further thinking for mathematicians and physicists. Contents Part I: Dissipative geometry and general relativity theory Pseudo-Riemannian geometry and general relativity Dynamics of universe models Anisotropic and homogeneous universe models Metric waves in a nonstationary universe and dissipative oscillator Bosonic and fermionic models of a Friedman–Robertson–Walker universe Time dependent constants in an oscillatory universe Part II: Variational principle for time dependent oscillations and dissipations Lagrangian and Hamilton descriptions Damped oscillator: classical and quantum theory Sturm–Liouville problem as a damped oscillator with time dependent damping and frequency Riccati representation of time dependent damped oscillators Quantization of the harmonic oscillator with time dependent parameters

Oscillations and Waves

Download Oscillations and Waves PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3662034689
Total Pages : 537 pages
Book Rating : 4.6/5 (62 download)

DOWNLOAD NOW!


Book Synopsis Oscillations and Waves by : Fritz K. Kneubühl

Download or read book Oscillations and Waves written by Fritz K. Kneubühl and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: This very comprehensive and practical textbook presents a clear, systematic and comprehensive introduction to the relevant mathematics and physics of linear and nonlinear oscillations and waves. It explains even the most complicated cases clearly, with numerous illustrations for further clarification.

Modeling and Simulation

Download Modeling and Simulation PDF Online Free

Author :
Publisher : CRC Press
ISBN 13 : 1439863563
Total Pages : 501 pages
Book Rating : 4.4/5 (398 download)

DOWNLOAD NOW!


Book Synopsis Modeling and Simulation by : Hartmut Bossel

Download or read book Modeling and Simulation written by Hartmut Bossel and published by CRC Press. This book was released on 2018-10-08 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: Models and simulations of all kinds are tools for dealing with reality. Humans have always used mental models to better understand the world around them: to make plans, to consider different possibilities, to share ideas with others, to test changes, and to determine whether or not the development of an idea is feasible. The book Modeling and Simulation uses exactly the same approach except that the traditional mental model is translated into a computer model, and the simulations of alternative outcomes under varying conditions are programmed on the computer. The advantage of this method is that the computer can track the multitude of implications and consequences in complex relationships much more quickly and reliably than the human mind. This unique interdisciplinary text not only provides a self contained and complete guide to the methods and mathematical background of modeling and simulation software (SIMPAS) and a collection of 50 systems models on an accompanying diskette. Students from fields as diverse as ecology and economics will find this clear interactive package an instructive and engaging guide.

Stochastic Differential Equations

Download Stochastic Differential Equations PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9401137129
Total Pages : 414 pages
Book Rating : 4.4/5 (11 download)

DOWNLOAD NOW!


Book Synopsis Stochastic Differential Equations by : K. Sobczyk

Download or read book Stochastic Differential Equations written by K. Sobczyk and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Et moi, ..~ si lavait su CO.llUlJalt en revc:nir, One acMcc matbcmatica bu JaIdcred the human rac:c. It bu put COIDIDOD _ beet je n'y serais point aBe.' Jules Verne wbac it bdoup, 0Jl!be~ IbcII _t to!be dusty cauialcr Iabc & d 'diMardod__ The series is divergent; thc:reforc we may be -'. I!.ticT. Bc:I1 able to do something with it. O. Hcavisidc Mathematics is a tool for thought. A highly necessary tool in a world when: both feedback and non linearities abound. Similarly. all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statcmalts as: 'One service topology has rendered mathematical physics ...-; 'One service logic has rendered c0m puter science ... '; 'One service category theory has rendered mathematics ... '. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series. This series, Mathematics and Its Applications. started in 19n. Now that over one hundred volumes have appeared it seems opportune to reexamine its scope. At the time I wrote "Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However. the 'tree' of knowledge of mathematics and related fields does not grow only by putting forth new branc:hes. It also happens, quite often in fact, that branches which were thought to be completely

Synchronization

Download Synchronization PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3540721282
Total Pages : 426 pages
Book Rating : 4.5/5 (47 download)

DOWNLOAD NOW!


Book Synopsis Synchronization by : Alexander Balanov

Download or read book Synchronization written by Alexander Balanov and published by Springer Science & Business Media. This book was released on 2008-11-23 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fascinating work is devoted to the fundamental phenomenon in physics – synchronization that occurs in coupled non-linear dissipative oscillators. Examples of such systems range from mechanical clocks to population dynamics, from the human heart to neural networks. The main purpose of this book is to demonstrate that the complexity of synchronous patterns of real oscillating systems can be described in the framework of the general approach, and the authors study this phenomenon as applied to oscillations of different types, such as those with periodic, chaotic, noisy and noise-induced nature.

Extended Abstracts Spring 2018

Download Extended Abstracts Spring 2018 PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 3030252612
Total Pages : 282 pages
Book Rating : 4.0/5 (32 download)

DOWNLOAD NOW!


Book Synopsis Extended Abstracts Spring 2018 by : Andrei Korobeinikov

Download or read book Extended Abstracts Spring 2018 written by Andrei Korobeinikov and published by Springer Nature. This book was released on 2019-09-03 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains extended abstracts outlining selected presentations delivered by participants of the joint international multidisciplinary workshop MURPHYS-HSFS-2018 (MUltiRate Processes and HYSteresis; Hysteresis and Slow-Fast Systems), dedicated to the mathematical theory and applications of the multiple scale systems, the systems with hysteresis and general trends in the dynamical systems theory. The workshop was jointly organized by the Centre de Recerca Matemàtica (CRM), Barcelona, and the Collaborative Research Center 910, Berlin, and held at the Centre de Recerca Matemàtica in Bellaterra, Barcelona, from May 28th to June 1st, 2018. This was the ninth workshop continuing a series of biennial meetings started in Ireland in 2002, and the second workshop of this series held at the CRM. Earlier editions of the workshops in this series were held in Cork, Pechs, Suceava, Lutherstadt and Berlin. The collection includes brief research articles reporting new results, descriptions of preliminary work, open problems, and the outcome of work in groups initiated during the workshop. Topics include analysis of hysteresis phenomena, multiple scale systems, self-organizing nonlinear systems, singular perturbations and critical phenomena, as well as applications of the hysteresis and the theory of singularly perturbed systems to fluid dynamics, chemical kinetics, cancer modeling, population modeling, mathematical economics, and control. The book is intended for established researchers, as well as for PhD and postdoctoral students who want to learn more about the latest advances in these highly active research areas.

Differential Equations and Linear Algebra

Download Differential Equations and Linear Algebra PDF Online Free

Author :
Publisher : Wellesley-Cambridge Press
ISBN 13 : 9780980232790
Total Pages : 0 pages
Book Rating : 4.2/5 (327 download)

DOWNLOAD NOW!


Book Synopsis Differential Equations and Linear Algebra by : Gilbert Strang

Download or read book Differential Equations and Linear Algebra written by Gilbert Strang and published by Wellesley-Cambridge Press. This book was released on 2015-02-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential equations and linear algebra are two central topics in the undergraduate mathematics curriculum. This innovative textbook allows the two subjects to be developed either separately or together, illuminating the connections between two fundamental topics, and giving increased flexibility to instructors. It can be used either as a semester-long course in differential equations, or as a one-year course in differential equations, linear algebra, and applications. Beginning with the basics of differential equations, it covers first and second order equations, graphical and numerical methods, and matrix equations. The book goes on to present the fundamentals of vector spaces, followed by eigenvalues and eigenvectors, positive definiteness, integral transform methods and applications to PDEs. The exposition illuminates the natural correspondence between solution methods for systems of equations in discrete and continuous settings. The topics draw on the physical sciences, engineering and economics, reflecting the author's distinguished career as an applied mathematician and expositor.

Nonlinear Control Systems

Download Nonlinear Control Systems PDF Online Free

Author :
Publisher : CRC Press
ISBN 13 : 0824747631
Total Pages : 405 pages
Book Rating : 4.8/5 (247 download)

DOWNLOAD NOW!


Book Synopsis Nonlinear Control Systems by : Zoran Vukic

Download or read book Nonlinear Control Systems written by Zoran Vukic and published by CRC Press. This book was released on 2003-02-04 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text emphasizes classical methods and presents essential analytical tools and strategies for the construction and development of improved design methods in nonlinear control. It offers engineering procedures for the frequency domain, as well as solved examples for clear understanding of control applications in the industrial, electrical, process, manufacturing, and automotive industries. The authors discuss Properties of nonlinear systems, stability, linearization methods, operating modes and dynamic analysis methods, phase trajectories in dynamic analysis of nonlinear systems, and harmonic linearization in dynamic analysis of nonlinear control systems operating in stabilization mode.

Mathematical Economics

Download Mathematical Economics PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 1349815470
Total Pages : 829 pages
Book Rating : 4.3/5 (498 download)

DOWNLOAD NOW!


Book Synopsis Mathematical Economics by : NA NA

Download or read book Mathematical Economics written by NA NA and published by Springer. This book was released on 2016-01-19 with total page 829 pages. Available in PDF, EPUB and Kindle. Book excerpt: