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Perturbation (Mathematics)

  • Control-oriented Modelling and Identificationby Marco Lovera

    The Institution of Engineering and Technology 2015; US$ 120.00

    The process of developing control-oriented mathematical models of physical systems is a complex task, which in general implies a careful combination of prior knowledge about the physics of the system under study with information coming from experimental data. This book presents state of the art methods and tools available within the systems and control... more...

  • Lambda-Matrices and Vibrating Systemsby Peter Lancaster; I. N. Sneddon; M. Stark; J. P. Kahane

    Elsevier Science 2014; US$ 72.95

    Lambda-Matrices and Vibrating Systems presents aspects and solutions to problems concerned with linear vibrating systems with a finite degrees of freedom and the theory of matrices. The book discusses some parts of the theory of matrices that will account for the solutions of the problems. The text starts with an outline of matrix theory, and some... more...

  • Dissipative Structures and Weak Turbulenceby Paul Manneville

    Elsevier Science 2014; US$ 139.00

    Dissipative Structure and Weak Turbulence provides an understanding of the emergence and evolution of structures in macroscopic systems. This book discusses the emergence of dissipative structures. Organized into 10 chapters, this book begins with an overview of the stability of a fluid layer with potentially unstable density stratification in the... more...

  • Robust Filtering for Uncertain Systemsby Huijun Gao; Xianwei Li

    Springer International Publishing 2014; US$ 109.00

    This monograph provides the reader with a systematic treatment of robust filter design, a key issue in systems, control and signal processing, because of the fact that the inevitable presence of uncertainty in system and signal models often degrades the filtering performance and may even cause instability. The methods described are therefore not subject... more...

  • Theory of Oscillatorsby A. A. Andronov; A. A. Vitt; S. E. Khaikin

    Elsevier Science 2013; US$ 93.95

    Theory of Oscillators presents the applications and exposition of the qualitative theory of differential equations. This book discusses the idea of a discontinuous transition in a dynamic process. Organized into 11 chapters, this book begins with an overview of the simplest type of oscillatory system in which the motion is described by a linear differential... more...

  • Lyapunov-type Inequalitiesby Juan Pablo Pinasco

    Springer New York 2013; US$ 54.99

    ?The eigenvalue problems for quasilinear and nonlinear operators present many differences with the linear case, and a Lyapunov inequality for quasilinear resonant systems showed the existence of  eigenvalue asymptotics driven by the coupling of the equations instead of the order of the equations. For p=2, the coupling and the order of the equations... more...

  • Asymptotic Analysis and Perturbation Theoryby William Paulsen

    CRC Press 2013; US$ 115.95

    Introduction to Asymptotics Basic Definitions Limits via Asymptotics Asymptotic Series Inverse Functions Dominant Balance Asymptotics of Integrals Integrating Taylor Series Repeated Integration by Parts Laplace's Method Review of Complex Numbers Method of Stationary Phase Method of Steepest Descents Speeding Up Convergence... more...

  • Nonconservative Stability Problems of Modern Physicsby Oleg N. Kirillov

    De Gruyter 2013; US$ 182.00

    This work gives a complete overview on the subject of nonconservative stability from the modern point of view. Relevant mathematical concepts are presented, as well as rigorous stability results and numerous classical and contemporary examples from mechanics and physics. The book shall serve to present and prospective specialists providing... more...

  • Introduction to Perturbation Methodsby Mark H. Holmes

    Springer 2013; US$ 79.95

    This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten years to students in applied mathematics, engineering sciences, and physics. Each chapter begins with an introductory development involving ordinary differential equations, and goes on to cover such traditional topics as boundary layers... more...

  • A Vector Approach To Oscillationsby Henry G. Booker

    Elsevier Science 2012; US$ 31.95

    A Vector Approach to Oscillations focuses on the processes in handling oscillations. Divided into four chapters, the book opens with discussions on the technique of handling oscillations. Included in the discussions are the addition and subtraction of oscillations using vectors; the square root of two vectors; the role of vector algebra in oscillation... more...