Introduction to Nonlinear Oscillations
Title | Introduction to Nonlinear Oscillations PDF eBook |
Author | Vladimir I. Nekorkin |
Publisher | John Wiley & Sons |
Pages | 264 |
Release | 2015-04-01 |
Genre | Science |
ISBN | 3527685421 |
A systematic outline of the basic theory of oscillations, combining several tools in a single textbook. The author explains fundamental ideas and methods, while equally aiming to teach students the techniques of solving specific (practical) or more complex problems. Following an introduction to fundamental notions and concepts of modern nonlinear dynamics, the text goes on to set out the basics of stability theory, as well as bifurcation theory in one and two-dimensional cases. Foundations of asymptotic methods and the theory of relaxation oscillations are presented, with much attention paid to a method of mappings and its applications. With each chapter including exercises and solutions, including computer problems, this book can be used in courses on oscillation theory for physics and engineering students. It also serves as a good reference for students and scientists in computational neuroscience.
An Introduction to Nonlinear Oscillations
Title | An Introduction to Nonlinear Oscillations PDF eBook |
Author | Ronald E. Mickens |
Publisher | CUP Archive |
Pages | 234 |
Release | 1981 |
Genre | Science |
ISBN | 9780521222082 |
An introductory account of the equations describing nonlinear oscillations & the methods for solving them.
Nonlinear Oscillations
Title | Nonlinear Oscillations PDF eBook |
Author | Ivana Kovacic |
Publisher | Springer Nature |
Pages | 278 |
Release | 2020-08-14 |
Genre | Technology & Engineering |
ISBN | 3030531724 |
This book presents exact, closed-form solutions for the response of a variety of nonlinear oscillators (free, damped, forced). The solutions presented are expressed in terms of special functions. To help the reader understand these `non-standard' functions, detailed explanations and rich illustrations of their meanings and contents are provided. In addition, it is shown that these exact solutions in certain cases comprise the well-known approximate solutions for some nonlinear oscillations.
An Introduction to Nonlinear Chemical Dynamics
Title | An Introduction to Nonlinear Chemical Dynamics PDF eBook |
Author | Irving R. Epstein |
Publisher | Oxford University Press |
Pages | 407 |
Release | 1998-10-22 |
Genre | Science |
ISBN | 0198025661 |
Just a few decades ago, chemical oscillations were thought to be exotic reactions of only theoretical interest. Now known to govern an array of physical and biological processes, including the regulation of the heart, these oscillations are being studied by a diverse group across the sciences. This book is the first introduction to nonlinear chemical dynamics written specifically for chemists. It covers oscillating reactions, chaos, and chemical pattern formation, and includes numerous practical suggestions on reactor design, data analysis, and computer simulations. Assuming only an undergraduate knowledge of chemistry, the book is an ideal starting point for research in the field. The book begins with a brief history of nonlinear chemical dynamics and a review of the basic mathematics and chemistry. The authors then provide an extensive overview of nonlinear dynamics, starting with the flow reactor and moving on to a detailed discussion of chemical oscillators. Throughout the authors emphasize the chemical mechanistic basis for self-organization. The overview is followed by a series of chapters on more advanced topics, including complex oscillations, biological systems, polymers, interactions between fields and waves, and Turing patterns. Underscoring the hands-on nature of the material, the book concludes with a series of classroom-tested demonstrations and experiments appropriate for an undergraduate laboratory.
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
Title | Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields PDF eBook |
Author | John Guckenheimer |
Publisher | Springer Science & Business Media |
Pages | 475 |
Release | 2013-11-21 |
Genre | Mathematics |
ISBN | 1461211409 |
An application of the techniques of dynamical systems and bifurcation theories to the study of nonlinear oscillations. Taking their cue from Poincare, the authors stress the geometrical and topological properties of solutions of differential equations and iterated maps. Numerous exercises, some of which require nontrivial algebraic manipulations and computer work, convey the important analytical underpinnings of problems in dynamical systems and help readers develop an intuitive feel for the properties involved.
Introduction to Nonlinear Oscillations
Title | Introduction to Nonlinear Oscillations PDF eBook |
Author | Vladimir I. Nekorkin |
Publisher | John Wiley & Sons |
Pages | 264 |
Release | 2016-05-02 |
Genre | Science |
ISBN | 352768543X |
A systematic outline of the basic theory of oscillations, combining several tools in a single textbook. The author explains fundamental ideas and methods, while equally aiming to teach students the techniques of solving specific (practical) or more complex problems. Following an introduction to fundamental notions and concepts of modern nonlinear dynamics, the text goes on to set out the basics of stability theory, as well as bifurcation theory in one and two-dimensional cases. Foundations of asymptotic methods and the theory of relaxation oscillations are presented, with much attention paid to a method of mappings and its applications. With each chapter including exercises and solutions, including computer problems, this book can be used in courses on oscillation theory for physics and engineering students. It also serves as a good reference for students and scientists in computational neuroscience.
Oscillations in Nonlinear Systems
Title | Oscillations in Nonlinear Systems PDF eBook |
Author | Jack K. Hale |
Publisher | |
Pages | 202 |
Release | 1963 |
Genre | Nonlinear mechanics |
ISBN |