Нелинейная динамика
Математика
  • формат pdf
  • размер 15.56 МБ
  • добавлен 13 мая 2011 г.
Kovacic I., Brennan M.J. (editors) The Duffing Equation: Nonlinear Oscillators and their Behaviour
Wiley, 2011. - 386 pages.

The Duffing Equation: Nonlinear Oscillators and their Behaviour brings together the results of a wealth of disseminated research literature on the Duffing equation, a key engineering model with a vast number of applications in science and engineering, summarizing the findings of this research. Each chapter is written by an expert contributor in the field of nonlinear dynamics and addresses a different form of the equation, relating it to various oscillatory problems and clearly linking the problem with the mathematics that describe it. The editors and the contributors explain the mathematical techniques required to study nonlinear dynamics, helping the reader with little mathematical background to understand the text.

The Duffing Equation provides a reference text for postgraduate and students and researchers of mechanical engineering and vibration / nonlinear dynamics as well as a useful tool for practising mechanical engineers.
Includes a chapter devoted to historical background on Georg Duffing and the equation that was named after him.
Includes a chapter solely devoted to practical examples of systems whose dynamic behaviour is described by the Duffing equation.
Contains a comprehensive treatment of the various forms of the Duffing equation.
Uses experimental, analytical and numerical methods as well as concepts of nonlinear dynamics to treat the physical systems in a unified way.
Похожие разделы
Смотрите также

Ablowitz M.A. Nonlinear Dispersive Waves: Asymptotic Analysis and Solitons

  • формат pdf
  • размер 4.65 МБ
  • добавлен 11 декабря 2011 г.
Cambridge University Press, 2011,362 p. The field of nonlinear dispersive waves has developed enormously since the work of Stokes, Boussinesq and Korteweg-de Vries (KdV) in the nineteenth century. In the 1960s, researchers developed effective asymptotic methods for deriving nonlinear wave equations, such as the KdV equation, governing a broad class of physical phenomena that admit special solutions including those commonly known as solitons. This...

Hogan J., Champneys A., Krauskopf B., di Bernardo M., Wilson E., Osinga H., Homer M. (editors) Nonlinear Dynamics and Chaos: Where do we go from here?

  • формат pdf
  • размер 26.71 МБ
  • добавлен 25 декабря 2010 г.
Taylor & Francis, 2002. - 376 pages. Nonlinear dynamics has been successful in explaining complicated phenomena in well-defined low-dimensional systems. Now it is time to focus on real-life problems that are high-dimensional or ill-defined, for example, due to delay, spatial extent, stochasticity, or the limited nature of available data. How can one understand the dynamics of such systems? Written by international experts, Nonlinear Dynamics...

Kapitaniak T., Bishop S.R. The Illustrated Dictionary of Nonlinear Dynamics and Chaos

  • формат djvu
  • размер 2.01 МБ
  • добавлен 24 декабря 2010 г.
John Wiley & Sons, 1999. - 267 pages. The study of nonlinear dynamics is one of the most active fields in modern science. It reaches across the whole range of scientific study, and is applied in fields as diverse as physics, engineering, biology, economics and medicine. However, the mathematical language used to describe nonlinear dynamics, and the proliferation of new terminology, can make the use of nonlinear dynamics a daunting task to th...

Korsch H.J., Jodl H.-J. Chaos: A Program Collection for the PC; with many numerical experiments

  • формат djvu
  • размер 3.51 МБ
  • добавлен 06 сентября 2011 г.
1st ed. Springer-Verlag Berlin Heidelberg New York, 1994, 1999. 312 p. ISBN:3-540-57457-3. 2nd ed. Springer-Verlag Berlin Heidelberg New York, 1994, 1999. 312 p. ISBN:3-540-63893-8. Table of Contents. Overview and Basic Concepts. Nonlinear Dynamics and Deterministic Chaos. Billiard Systems. Gravitational Billiards: The Wedge. The Double Pendulum. Chaotic Scattering. Fermi Acceleration. The Duffing Oscillator. Feigenbaum Scenario. Nonlinear Electr...

Korsch H.J., Jodl H.-J. Chaos: a program collection for the PC; with many numerical experiments

  • формат pdf
  • размер 14.34 МБ
  • добавлен 27 февраля 2011 г.
Springer-verlag, 2008. 352 р. ISBN 978-3-540-63893-3 (2nd ed. ) This new edition strives yet again to provide readers with a working knowledge of chaos theory and dynamical systems through parallel introductory explanations in the book and interaction with carefully-selected programs supplied on the accompanying diskette. The programs enable readers, especially advanced-undergraduate students in physics, engineering, and math, to tackle relevant...

Nayfeh A.H., Mook D.T. Nonlinear Oscillations

  • формат djvu
  • размер 6.65 МБ
  • добавлен 01 февраля 2011 г.
Wiley, 1995. - 720 pages. Nonlinear Oscillations is a self-contained and thorough treatment of the vigorous research that has occurred in nonlinear mechanics since 1970. The book begins with fundamental concepts and techniques of analysis and progresses through recent developments and provides an overview that abstracts and introduces main nonlinear phenomena. It treats systems having a single degree of freedom, introducing basic concepts and an...

Sastry S. Nonlinear Systems

  • формат pdf
  • размер 6.8 МБ
  • добавлен 11 июня 2011 г.
Springer, 1999. - 704 pages. There has been a great deal of excitement over the last few years concerning the emergence of new mathematical techniques for the analysis and control of nonlinear systems: witness the emergence of a set of simplified tools for the analysis of bifurcations, chaos and other complicated dynamical behaviour and the development of a comprehensive theory of nonlinear control. Coupled with this set of analytic advances has...

Sprott J.C. Elegant Chaos: Algebraically Simple Chaotic Flows

  • формат pdf
  • размер 21.03 МБ
  • добавлен 06 февраля 2011 г.
World Scientific Publishing Company, 2010. - 304 pages. This heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. It includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz and many others, but it goes on to show that there are many other systems that are simpler and more elegant. Many of these systems have been only recently dis...

Tenreiro Machado J.A., Luo A., Barbosa R., Silva M., Figueiredo L. (editors) Nonlinear Science and Complexity

  • формат pdf
  • размер 9.88 МБ
  • добавлен 25 декабря 2010 г.
Springer, 2010. - 434 pages. This book contains selected papers of NSC08, the 2nd Conference on Nonlinear Science and Complexity, held 28-31 July, 2008, Porto, Portugal. It focuses on fundamental theories and principles, analytical and symbolic approaches, computational techniques in nonlinear physics and mathematics. Topics treated include: Chaotic Dynamics and Transport in Classic and Quantum Systems; Complexity and Nonlinearity in Molecular D...

Tom?s-Rodriguez M., Banks S.P. Linear, Time-varying Approximations to Nonlinear Dynamical Systems: with Applications in Control and Optimization

  • формат pdf
  • размер 2.78 МБ
  • добавлен 18 ноября 2011 г.
Springer-Verlag Berlin, 2010, 298 pages Linear, Time-varying Approximations to Nonlinear Dynamical Systems introduces a new technique for analysing and controlling nonlinear systems. This method is general and requires only very mild conditions on the system nonlinearities, setting it apart from other techniques such as those – well-known – based on differential geometry. The authors cover many aspects of nonlinear systems including stability t...