Нелинейная динамика
  • формат pdf
  • размер 13.84 МБ
  • добавлен 25 декабря 2010 г.
Enns R.H. It's a Nonlinear World
Springer, 2010. - 382 pages.

Drawing examples from mathematics, physics, chemistry, biology, engineering, economics, medicine, politics, and sports, this book illustrates how nonlinear dynamics plays a vital role in our world. Examples cover a wide range from the spread and possible control of communicable diseases, to the lack of predictability in long-range weather forecasting, to competition between political groups and nations.

After an introductory chapter that explores what it means to be nonlinear, the book covers the mathematical concepts such as limit cycles, fractals, chaos, bifurcations, and solitons, that will be applied throughout the book. Numerous computer simulations and exercises allow students to explore topics in greater depth using the Maple computer algebra system. The mathematical level of the text assumes prior exposure to ordinary differential equations and familiarity with the wave and diffusion equations. No prior knowledge of Maple is assumed, and all Maple examples are included on a CD.

The book may be used at the undergraduate or graduate level to prepare science and engineering students for problems in the "real world", or for self-study by practicing scientists and engineers.
Похожие разделы
Смотрите также

Alligood K., Sauer T., Yorke J.A. Chaos: An Introduction to Dynamical Systems

  • формат pdf
  • размер 7.28 МБ
  • добавлен 18 мая 2010 г.
New York: Springer, 1996. - 612 pp. На англ. яз. Chaos: An Introduction to Dynamical Systems is a new textbook aimed at introducing the world of nonlinear dynamics and chaos to students in mathematics and the sciences. The authors' goal is to explain the basic concepts in a way that reflects the wide range of influences present during the development of nonlinear dynamics, from mathematics, theoretical science, experimental science, and computer...

Kantz H. Schreiber Nonlinear Time Series Analysis

  • формат pdf
  • размер 36.41 МБ
  • добавлен 11 апреля 2011 г.
2 edition. Cambridge University Press, 2004. 388 p. ISBN:0521821509 The time variability of many natural and social phenomena is not well described by standard methods of data analysis. However, nonlinear time series analysis uses chaos theory and nonlinear dynamics to understand seemingly unpredictable behavior. The results are applied to real data from physics, biology, medicine, and engineering in this volume. Researchers from all experiment...

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...

Kovacic I., Brennan M.J. (editors) The Duffing Equation: Nonlinear Oscillators and their Behaviour

  • формат pdf
  • размер 15.56 МБ
  • добавлен 13 мая 2011 г.
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 equati...

Manneville P. Instabilities, Chaos And Turbulence: An Introduction To Nonlinear Dynamics And Complex Systems

  • формат pdf
  • размер 17.07 МБ
  • добавлен 24 декабря 2010 г.
World Scientific Publishing Company, 2004. - 408 pages. This book is an introduction to the application of nonlinear dynamics to problems of stability, chaos and turbulence arising in continuous media and their connection to dynamical systems. With an emphasis on the understanding of basic concepts, it should be of interest to nearly any science-oriented undergraduate and potentially to anyone who wants to learn about recent advances in the fiel...

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...

Sch?ll E. Nonlinear Spatio-Temporal Dynamics and Chaos in Semiconductors

  • формат pdf
  • размер 13.04 МБ
  • добавлен 24 октября 2011 г.
Cаmbridge Univеrsity Prеss, 2005, 424 pages Nonlinear transport phenomena are an increasingly important aspect of modern semiconductor research. This volume deals with complex nonlinear dynamics, pattern formation, and chaotic behavior in such systems. It bridges the gap between two well-established fields: the theory of dynamic systems and nonlinear charge transport in semiconductors. This unified approach helps reveal important electronic tr...

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...