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World of Nonlinear ODEs

  • Richard H. Enns
Chapter
Part of the Springer Undergraduate Texts in Mathematics and Technology book series (SUMAT)

Zusammenfassung

In the next three chapters some of the more important mathematical properties of nonlinear dynamical systems as well as the diagnostic tools for analyzing such systems will be introduced. This is a vast subject, so we will only present enough so that you can appreciate and understand the various topics that will be presented in subsequent chapters as we explore the various domains of our nonlinear world. Where needed to further our understanding, we will later expand on these nonlinear mathematical concepts, and even introduce some new ones. In this chapter the properties of nonlinear ODE systems are examined, the subsequent two chapters dealing with nonlinear difference equations (commonly referred to as nonlinear maps) and, much more briefly, with nonlinear PDEs and cellular automata.

Keywords

Strange Attractor Stable Limit Cycle Tangent Field Duffing Oscillator Capacity Dimension 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of PhysicsSimon Fraser UniversityBurnabyCanada

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