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Funny limit cycles by Magne Stensland

Funny limit cycles

by Magne Stensland
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Book cover type: Paperback
  • ISBN13: 9786208433468
  • Binding: Paperback
  • Subject: N/A
  • Publisher: LAP Lambert Academic Publishing
  • Publisher Imprint: LAP Lambert Academic Publishing
  • Publication Date:
  • Pages: 84
  • Original Price: GBP 37.0
  • Language: English
  • Edition: N/A
  • Item Weight: 123 grams
  • BISAC Subject(s): General

This book is presenting a method for making first-order systems of nonlinear autonomous ODEs that exhibit limit cycles with a specific geometric shape in two and three dimensions, or systems of ODEs where surfaces in three dimensions have attractor behavior. The method is to make the general solutions first by using the exponential function, sine and cosine. We are building up the general solutions bit for bit according to the constant terms that contain the formula of the desired limit cycle, and differentiating them. We will obtain a system of ODEs with the desired behavior. We design the general solutions for a distinct purpose.

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