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Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
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Funny limit cycles

Funny limit cycles

Paperback

General Mathematics

ISBN10: 6208433460
ISBN13: 9786208433468
Publisher: LAP Lambert Academic Publishing
Published: Mar 18 2025
Pages: 84
Weight: 0.27
Height: 0.20 Width: 6.00 Depth: 9.00
Language: English
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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General Mathematics