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Asymmetric Duffing Equation and Chaos by Behzad Behdani is a document available to read on EtoBox.
1) The authors introduce an asymmetry term βx to the classical Duffing equation to model an asymmetric double-well potential. 2) Using Melnikov theory, they show that the asymmetry term causes a relatively large dependence on the parameter β of the Melnikov ratio R, which controls the appearance of chaotic motion. 3) Specifically, they find that the asymmetry splits the single homoclinic orbit of the symmetric Duffing equation into two distinct orbits, splitting the single Melnikov ratio R into two values
- Author
- Behzad Behdani
- Language
- EN