Exact solution of the cubic-quintic Duffing oscillator

By A. Elías-Zúñiga. 2013

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Abstract In this paper, we derive the exact solution of the cubic-quintic Duffing oscillator based on the use of Jacobi elliptic functions. We also showed that the exact angular frequency of this cubic-quintic Duffing equation is given in terms of the complete elliptic integral of the first kind.

Subfields: Atomic and Molecular Physics, and Optics, Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/f17577ed2dd76cbae0ed77dbb598f9bbadb3c11b