Influences of harmonic coupling on bifurcations in duffing oscillator with bounded potential well

CHAOTIC MOTION IN THE GENERIC SEPARATRIX

CHAOTIC MOTION IN THE GENERIC SEPARATRIX BAND OF A MATHIEU–DUFFING OSCILLATOR WITH A TWIN-WELL POTENTIAL

✍ A.C.J. LUO 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 378 KB

The resonant conditions for the Mathieu}Du$ng oscillator are determined, and the resonant orders for the inside and outside of the generic separatrix are (M : 1) and (2M : 1) respectively. The excitation strength for the onset of a speci"c resonance in the generic separatrix band is predicted analyt