The Crucial Formula for Determination of the Occurrence of the   Non-Chaotic States in the rf-biased Nonlinear Oscillators
  The crucial formulas to determine the non-chaotic states in the rf-biased nonlinear oscillators are derived from the numerical experiments. The nature of these formulas, which depends on symmetrical properties of the potential well, in terms of the driven-frequency as a function of the damping constant k is investigated. All these ones provide crucial guide posts to check which kinds of solutions (simple or complicated) can be tailored in the dissipative rf-biased nonlinear oscillators, respectively. 
T.H. Yang, C.S. Wang, J.C. Huang, Y.S. Gou