Analytical and Numerical Bifurcation Analysis of Circuits Based on Nonlinear Resonators

This work presents new frequency-domain methods for the analysis and simulation of circuits based on a nonlinear resonator, with operation ranges delimited by turning points. Insightful analytical conditions fulfilled at these points are derived, which will enable an identification effect each circuit element their location in solution curve. The cusp points, or co-dimension two bifurcations merge into one, thus delimiting multivalued intervals, directly calculated first time to our knowledge. In addition, numerical method, compatible use commercial harmonic balance, is presented straightforward tracing curves, together procedure determine locus terms any parameters. relies mathematical condition obtain surface space defined parameters input power. have been applied wireless power-transfer system recently proposed configuration, obtaining very good agreement experimental results.