A general approach for constructing the limit cycle loci of multiple-nonlinearity systems

This note presents a widely convergent algorithm for finding a limit cycle of systems with multiple nonlinearities. A systematic approach is proposed for constructing the limit cycle loci on the parameter planes. The merits of this approach lie in its simplicity, generality, and ability to provide deeper insight into parameter influences on the limit cycle. Besides, stability of the limit cycle can be predicted with a minimum amount of computations.