Coalescence of stable and unstable limit cycles
Abstract
This chapter describes how limit cycles can coalesce, resulting in the birth or death of limit cycles. It is analogous to the birth/death of equilibria that occurs at a saddle-node bifurcation and is called a saddle-node of periodics bifurcation. This chapter describes such bifurcations.
Fields of Study & Subjects
Advanced Differential Equations and Dynamical Systems
Nonlinear Dynamics and Pattern Formation
Chaos control and synchronization
Publication details
- Journal / source
- Chapman & Hall/CRC eBooks
- Pages
- 31–37
- Publication date
- 27 February 2026
- Language
- EN
- Document type
- Book chapter