Bifurcations and Exact Solutions in a Symmetric Triple-Well Model
Abstract
In this paper, we consider the bifurcations and exact solutions in the symmetric [Formula: see text] triple-well model. By using the method of dynamical systems, we obtain bifurcations of the phase portraits of the corresponding planar dynamical system under different parameter conditions. Corresponding to some level curves, we derive possible exact explicit parametric representations of the smooth periodic solution, homoclinic solutions, as well as heteroclinic solutions.
Fields of Study & Subjects
Advanced Differential Equations and Dynamical Systems
Chaos control and synchronization
Navier-Stokes equation solutions
Publication details
- Journal / source
- International Journal of Bifurcation and Chaos
- Publisher
- World Scientific Pub Co Pte Ltd
- Volume
- 36
- Issue
- 10
- Publication date
- 17 April 2026
- Language
- EN