Bursting oscillations, bifurcation delay and multi-stability in complex nonlinear systems

Abstract

This special issue presents 32 contributions on bifurcation, chaos, and bursting oscillations. Some of them are devoted to dynamical behaviors, some to modeling and stability analysis. Bifurcation and chaos are important in the research of nonlinear dynamical behaviors, and bursting oscillations at multiple time scales also have a significant influence on these systems. This leads to many conclusions that can be used to guide practical engineering. A large number of new methods have been proposed for practical model-building and analysis, including scaling, adaptive control, and deep learning methods.