@article{Ai2025, 
author = {Xin Ai and Yue Zhang},
title = {Singular Hopf bifurcation in singularly perturbed system with delay},
year = {2025},
journal = {Electronic Research Archive},
volume = {33},
number = {11},
pages = {7198-7215},
keywords = {singularly perturbed system, delay, singular Hopf bifurcation},
url = {https://www.sciopen.com/article/10.3934/era.2025318},
doi = {10.3934/era.2025318},
abstract = {In this paper, we study the singular Hopf bifurcation in a class of singularly perturbed systems with delay. The key condition for the generation of a singular Hopf bifurcation involves the existence of eigenvalues of the singular pure imaginary part. The necessary and sufficient conditions for the generation of a singular Hopf bifurcation are discussed in a class of general nonlinear    (  n  ,  1  )-fast-slow systems with delay on slow variables    (  n  ≥  1  ).}
}