Abstract
The dynamical transitions resulting from time delay in single Hindmarsh–Rose system are investigated in the present paper. As the time delay varies, the change of the structure of slow manifold is first formulated by using the method of stability switch. Then, the delay-induced dynamical transitions are investigated through the analysis of geometric singular perturbation, and in several case studies, the mechanism of the dynamical transitions is illuminated. Numerical results demonstrate the validity of the theoretical results.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
