Outline
DOI: 10.14232/ejqtde.2026.1.54 ISSN: 1417-3875
A scalar differential delay equation with level-dependent response time
Zarin Eshika, Benjamin Kennedy, Anindo Majumder, Linh Nguyen, Damian VuWe examine the dynamics of some model scalar differential equations with negative feedback and a particular kind of state-dependent delay. The equations are chosen as maximally simple models representing the assumptions that larger deviations from equilibrium either strengthen or weaken the feedback response, and either increase or decrease the delay time. We establish several dynamical behaviors for various of our examples, including uniqueness/non-uniqueness of "slowly oscillating" periodic solutions and chaos.
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