Multiple slowly oscillating periodic solutions for x'(t) = f(x(t-1))\n with negative feedback

2015/12/30 by Benjamin C. Kennedy, Kennedy, Benjamin, Eugen Stumpf +1
Engineering · Mathematics · Medicine · #34C25 (Secondary) #34K13 (Primary) #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Differential Equations Analysis #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1512.09174

openalex publication_date 2015/12/30 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

Abstract

We consider the prototype equation x'(t) = f(x(t-1)) for delayed negative\nfeedback. We review known results on uniqueness and nonuniqueness of slowly\noscillating periodic solutions, and present some new results and examples.\n

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