Abstract
We investigate the structure of the set of periodic solutions of a time-dependent generalized version of the sunflower equation (in fact of the delayed Liénard equation), where the coefficients can vary periodically, thus allowing for environmental oscillations. Our result stems from a more general analysis, based on fixed point index and degree-theoretic methods, of the set of T-periodic solutions of T-periodically perturbed coupled delay differential equations on differentiable manifolds.
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Bisconti, L., Spadini, M. Sunflower model: time-dependent coefficients and topology of the periodic solutions set. Nonlinear Differ. Equ. Appl. 22, 1573–1590 (2015). https://doi.org/10.1007/s00030-015-0336-z
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DOI: https://doi.org/10.1007/s00030-015-0336-z