Existence of closed orbits for a differential equation model concerning multi-molecule reactions
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In this paper, the existence of closed orbits for the biochemical reaction model\(i\dot a = \hat H(t)a\) is discussed, where n is a positive integer and x≥0, y≥0, a>0. We also point out that the equation has no closed orbits or has stable limit cycles arising from Hopf bifurcations under a certain condition of a.
Key wordsclosed orbit limit cycle fine focus Hopf bifurcation
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