Periodic Solutions of Singularly Perturbed Systems
نویسندگان
چکیده
منابع مشابه
Periodic solutions of a singularly perturbed delay differential equation
A singularly perturbed differential delay equation of the form ẋ(t) = −x(t)+ f (x(t − 1), λ) (1) exhibits slowly oscillating periodic solutions (SOPS) near the first period-doubling bifurcation point of the underlying map (obtained by setting = 0). For extremely small values of , these periodic solutions resemble square waves, which consist of sharp, O( ) transition layers connecting intervals ...
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where h is an integer and the Ak(x)’s are n×n matrices whose entries lie in the ring of formal power series in x with complex coefficients. Such systems are traced back to the year 1817 [10, Historical Introduction] and are exhibited in a myriad of problems within diverse disciplines including astronomy, hydrodynamic stability, and quantum physics [1, 5, 8]. Their study encompasses a vast body ...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 1955
ISSN: 0022-2518
DOI: 10.1512/iumj.1955.4.54036