Optimisation of chaotically perturbed acoustic limit cycles
نویسندگان
چکیده
منابع مشابه
Limit Cycles Bifurcating from a Perturbed Quartic Center
We consider the quartic center ẋ = −yf(x, y), ẏ = xf(x, y), with f(x, y) = (x+a)(y+b)(x+c) and abc 6= 0. Here we study the maximum number σ of limit cycles which can bifurcate from the periodic orbits of this quartic center when we perturb it inside the class of polynomial vector fields of degree n, using the averaging theory of first order. We prove that 4[(n− 1)/2] + 4 ≤ σ ≤ 5[(n− 1)/2 + 14, ...
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ژورنال
عنوان ژورنال: Nonlinear Dynamics
سال: 2020
ISSN: 0924-090X,1573-269X
DOI: 10.1007/s11071-020-05582-x