Maximum Number of Limit Cycles for Generalized Kukles Polynomial Differential Systems
Sign Up to like & getrecommendations! Published in 2019 at "Differential Equations and Dynamical Systems"
DOI: 10.1007/s12591-016-0300-3
Abstract: We study the maximum number of limit cycles of the polynomial differential systems of the form $$\begin{aligned} \dot{x}=-y+l(x), \,\dot{y}=x-f(x)-g(x)y-h(x)y^{2}-d_{0}y^{3}, \end{aligned}$$x˙=-y+l(x),y˙=x-f(x)-g(x)y-h(x)y2-d0y3,where $$l(x)=\varepsilon l^{1}(x)+\varepsilon ^{2}l^{2}(x),$$l(x)=εl1(x)+ε2l2(x),$$f(x)=\varepsilon f^{1}(x)+\varepsilon ^{2}f^{2}(x),$$f(x)=εf1(x)+ε2f2(x),$$g(x)=\varepsilon g^{1}(x)+\varepsilon ^{2}g^{2}(x),$$g(x)=εg1(x)+ε2g2(x),$$h(x)=\varepsilon h^{1}(x)+\varepsilon ^{2}h^{2}(x)$$h(x)=εh1(x)+ε2h2(x) and $$d_{0}=\varepsilon d_{0}^{1}+\varepsilon ^{2}d_{0}^{2}$$d0=εd01+ε2d02 where $$l^{k}(x),$$lk(x),$$f^{k}(x),$$fk(x),$$g^{k}(x)$$gk(x)… read more here.
Keywords: number; maximum number; number limit; limit cycles ... See more keywords
The Maximum Number of Zeros of $$r(z) - \overline{z}$$r(z)-z¯ Revisited
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DOI: 10.1007/s40315-017-0231-1
Abstract: Generalizing several previous results in the literature on rational harmonic functions, we derive bounds on the maximum number of zeros of functions $$f(z) = \frac{p(z)}{q(z)} - \overline{z}$$f(z)=p(z)q(z)-z¯, which depend on both $$\mathrm{deg}(p)$$deg(p) and $$\mathrm{deg}(q)$$deg(q). Furthermore,… read more here.
Keywords: maximum number; deg; zeros overline; overline revisited ... See more keywords
Optimizing Operations Sequencing and Demulsifier Injection in Offshore Oil Production Platforms
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DOI: 10.1109/access.2023.3263827
Abstract: Short-term production optimization of oil assets concerns routing decisions and equipment control settings that induce optimal steady-state operations. Typically, the decisions are made on the scale of hours to days with the aim of maximizing… read more here.
Keywords: injection; oil; production; maximum number ... See more keywords
Upper and Lower Bounds for the Maximum Number of Frequencies That Can Be Generated by a Class of Fractional Oscillators
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DOI: 10.1109/tcsi.2018.2884614
Abstract: This paper deals with investigating the maximum number of frequencies generated by an oscillator in the case that a half number of integrators in the conventional dynamic structure of this oscillator are replaced by fractional… read more here.
Keywords: number; number frequencies; frequencies generated; maximum number ... See more keywords