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New results on averaging theory and applications [PDF]
Zeitschrift für angewandte Mathematik und Physik, 2016 Agraïments: The first author is supported by CNPq 248501/2013-5. CAPES grant 88881.030454 /2013-01 from the Program CSF-PVE The usual averaging theory reduces the computation of some periodic solutions of a system of ordinary differential equations, to find the simple zeros of an associated averaged function. When one of these zeros is not simple, i.e.
Cândido, Murilo R., Llibre, Jaume
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Mathematics, 2021 Power electronic converters are mathematically represented by a system of ordinary differential equations discontinuous right-hand side that does not verify the conditions of the Cauchy-Lipschitz Theorem.
Santolo Meo, Luisa Toscano
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Limit cycles of Liénard polynomial systems type by averaging method
Moroccan Journal of Pure and Applied Analysis, 2020 We apply the averaging theory of first and second order for studying the limit cycles of generalized polynomial Linard systems of the ...
Boulfoul Amel, Mellahi Nawal
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On the limit cycles for a class of eighth-order differential equations
Moroccan Journal of Pure and Applied Analysis, 2020 In this article, we provide sufficient conditions for the existence of periodic solutions of the eighth-order differential equation x(8)-(1+p2+λ2+μ2)x(6)+Ax⃜+Bx¨+p2λ2μ2x=ɛF(t,x,x˙,x¨,x⃛,x⃜,x(5),x(6)x(7)),{x^{\left( 8 \right)}} - \left( {1 + {p^2 ...
Berrehail Chems Eddine +2 more
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On the theory of average case complexity
[1989] Proceedings. Structure in Complexity Theory Fourth Annual Conference, 1992 The paper takes the next step in developing the theory of average case complexity initiated by L . A. Levin. A distributional decision problem is a pair \((D,\mu)\) where \(D\) is the set of strings and \(\mu\) is a (distribution) function from strings to the unit interval \([0,1]\).
Michael Luby +3 more
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Adaptive tracking control of flapping wing micro-air vehicles with averaging theory
CAAI Transactions on Intelligence Technology, 2018 An input constrained adaptive tracking controller is designed for flapping micro aerial vehicles, wherein the moving averaging filter is adopted to estimate the averaged states of the system.
Chen Qian, Yongchun Fang
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Ensemble average theory of gravity [PDF]
Physical Review D, 2016 6 pages, typos corrected, comments are welcome, replaced with published ...
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Zero-Hopf Bifurcations of 3D Quadratic Jerk System
Mathematics, 2020 This paper is devoted to local bifurcations of three-dimensional (3D) quadratic jerk system. First, we start by analysing the saddle-node bifurcation. Then we introduce the concept of canonical system.
Bo Sang, Bo Huang
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The Proximal Average: Basic Theory [PDF]
SIAM Journal on Optimization, 2008 The recently introduced proximal average of two convex functions is a convex function with many useful properties. In this paper, we introduce and systematically study the proximal average for finitely many convex functions. The basic properties of the proximal average with respect to the standard convex-analytical notions (domain, Fenchel conjugate ...
Xianfu Wang +3 more
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A theory of average growth rate indices [PDF]
Mathematical Social Sciences, 2014 Abstract This paper develops an axiomatic theory of an economic variable average growth rate (average rate of change) measurement. The obtained structures generalize the conventional measures for average rate of growth (such as the difference quotient, and the continuously compounded growth rate) to an arbitrary domain of the underlying variable and ...
Mikhail V. Sokolov +2 more
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