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On the Limit Cycles of a Class of Generalized Kukles Polynomial Differential Systems via Averaging Theory [PDF]
International Journal of Differential Equations, 2015 We apply the averaging theory of first and second order to a class of generalized Kukles polynomial differential systems to study the maximum number of limit cycles of these systems.
Amar Makhlouf, Amor Menaceur
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On averaging dynamics in general state spaces [PDF]
2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012 In this paper, we present a framework for studying distributed averaging dynamics over general state spaces. We define several modes of ergodicity and consensus for such dynamics and show that, unlike for a finite dimensional space, these modes are not equivalent.
Behrouz Touri +2 more
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Generalized replica manifolds. Part I. Surgery and averaging
Journal of High Energy PhysicsWe develop a simple framework for implementing a type of path integral “surgery” through a correlated averaging over codimension-one defects/extended operators.
Mohamed Hany Radwan
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General Discounting Versus Average Reward [PDF]
, 2006 Consider an agent interacting with an environment in cycles. In every interaction cycle the agent is rewarded for its performance. We compare the average reward U from cycle 1 to m (average value) with the future discounted reward V from cycle k to infinity (discounted value).
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Averaged Similarities Generable by Single Attributes
, 2015 In a theoretical setting, the Representation Theorem is used to generate T-indistinguishability operators (fuzzy similarity relations) from a given set of fuzzy criteria. In applied domains, though, other ways of generation are often used which involve quasi-arithmetic means.
Boixader Ibáñez, Dionís +1 more
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The general relationship between average effect and average excess
Genetical Research, 1987 SummaryThe average effect and average excess both measure the phenotypic effects of gametes in a population. A matrix notation is introduced that provides a general analytical solution for the average effects at a single locus with k alleles that can be solved for any population regardless of its genotype frequencies.
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Oscillation of fractional order functional differential equations with nonlinear damping
Open Physics, 2015 In this paper, we are concerned with the oscillatory behavior of a class of fractional differential equations with functional terms. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative.
Bayram Mustafa +2 more
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Characterizations for S-Convex-Averaging Domains via Two-Dimensional Diffusion-Wave Equations
MathematicsIn this paper, we introduce the concept of s-convex-averaging domains, which are extensions of circular and irregular convex domains, by using s-convex functions and generalized Orlicz norms. Based on the quasi-hyperbolic metric and Lp-averaging domains,
Jianwei Wang, Nan Jiang, Ming Liu
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Oscillatory Criteria for Higher Order Functional Differential Equations with Damping
Journal of Function Spaces and Applications, 2013 We investigate a class of higher order functional differential equations with damping. By using a generalized Riccati transformation and integral averaging technique, some oscillation criteria for the differential equations are established.
Peiguang Wang, Hai Cai
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, 2023 AbstractThe present essay focuses on the Byzantine sources on General Average and is a contribution on the evolution of the laws of General Average (GA). The GA principle has its roots in very ancient times. In Justinian’s Digest (sixth century AD), we find fragments of Roman jurists discussing Average rules from the so-called Rhodian law of jettison ...
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