Results 21 to 30 of about 86,067 (310)
A theory of average growth rate indices [PDF]
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Alexander Alexeev, Mikhail Sokolov
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On Hamiltonian Averaging Theories and Resonance [PDF]
AbstractIn this article, we review the construction of Hamiltonian perturbation theories with emphasis on Hori’s theory and its extension to the case of dynamical systems with several degrees of freedom and one resonant critical angle. The essential modification is the comparison of the series terms according to the degree of homogeneity in both and a
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3-dimensional Hopf bifurcation via averaging theory [PDF]
We consider the Lorenz system $\dot x = \s (y-x)$, $\dot y =rx -y-xz$ and $\dot z = -bz + xy$; and the Rossler system $\dot x = -(y+z)$, $\dot y = x +ay$ and $\dot z = b-cz + xz$. Here, we study the Hopf bifurcation which takes place at $q_{\pm}=(\pm\sqrt{br-b},\pm\sqrt{br-b},r-1),$ in the Lorenz case, and at $s_{\pm}=(\frac{c+\sqrt{c^2-4ab}}{2},-
Llibre, Jaume +2 more
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Zero-Hopf Bifurcations of 3D Quadratic Jerk System
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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System Reliability Analysis Based On Weibull Distribution and Hesitant Fuzzy Set [PDF]
This work deals with the hesitant fuzzy number and averaging operator and fuzzy reliability with the help of Weibull lifetime distribution. Fuzzy reliability function and triangular hesitant fuzzy number also computed with α-cut set of the proposed ...
Akshay Kumar, Mangey Ram
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Self-Averaging Stochastic Kohn-Sham Density-Functional Theory [PDF]
4 pages, 4 ...
Baer, Roi +2 more
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In this paper, we will study the maximum number of limit cycles of a perturbed differential system with respect to its parameters which appear in the system specially on the degree of the polynomials.
Sana Karfes, Elbahi Hadidi
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Existence and stability of limit cycles in a perturbed seventh-order differential equation
This paper investigates the existence and stability of limit cycles in a class of perturbed seventh-order non-autonomous differential equations that model multi-frequency oscillatory behavior with damping, commonly encountered in mechanical and control ...
Meriem Ladjimi
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The idea of bipolar complex fuzzy (BCF) sets, as a genuine modification of both bipolar fuzzy sets and complex fuzzy sets, gives a massive valuable framework for representing and evaluating ambiguous information.
Tahir Mahmood +4 more
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Limit cycles for a class of polynomial differential systems
In this paper, we consider the limit cycles of a class of polynomial differential systems of the form $\dot{x}=-y^{2p-1},\ \dot{y}=x^{2mp-1}+\varepsilon(px^{2mp}+qy^{2p})(g(x,y)-A)$, where $g(x,y)$ is a polynomial.
Jianyuan Qiao, Shuliang Shui
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