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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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A theory of average growth rate indices [PDF]
Mathematical Social Sciences, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexander Alexeev, Mikhail Sokolov
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On Hamiltonian Averaging Theories and Resonance [PDF]
International Astronomical Union Colloquium, 1997 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]
Discrete & Continuous Dynamical Systems - A, 2007 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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Randomness in nuclei and in the quark-gluon plasma [PDF]
, 2002 The issue of averaging randomness is addressed, mostly in nuclear physics, but shortly also in QCD. The Feshbach approach, so successful in dealing with the continuum spectrum of the atomic nuclei ("optical model"), is extended to encompass bound states ...
De Pace, A., Molinari, A.
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Random path averaging in multiple-scattering theory [PDF]
Physical Review B, 1997 11 pages ...
Podolsky, V. S., Lisyansky, A. A.
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System Reliability Analysis Based On Weibull Distribution and Hesitant Fuzzy Set [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2018 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]
Physical Review Letters, 2013 4 pages, 4 ...
Baer, Roi +2 more
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Diagrammatic method of integration over the unitary group, with applications to quantum transport in mesoscopic systems [PDF]
, 1996 A diagrammatic method is presented for averaging over the circular ensemble of random-matrix theory. The method is applied to phase-coherent conduction through a chaotic cavity (a ``quantum dot'') and through the interface between a normal metal and a ...
Al’tshuler B. L. +9 more
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Journal of Innovative Applied Mathematics and Computational Sciences, 2023 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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