Results 31 to 40 of about 16,824,350 (311)
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On foliations with rational first integral [PDF]
We use the Kodaira’s classification of relatively minimal elliptic fi- brations to prove that a holomorphic foliation in CP2 with a dicritical compact elliptic curve has rational first integral.
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Vibration of the Liénard Oscillator with Quadratic Damping and Constant Excitation
In this paper, the Liénard oscillator with nonlinear deflection, quadratic damping, and constant excitation is considered. In general, there is no analytic solution for the Liénard equation.
Livija Cveticanin +3 more
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The work proposes a new general nonlinear mathematical model describing the social process of two-level assimilation taking into account quadratic members of self-restriction of population growth of three sides.
Chilachava Temur, Pochkhua George
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Concavity and bounds involving generalized elliptic integral of the first kind
. In the article, we provide a suf fi cient condition for value range of the constant c such that the function x → K a ( √ x ) / log ( c / √ 1 − x ) is strictly concave on ( 0 , 1 ) for a ∈ ( 0 , 1 / 2 ] , which generalize a very recently obtained result ...
Tie-hong Zhao, Miao-Kun Wang, Yuming Chu
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GRB 021125: The first GRB imaged by INTEGRAL [PDF]
4 pages, 5 figures.
Malaguti, G. +14 more
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The Global Dynamics of the Painlevé–Gambier Equations XVIII, XXI, and XXII
In this paper, we describe the global dynamics of the Painlevé–Gambier equations numbered XVIII: x″−(x′)2/(2x)−4x2=0, XXI: x″−3(x′)2/(4x)−3x2, and XXII: x″−3(x′)2/(4x)+1=0.
Jie Li, Jaume Llibre
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Task-First or Context-First? Tool Integration Revisited [PDF]
If software engineering tools are not "properly integrated", they can reduce engineers' productivity. Associating and retrieving information scattered across the tools become unsystematic and inefficient. Our work provides empirical evidence on what is a "poor" and a "proper" tool integration, focusing on practitioners' perspectives.
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On the dynamics of the autonomous Duffing–Holmes oscillator
The autonomous Duffing–Holmes oscillator ẋ = y, ẏ = x – x3 + by – kz, ż = w(y – z), depending on the three parameters b, k, and w, has been studied previously by several authors who showed that for certain parameter values, it exhibits chaotic ...
Érika Diz-Pita +2 more
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Liouvillian first integrals of differential equations [PDF]
Liouvillian functions are functions that are built up from rational functions using exponentiation, integration, and algebraic functions. We show that if a system of differential equations has a generic solution that satisfies a liouvillian relation, that is, there is a liouvillian function of several variables vanishing on the ...
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