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Impact of zearalenone on quorum sensing signaling molecules and its association with the suppression of ruminal microbial fermentation in a RUSITEC system. [PDF]
Wang Z +8 more
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Nonlinear stability and vibration of flexible spacecraft solar arrays under thermally induced flutter during the penumbra phase. [PDF]
Motaharifard O +2 more
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Krylov subspace approximation for quadratic-bilinear differential system
International Journal of Systems Science, 2018AbstractMany nonlinear systems with nonlinearities of the form 1/(k+x), ex, xα, ln(x) can be converted into quadratic-bilinear differential algebraic equations (QBDAEs) by introducing new variables and operating some algebra computations. Previous researches claim that the first two generalised transfer functions are enough to capture the dynamical ...
Jun-Man Yang, Yao-Lin Jiang
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On Linear-Quadratic Differential Games for Fractional-Order Systems
Doklady Mathematics, 2023Summary: We consider a finite-horizon two-person zero-sum differential game in which the system dynamics is described by a linear differential equation with a Caputo fractional derivative and the goals of control of the players are, respectively, to minimize and maximize a quadratic terminal-integral cost function.
Gomoyunov, M. I., Lukoyanov, N. Yu.
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Survey of results on quadratic differential systems
2021Quadratic differential systems occur often in many areas of applied mathematics, in population dynamics [145], nonlinear mechanics [236, 237, 69], chemistry, electrical circuits, neural networks, laser physics, hydrodynamics [347, 328, 183, 191], astrophysics [80] and others [280, 154, 102].
Joan C. Artés +3 more
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Blow-up solutions of quadratic differential systems
Journal of Mathematical Sciences, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Baris, J., Baris, P., Ruchlewicz, B.
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Two Dimensional Homogeneous Quadratic Differential Systems
SIAM Review, 1978The two-dimensional quadratic differential system (QDS) \[ \begin{gathered} \dot x = a_1 x^2 + b_1 xy + c_1 y^2 , \hfill \\ \dot y = a_2 x^2 + b_2 xy + c_2 y^2 \hfill \\ \end{gathered} \] where $( \cdot ) = {d} / {dt}$ and the coefficients are real constants is considered.
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Bifurcation Analysis in Planar Quadratic Differential Systems with Boundary
International Journal of Bifurcation and Chaos, 2020Given a planar quadratic differential system delimited by a straight line, we are interested in studying the bifurcation phenomena that can arise when the position on the boundary of two tangency points are considered as parameters of bifurcation. First, under generic conditions, we find a two-parametric family of quadratic differential systems with ...
Jocelyn A. Castro, Fernando Verduzco
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