Results 81 to 90 of about 3,885 (102)
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, 2021
Since the non-commutativity and particular structure of the quaternion algebra, the quternion difference equations (short for QDCEs) have a large difference from the classical theory of difference equations.
Chao Wang, Desu Chen, Zhien Li
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Since the non-commutativity and particular structure of the quaternion algebra, the quternion difference equations (short for QDCEs) have a large difference from the classical theory of difference equations.
Chao Wang, Desu Chen, Zhien Li
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A Chebyshev criterion for at most two non-zero limit cycles in Abel equations
NonlinearityIn this paper, we investigate the maximum number of limit cycles of the reduced Abel equation x˙=A(t)x3+B(t)x2 on an interval [0,T]. The Smale–Pugh problem asks whether this maximum number is bounded in terms of a given class of coefficients.
Jianfeng Huang, Renhao Tian, Yulin Zhao
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The trigonometric polynomial on sums of two squares, an additive problem and generalization
Transactions of the American Mathematical SocietyLet B \mathfrak {B}
O. Ramaré, G. Viswanadham
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Advanced Nonlinear Studies
This paper studies the number of limit cycles, known as the Smale-Pugh problem, for the generalized Abel equation d x d θ = A ( θ ) x p + B ( θ ) x q , $$\frac{\mathrm{d}x}{\mathrm{d}\theta }=A\left(\theta \right){x}^{p}+B\left(\theta \right){x}^{q ...
Haihua Liang, Jianfeng Huang
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This paper studies the number of limit cycles, known as the Smale-Pugh problem, for the generalized Abel equation d x d θ = A ( θ ) x p + B ( θ ) x q , $$\frac{\mathrm{d}x}{\mathrm{d}\theta }=A\left(\theta \right){x}^{p}+B\left(\theta \right){x}^{q ...
Haihua Liang, Jianfeng Huang
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Trigonometric polynomial solutions of Bernouilli trigonometric polynomial differential equations
Analysis and Mathematical Physics, 2022C. Valls
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Characterization of the Existence of Non-trivial Limit Cycles for Generalized Abel Equations
Qualitative Theory of Dynamical Systems, 2021M. Álvarez +3 more
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Centers for Trigonometric Abel Equations
, 2012A. Cima, A. Gasull, F. Mañosas
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Generalized centre conditions and multiplicities for polynomial Abel equations of small degrees
, 1999M. Blinov, Y. Yomdin
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Une approche au problme du centre-foyer de Poincar
, 1998Miriam Briskin, J. Françoise, Y. Yomdin
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