Results 11 to 20 of about 3,595 (212)
Qualitative Theory of Dynamical Systems, 2020 Using the Euler-Jacobi formula we obtain an algebraic relation between the singular points of a polynomial vector field and their topological indices. Using this formula we obtain the configuration of the singular points together with their topological indices for the planar cubic polynomial differential systems when these systems have nine finite ...
Jaume Llibre, Claudia Valls
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Journal of Differential Equations, 2009 Consider the system \[ \dot z=(\lambda+i)z+ (z\overline z)^{(d-3)/2}(Az^3+Bz^2\overline z+Cz\overline z^2+D \overline z^3),\tag{1} \] where \(z=x+ iy\), \(A,B,C,D\) are complex numbers, \(d\geq 3\) is an arbitrary odd integer. Theorem 1. System (1) has a center at the origin if and only if one of the following conditions holds: (c.1) \(\lambda=b_1=3A ...
Llibre, Jaume, Valls, Clàudia
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Limit cycles of cubic polynomial differential systems with rational first integrals of degree 2 [PDF]
Applied Mathematics and Computation, 2015 Agraïments: FEDER-UNAB-10-4E-378, and a CAPES Grant No. 88881. 030454/2013-01 from the program CSF-PVE. The second authors is partially supported by the project CAPES Grant No. 88881.030454/2013-01 from the program CSF-PVE and CNPq grant "Projeto Universal 472796/2013-5". The second author is supported by CAPES/GDU - 7500/13-0.
Llibre, Jaume +2 more
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Research on nonlinear model and fuzzy fractional order PID control of air suspension system
Journal of Low Frequency Noise, Vibration and Active Control, 2022 To improve the ride comfort of wheeled armored vehicles, air springs are used. To describe the vehicle motion more accurately, a nine-degree-of-freedom air suspension system for the whole vehicle was established, and its equations of motion were derived.
Jingyue Wang +4 more
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Case Studies in Thermal Engineering, 2023 In this paper, an extensive analysis of heat and mass transfer characteristics of a Casson fluid flow past a cylinder in a wavy channel has been performed.
Afraz Hussain Majeed +7 more
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Bulking of physically nonlinear plates under the action of dynamic shearing loads
Structural Mechanics of Engineering Constructions and Buildings, 2022 The study of the stability of plates under shear under the action of dynamic loads is one of the important problems of structural mechanics. The plates are widely used in construction, mechanical engineering, shipbuilding and aircraft building. The paper
Sergey P. Ivanov
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Cubic Spline Solution of linear fourteenth order boundary value problems
Ceylon Journal of Science, 2018 As higher order differential equations have constantly been tiresome and problematic to resolve for the mathematicians and engineers so diverse numerical procedures were conceded out to acquire numerical estimates to such problems.
Aasma Khalid A., M. Nawaz Naeem
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Linear-Range Extension for Linear Variable Differential Transformer Using Hyperbolic Sine Function
Sensors, 2022 In this paper, a circuit technique to extend the measuring range of a linear variable differential transformer (LVDT) is proposed. The transfer characteristic of the LVDT contains the odd function form of the cubic polynomial.
Apinai Rerkratn +3 more
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Analytic integrability of cubic–linear planar polynomial differential systems
Journal of Differential Equations, 2016 The first author is partially supported by the MINECO/FEDER grant number MTM2014- 53703-P and the AGAUR (Generalitat de Catalunya) grant number 2014SGR 1204.
Giné, Jaume, Valls, Claudia
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Retrieval of Optical Solitons with Anti-Cubic Nonlinearity
Mathematics, 2023 Purpose: In this article, two main subjects are discussed. First, the nonlinear Schrödinger equation (NLSE) with an anti-cubic (AC) nonlinearity equation is examined, which has a great working area, importance and popularity among the study areas of ...
Muslum Ozisik +9 more
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