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Bifurcating limit cycles in quadratic polynomial differential systems
Physica A: Statistical Mechanics and its Applications, 2000Abstract We conducted a study on the plane quadratic polynomial differential systems with two or three parameters. Bifurcation curves were drawn in the cross-section of parameter space, dividing the section into several regions. Different number of limit cycles can be identified in different regions. Diagrams of variation of amplitude of limit cycles
H.S.Y. Chan, K.W. Chung, Dongwen Qi
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SOME BIFURCATION DIAGRAMS FOR LIMIT CYCLES OF QUADRATIC DIFFERENTIAL SYSTEMS
International Journal of Bifurcation and Chaos, 2001Concrete numerical examples of quadratic differential systems having three limit cycles surrounding one singular point are shown. In case another finite singular point also exists, a (3, 1) distribution of limit cycles is also obtained. This is the highest number of limit cycles known to occur in a quadratic differential system so far.
Chan, H. S. Y. +2 more
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On quadratic differential systems with equal reflecting functions
Differential Equations, 2013For a two-dimensional quadratic system, we obtain necessary conditions for the existence of a triangular quadratic system with the same Mironenko reflecting function as the original system. We suggest an algorithm that permits establishing the coincidence of the reflecting functions of a quadratic nonstationary system and some stationary system.
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Systems of quadratic exterior differential equations
Siberian Mathematical Journal, 1971Vasenin, V. V., Shcherbakov, R. N.
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On Stability Cones for Quadratic Systems of Differential Equations
Journal of Dynamical and Control Systems, 2005New sufficient conditions of conditional stability of the trivial solution of a system of quadratic ordinary differential equations are obtained. For the homogeneous system the domain of unlocal stability is also found (it is a cone). This domain is then used for design of piecewise linear (discontinuous) control laws on output for a bilinear control ...
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Temporal walk-off induced dissipative quadratic solitons
Nature Photonics, 2022Arkadev Roy, Rajveer Nehra, Saman Jahani
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Quadratic Autoencoder (Q-AE) for Low-Dose CT Denoising
IEEE Transactions on Medical Imaging, 2020Fenglei Fan +2 more
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Common Method Bias in Regression Models With Linear, Quadratic, and Interaction Effects
Organizational Research Methods, 2010Enno Siemsen +2 more
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