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Bifurcating limit cycles in quadratic polynomial differential systems

Physica A: Statistical Mechanics and its Applications, 2000
Abstract 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, 2001
Concrete 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, 2013
For 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, 1971
Vasenin, V. V., Shcherbakov, R. N.
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On Stability Cones for Quadratic Systems of Differential Equations

Journal of Dynamical and Control Systems, 2005
New 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, 2022
Arkadev Roy, Rajveer Nehra, Saman Jahani
exaly  

Quadratic Autoencoder (Q-AE) for Low-Dose CT Denoising

IEEE Transactions on Medical Imaging, 2020
Fenglei Fan   +2 more
exaly  

Common Method Bias in Regression Models With Linear, Quadratic, and Interaction Effects

Organizational Research Methods, 2010
Enno Siemsen   +2 more
exaly  

A yield criterion through coupling of quadratic and non-quadratic functions for anisotropic hardening with non-associated flow rule

International Journal of Plasticity, 2017
Eun-Ho Lee   +2 more
exaly  

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