15 research outputs found
New advances on the Lyapunov constants of some families of planar differential systems
Get PDFThis note presents some advances regarding the Lyapunov constants of some families of planar polynomial differential systems, as a first step toward the resolution of the center and cyclicity problems. First, a parallelization approach is computationally implemented to achieve the 14th Lyapunov constant of the complete cubic family. Second, a technique based on interpolating some specific quantities so as to reconstruct the structure of the Lyapunov constants is used to study a Kukles system, some fifth-degree homogeneous systems, and a quartic system with two invariant lines
Local Integrability and Linearizability of a ( 1 : - 1 : - 1 ) Resonant Quadratic System
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Integrability conditions of a resonant saddle perturbed with homogeneous quintic nonlinearities
No full textGroebner Basis Methods for Stationary Solutions of a Low-Dimensional Model for a Shear Flow
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Integrability and linearizability for Lotka-Volterra systems with the 3 : − q resonant saddle point
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