Limit cycles of quadratic systems with a perturbed weak focus of order 3 and a saddle equilibrium at infinity

DOI10.1134/S1064562410050042zbMath1227.34032OpenAlexW2097979756WikidataQ109716943 ScholiaQ109716943MaRDI QIDQ630228

Gennady Alekseevich Leonov, Nikolay V. Kuznetsov

Publication date: 17 March 2011

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562410050042

zbMATH Keywords

limit cyclequadratic systemweak focusinfinitysaddle equilibrium

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Related Items (6)

Visualization of four normal size limit cycles in two-dimensional polynomial quadratic system ⋮ Visualization of four limit cycles of two-dimensional quadratic systems in the parameter space ⋮ Hidden oscillations in dynamical systems. 16 Hilbert's problem, Aizerman's and Kalman's conjectures, hidden attractors in Chua's circuits ⋮ Analytical-Numerical Methods for Hidden Attractors’ Localization: The 16th Hilbert Problem, Aizerman and Kalman Conjectures, and Chua Circuits ⋮ Analytical-Numerical Localization of Hidden Attractor in Electrical Chua’s Circuit ⋮ Existence of Perpetual Points in Nonlinear Dynamical Systems and Its Applications

Cites Work

• Limit cycles of the Liénard equation with discontinuous coefficients
• Cycles of two-dimensional systems: computer calculations, proofs, and experiments
• Unnamed Item

This page was built for publication: Limit cycles of quadratic systems with a perturbed weak focus of order 3 and a saddle equilibrium at infinity