A direct method for calculating Lyapunov quantities of two-dimensional dynamical systems

DOI10.1134/S008154381102009XzbMath1230.34031OpenAlexW1970207712WikidataQ109649641 ScholiaQ109649641MaRDI QIDQ643812

Gennady Alekseevich Leonov, Elena V. Kudryashova, Nikolay V. Kuznetsov

Publication date: 2 November 2011

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s008154381102009x

zbMATH Keywords

limit cyclesymbolic computationsLyapunov quantities

Mathematics Subject Classification ID

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

Related Items (7)

Visualization of four normal size limit cycles in two-dimensional polynomial quadratic system ⋮ Lyapunov quantities in the problem about local bifurcations of non-autonomous periodic dynamical systems ⋮ Theory of hidden oscillations and stability of control systems ⋮ 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

Cites Work

• Computation of focus values with applications
• On some open problems in planar differential systems and Hilbert's 16th problem
• HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
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