Evaluation of the first five Lyapunov exponents for the Liénard system

DOI10.1134/S1028335809030070zbMath1180.34029OpenAlexW2015965795MaRDI QIDQ735742

O. A. Kuznetsova, Gennady Alekseevich Leonov

Publication date: 23 October 2009

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

Full work available at URL: https://doi.org/10.1134/s1028335809030070

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20)

Related Items (3)

Lyapunov quantities and limit cycles of two-dimensional dynamical systems. Analytical methods and symbolic computation ⋮ 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

Cites Work

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• Computation of focus values with applications
• HILBERT'S 16TH PROBLEM FOR QUADRATIC SYSTEMS: NEW METHODS BASED ON A TRANSFORMATION TO THE LIENARD EQUATION
• HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS

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