Planar integrable nonlinear oscillators having a stable limit cycle

DOI10.11948/20210504MaRDI QIDQ6577729

Maoan Han, Li Jibin

Publication date: 24 July 2024

Published in: Journal of Applied Analysis and Computation (Search for Journal in Brave)

zbMATH Keywords

exact solutionlimit cycleintegrable planar polynomial systemnonlinear oscillatory type equation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Hyperbolicity, Lyapunov functions for infinite-dimensional dissipative dynamical systems (37L45) Traveling wave solutions (35C07)

Cites Work

• A Simple Non-Linear Oscillation
• A simple and unified approach to identify integrable nonlinear oscillators and systems
• HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS

Related Items (2)

Bifurcations of twisted fine heteroclinic loop for high-dimensional systems ⋮ An exactly solvable planar differential system of degree six with an explicit algebraic limit cycle

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