Integrability of Van der Pol–Duffing oscillator system in three‐dimensional vector field

DOI10.1002/MMA.7876zbMath1527.34007OpenAlexW3205232889MaRDI QIDQ6179813

Unnamed Author, Unnamed Author

Publication date: 18 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.7876

zbMATH Keywords

analytic first integralsinvariant algebraic surfacesDarboux first integralsexponential factors3D Van der Pol-Duffing system

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Integrability of dynamical systems: algebra and analysis
• On the non-integrability of the Belousov-Zhabotinskii system
• Computing integrability conditions for a cubic differential system
• Multiplicity of invariant algebraic curves in polynomial vector fields
• Darboux theory of integrability for polynomial vector fields in taking into account the multiplicity at infinity
• On the Darboux integrability of polynomial differential systems
• Integrability of the Rucklidge system
• Invariant algebraic surfaces of the Belousov-Zhabotinskii systems
• Adaptive synchronization of two chaotic systems consisting of modified Van der Pol--Duffing and Chua oscillators
• Invariant algebraic curves and conditions for a centre
• Local first integrals for systems of differential equations
• POLYNOMIAL FIRST INTEGRALS FOR THE CHEN AND LÜ SYSTEMS
• On the Global Analytic Integrability of the Belousov–Zhabotinskii System

This page was built for publication: Integrability of Van der Pol–Duffing oscillator system in three‐dimensional vector field