Computation of invariant curves and identifying the type of critical point

DOI10.1007/s11424-018-7449-5zbMath1405.93120OpenAlexW2904033440MaRDI QIDQ1757723

Junhai Zhi, Yu-Fu Chen

Publication date: 15 January 2019

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-018-7449-5

zbMATH Keywords

equilibrium pointinvariant curveexponential factorcomplex differential system

Mathematics Subject Classification ID

Transformations (93B17) Control/observation systems governed by ordinary differential equations (93C15)

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Cites Work

• Seeking Darboux polynomials
• Integrability of dynamical systems: algebra and analysis
• Multiplicity of invariant algebraic curves in polynomial vector fields
• Mechanical manipulation for a class of differential systems
• Symmetry in planar dynamical systems
• Darboux theory of integrability in \(\mathbb C^n\) taking into account the multiplicity
• Computation of Darboux polynomials and rational first integrals with bounded degree in polynomial time
• Planar Dynamical Systems
• Elementary First Integrals of Differential Equations
• Liouvillian First Integrals of Differential Equations
• Invariant algebraic curves and conditions for a centre
• Algorithmic Derivation of Centre Conditions
• Vector fields, invariant varieties and linear systems.
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