On meromorphic complex differential equations

DOI10.1080/02681119408806171zbMath0813.34005OpenAlexW1997873036MaRDI QIDQ4306566

David John Needham, A. C. King

Publication date: 28 May 1995

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02681119408806171

zbMATH Keywords

centre theoremfirst-order complex differential equationsfirst-order complex meromorphic systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Ordinary differential equations in the complex domain (34M99)

Related Items (13)

Piecewise holomorphic systems ⋮ On the separatrix graph of a rational vector field on the Riemann sphere ⋮ Complex flows, escape to infinity and a question of Rubel ⋮ Dynamics of singular complex analytic vector fields with essential singularities I ⋮ Global phase portrait and local integrability of holomorphic systems ⋮ Trajectories escaping to infinity in finite time ⋮ Linear first order differential operators and their Hutchinson invariant sets ⋮ Gradient systems of harmonic polynomials ⋮ A characterization of multiplicity-preserving global bifurcations of complex polynomial vector fields ⋮ A new bifurcation in non-smooth continuous system inducing semi-limit cycle ⋮ Classification of complex polynomial vector fields in one complex variable ⋮ On the period function for a family of complex differential equations ⋮ Configurations of critical points in complex polynomial differential equations

Cites Work

• Unnamed Item
• Vector fields defined by complex functions
• Conformal equivalence of analytic flows
• The Dynamics of a Ball Rolling on a Rotating Plane

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