Linearization of polynomial flows and spectra of derivations

DOI10.1007/BF01049488zbMath0728.34001MaRDI QIDQ804775

Victor Zurkowski, Brian A. Coomes

Publication date: 1991

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

zbMATH Keywords

dynamicsinitial value problempolynomial flowp-f vector fieldpoint spectra of derivations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Dynamics induced by flows and semiflows (37C10) Differential algebra (12H05) Ordinary differential equations in the complex domain (34M99) Modules of differentials (13N05)

Related Items (3)

Centralizers of locally nilpotent derivations ⋮ Jacobian pairs and Hamiltonian flows ⋮ Remarks on vector fields with simply connected trajectories and their associated derivations

Cites Work

• The Lorenz system does not have a polynomial flow
• Jacobian problems in differential equations and algebraic geometry
• Polynomial flows in the plane
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• The Lorenz equations: bifurcations, chaos, and strange attractors
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• Polynomial Flows on ℂ n
• Deterministic Nonperiodic Flow
• Global asymptotic stability for plane polynomial flows
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