A new classification of planar homogeneous quadratic systems

DOI10.1007/BF02969384zbMath1081.34036MaRDI QIDQ5947310

Driss Boularas

Publication date: 2001

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear ordinary differential equations and systems (34A34) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamics induced by flows and semiflows (37C10) Actions of groups on commutative rings; invariant theory (13A50)

Related Items (6)

Algebras of general type: rational parametrization and normal forms ⋮ Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems ⋮ Normal forms of planar polynomial differential systems ⋮ Canonical Form Algorithm and Separating Systems for Two-Dimensional Algebras ⋮ Unnamed Item ⋮ Invariant Approach to Existence Problem of Chaos in 3D Autonomous Quadratic Dynamical Systems

Uses Software

• Maple

Cites Work

• Classification and Analysis of two-dimensional real homogeneous quadratic differential equation systems
• Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay
• Invariant theory, old and new
• Algorithms in invariant theory
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