scientific article; zbMATH DE number 7243706

zbMath1458.34070MaRDI QIDQ5119426

Najmeh Khajoei, Mohammad Reza Molaei

Publication date: 4 September 2020

Full work available at URL: http://www.mathem.pub.ro/dgds/v22/D22-kh-ZDH53.pdf

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zbMATH Keywords

invariant setsDarboux theory of integrabilityDarboux invariantnonchaotic differential systems

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05) Invariant manifolds for ordinary differential equations (34C45)

Cites Work

• Unnamed Item
• Darboux invariants for planar polynomial differential systems having an invariant conic
• Qualitative theory of planar differential systems
• Bounded Polynomial Vector Fields
• Darboux integrability and invariant algebraic curves for planar polynomial systems
• Normal forms and global phase portraits of quadratic and cubic integrable vector fields having two nonconcentric circles as invariant algebraic curves
• Nonchaotic Behavior in Quadratic Three-Dimensional Differential Systems with a Symmetric Jacobian Matrix
• Normal Forms for Polynomial Differential Systems in ℝ³ Having an Invariant Quadric and a Darboux Invariant

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