Quadratic Differential Systems with a Finite Saddle-Node and an Infinite Saddle-Node (1, 1)SN - (B)

DOI10.1142/S0218127421300263zbMath1472.34056OpenAlexW4205788817MaRDI QIDQ5008963

Alex Rezende, Marcos C. Mota, Joan C. Artés

Publication date: 18 August 2021

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127421300263

zbMATH Keywords

bifurcation diagramquadratic differential systemphase portraitalgebraic invariantfinite saddle-nodeinfinite saddle-nodefinite elemental singularity

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23)

Related Items (1)

Structurally unstable quadratic vector fields of codimension two: families possessing one finite saddle-node and a separatrix connection

Cites Work

• Characterization of the finite weak singularities of quadratic systems via invariant theory
• Phase portraits for quadratic systems with a higher order singularity with two zero eigenvalues
• Non-existence of limit cycle around a weak focus of order three for any quadratic system
• Hilbert's 16th problem for quadratic vector fields
• Global topological configurations of singularities for the whole family of quadratic differential systems
• Planar quadratic vector fields with invariant lines of total multiplicity at least five
• Geometry of quadratic differential systems in the neighborhood of infinity
• Qualitative theory of planar differential systems
• A survey of quadratic systems
• GLOBAL PHASE PORTRAITS OF QUADRATIC POLYNOMIAL DIFFERENTIAL SYSTEMS WITH A SEMI-ELEMENTAL TRIPLE NODE
• The Geometry of Quadratic Polynomial Differential Systems with a Finite and an Infinite Saddle-Node (A, B)
• SINGULAR POINTS OF QUADRATIC SYSTEMS: A COMPLETE CLASSIFICATION IN THE COEFFICIENT SPACE ℝ¹²
• Structurally stable quadratic vector fields
• Structurally Unstable Quadratic Vector Fields of Codimension One
• The Geometry of Quadratic Polynomial Differential Systems with a Finite and an Infinite Saddle-Node (C)
• THE GEOMETRY OF QUADRATIC DIFFERENTIAL SYSTEMS WITH A WEAK FOCUS OF SECOND ORDER
• Quadratic Differential Systems with a Finite Saddle-Node and an Infinite Saddle-Node (1,1)SN - (A)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Quadratic Differential Systems with a Finite Saddle-Node and an Infinite Saddle-Node (1, 1)SN - (B)