Singularities of 3D vector fields preserving the Martinet form

DOI10.1134/S0040577924070018zbMATH Open1548.37066MaRDI QIDQ6632245

Stavros Anastassiou

Publication date: 4 November 2024

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

singularitiesbifurcationsvector fieldsMartinet 1-form

Mathematics Subject Classification ID

Normal forms for dynamical systems (37G05) Bifurcations of singular points in dynamical systems (37G10) Singularities of vector fields, topological aspects (58K45)

Cites Work

• Cohomology equations near hyperbolic points and geometric versions of Sternberg linearization theorem
• \(C^\infty\)-normal forms of local vector fields
• On the universal unfolding of vector fields in one variable: a proof of Kostov's theorem
• Singularities of functions on the Martinet plane, constrained Hamiltonian systems and singular Lagrangians
• Dynamical systems on the Liouville plane and the related strictly contact systems
• Local diffeomorphisms in symplectic space and Hamiltonian systems with constraints
• Nilpotent normal form for divergence-free vector fields and volume-preserving maps
• Sur les singularités des formes différentielles
• VERSAL DEFORMATIONS OF DIFFERENTIAL FORMS OF REAL DEGREE ON THE REAL LINE
• LOCAL CLASSIFICATION OF NON-LINEAR FIRST ORDER PARTIAL DIFFERENTIAL EQUATIONS
• ON SUFFICIENT ORBITS OF A GROUP OF CONTACT DIFFEOMORPHISMS
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