Real-Formal Orbital Rigidity for Germs of Real Analytic Vector Fields on the Real Plane

Author:

Jaurez-Rosas Jessica Angélica

Publisher

Springer Science and Business Media LLC

Subject

Control and Optimization,Numerical Analysis,Algebra and Number Theory,Control and Systems Engineering

Reference37 articles.

1. Arnold VI, Gusein-Zade SM, Varchenko AN. Singularities of differentiable maps, vol I. The classification of critical points, caustics and wave fronts. Boston: Birkhäuser Boston Inc.; 1985.

2. Arnold VI. Geometrical Methods in the theory of ordinary differential equations. New York: Springer; 1983.

3. Bogdanov RI. Local orbital normal forms of vector fields on the plane. (Russian) Trudy Sem Petrovsk 1979;5:51–84.

4. Brjuno AD. Analytic form of differential equations, I, II. (Russian) Trudy Moskov Mat Obshch 1971;25:119–262. 1972;26:199-239. English translation: Trans. Moscow Math. Soc. 1971;25:119-262. 1972;26:199–239.

5. Cerveau D, Moussu R. Groups d’automorphismes de ( ℂ , 0 ) $(\mathbb {C}, 0)$ et équations différentielles y d y+…=0. (French) Bull Soc Math France 1988;116:459–488.

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