MONODROMY AND STABILITY FOR NILPOTENT CRITICAL POINTS
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Publication:5702215
DOI10.1142/S0218127405012740zbMath1088.34021MaRDI QIDQ5702215
Armengol Gasull, Maria Jesus Alvarez
Publication date: 1 November 2005
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Dynamics induced by flows and semiflows (37C10)
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Cites Work
- Principal term of the monodromy transformation of a monodromic singular point is linear
- An explicit expression of the first Lyapunov and period constants with applications
- Monodromy and stability of a class of degenerate planar critical points
- The center-focus problem for a system with homogeneous nonlinearities in the case of zero eigenvalues of the linear part
- A new algorithm for the computation of the Lyapunov constants for some degenerated critical points.
- Stability of motion
- Non-autonomous equations related to polynomial two-dimensional systems
- ON THE CENTER PROBLEM FOR DEGENERATE SINGULAR POINTS OF PLANAR VECTOR FIELDS
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