Reference change · 10.1007/s12215-024-01046-y

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Higher Order Structure along Nilpotent Eigendirections in Planar Vector Fields

ref [5] · 2608.27780 · notice #10944 · dispute

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Valls, Global nilpotent reversible centers with cubic nonlin- earities symmetric with respect to thex-axis,Results Math.79(2024), no. 4, Paper No. 129, 30 pp. doi: 10.1007/s00025-024-02163-x. [5] M. Corbera and C. Valls, Global nilpotent reversible centers with cubic nonlin- earities symmetric with respect to they-axis,Rend. Circ. Mat. Palermo (2)73 (2024), no. 7, 2383-2398. doi: 10.1007/s12215-024-01046-y. [6] E. Chan-L' opez, The Bogdanov-Takens normal form coefficients inR n as directional derivatives of the characteristic invariants,arXiv preprint arXiv:2608.19018(2026). [7] J. Guckenheimer and P. Holmes,Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Applied Mathematical Sciences, Vol. 42, Springer- Verlag, New York, 1983.

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Valls, Global nilpotent reversible centers with cubic nonlin- earities symmetric with respect to thex-axis,Results Math.79(2024), no. 4, Paper No. 129, 30 pp. doi: 10.1007/s00025-024-02163-x. [5] M. Corbera and C. Valls, Global nilpotent reversible centers with cubic nonlin- earities symmetric with respect to they-axis,Rend. Circ. Mat. Palermo (2)73 (2024), no. 7, 2383-2398. doi: 10.1007/s12215-024-01046-y. [6] E. Chan-L' opez, The Bogdanov-Takens normal form coefficients inR n as directional derivatives of the characteristic invariants,arXiv preprint arXiv:2608.19018(2026). [7] J. Guckenheimer and P. Holmes,Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Applied Mathematical Sciences, Vol. 42, Springer- Verlag, New York, 1983

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