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Dynamic growth estimates of maximum vorticity for 3D incompressible Euler equations and the SQG model
Sharp upperbounds for the number of large amplitude limit cycles in polynomial Lienard systems
1. | Hasselt University, Campus Diepenbeek, Agoralaan gebouw D, B-3590 Diepenbeek |
References:
[1] |
M. Caubergh and F. Dumortier, Hilbert's 16th problem for classical Liénard equations of even degree, Journal of Differential Equations, 244 (2008), 1359-1394.
doi: 10.1016/j.jde.2007.11.011. |
[2] |
M. Caubergh, F. Dumortier and S. Luca, Cyclicity of unbounded semi-hyperbolic 2-saddle cycles in polynomial Liénard equations, Discrete and Continuous Dynamical Systems, 27 (2010), 963-980. |
[3] |
F. Dumortier, Compactification and desingularisation of spaces of polynomial Liénard equations, Journal of Differential Equations, 224 (2006), 296-313.
doi: 10.1016/j.jde.2005.08.011. |
[4] |
F. Dumortier and C. Herssens, Polynomial Liénard equations near infinity, Journal of Differential Equations, 153 (1999), 1-29.
doi: 10.1006/jdeq.1998.3543. |
show all references
References:
[1] |
M. Caubergh and F. Dumortier, Hilbert's 16th problem for classical Liénard equations of even degree, Journal of Differential Equations, 244 (2008), 1359-1394.
doi: 10.1016/j.jde.2007.11.011. |
[2] |
M. Caubergh, F. Dumortier and S. Luca, Cyclicity of unbounded semi-hyperbolic 2-saddle cycles in polynomial Liénard equations, Discrete and Continuous Dynamical Systems, 27 (2010), 963-980. |
[3] |
F. Dumortier, Compactification and desingularisation of spaces of polynomial Liénard equations, Journal of Differential Equations, 224 (2006), 296-313.
doi: 10.1016/j.jde.2005.08.011. |
[4] |
F. Dumortier and C. Herssens, Polynomial Liénard equations near infinity, Journal of Differential Equations, 153 (1999), 1-29.
doi: 10.1006/jdeq.1998.3543. |
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