Douglas S. Shafer

Affiliations: 
Applied Mathematics (PhD) University of North Carolina, Charlotte, Charlotte, NC, United States 
Area:
Applied Mathematics
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"Douglas Shafer"
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Publications

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García IA, Maza S, Shafer DS. (2019) Center cyclicity of Lorenz, Chen and Lü systems Nonlinear Analysis-Theory Methods & Applications. 188: 362-376
García IA, Maza S, Shafer DS. (2018) Cyclicity of polynomial nondegenerate centers on center manifolds Journal of Differential Equations. 265: 5767-5808
García IA, Shafer DS. (2016) Cyclicity of a class of polynomial nilpotent center singularities Discrete and Continuous Dynamical Systems- Series A. 36: 2497-2520
Romanovski VG, Shafer DS. (2016) Complete integrability and time-reversibility of some 3-dim systems Applied Mathematics Letters. 51: 27-33
Ferčec B, Levandovskyy V, Romanovski VG, et al. (2015) Bifurcation of critical periods of polynomial systems Journal of Differential Equations. 259: 3825-3853
Mahdi A, Romanovski VG, Shafer DS. (2013) Stability and periodic oscillations in the Moon-Rand systems Nonlinear Analysis: Real World Applications. 14: 294-313
García IA, Maza S, Shafer DS. (2013) Properties of Monodromic Points on Center Manifolds in ℝ3 via Lie Symmetries Journal of Dynamics and Differential Equations. 25: 981-1000
Edneral VF, Mahdi A, Romanovski VG, et al. (2012) The center problem on a center manifold in ℝ 3 Nonlinear Analysis, Theory, Methods and Applications. 75: 2614-2622
Shafer DS. (2012) Symbolic computation and the cyclicity problem for singularities Journal of Symbolic Computation. 47: 1140-1153
Chen X, Giné J, Romanovski VG, et al. (2012) The 1: -q resonant center problem for certain cubic Lotka-Volterra systems Applied Mathematics and Computation. 218: 11620-11633
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