Douglas S. Shafer - Publications

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

28 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2019 García IA, Maza S, Shafer DS. Center cyclicity of Lorenz, Chen and Lü systems Nonlinear Analysis-Theory Methods & Applications. 188: 362-376. DOI: 10.1016/J.Na.2019.06.012  0.317
2018 García IA, Maza S, Shafer DS. Cyclicity of polynomial nondegenerate centers on center manifolds Journal of Differential Equations. 265: 5767-5808. DOI: 10.1016/J.Jde.2018.07.019  0.426
2016 García IA, Shafer DS. Cyclicity of a class of polynomial nilpotent center singularities Discrete and Continuous Dynamical Systems- Series A. 36: 2497-2520. DOI: 10.3934/Dcds.2016.36.2497  0.341
2016 Romanovski VG, Shafer DS. Complete integrability and time-reversibility of some 3-dim systems Applied Mathematics Letters. 51: 27-33. DOI: 10.1016/J.Aml.2015.07.006  0.365
2015 Ferčec B, Levandovskyy V, Romanovski VG, Shafer DS. Bifurcation of critical periods of polynomial systems Journal of Differential Equations. 259: 3825-3853. DOI: 10.1016/J.Jde.2015.05.004  0.38
2013 Mahdi A, Romanovski VG, Shafer DS. Stability and periodic oscillations in the Moon-Rand systems Nonlinear Analysis: Real World Applications. 14: 294-313. DOI: 10.1016/J.Nonrwa.2012.06.005  0.418
2013 García IA, Maza S, Shafer DS. Properties of Monodromic Points on Center Manifolds in ℝ3 via Lie Symmetries Journal of Dynamics and Differential Equations. 25: 981-1000. DOI: 10.1007/S10884-013-9326-1  0.379
2012 Edneral VF, Mahdi A, Romanovski VG, Shafer DS. The center problem on a center manifold in ℝ 3 Nonlinear Analysis, Theory, Methods and Applications. 75: 2614-2622. DOI: 10.1016/J.Na.2011.11.006  0.443
2012 Shafer DS. Symbolic computation and the cyclicity problem for singularities Journal of Symbolic Computation. 47: 1140-1153. DOI: 10.1016/J.Jsc.2011.12.037  0.363
2012 Chen X, Giné J, Romanovski VG, Shafer DS. The 1: -q resonant center problem for certain cubic Lotka-Volterra systems Applied Mathematics and Computation. 218: 11620-11633. DOI: 10.1016/J.Amc.2012.05.045  0.332
2011 Mahdi A, Pessoa C, Shafer DS. Centers on center manifolds in the Lü system Physics Letters, Section a: General, Atomic and Solid State Physics. 375: 3509-3511. DOI: 10.1016/J.Physleta.2011.08.022  0.333
2009 Levandovskyy V, Romanovski VG, Shafer DS. The cyclicity of a cubic system with nonradical Bautin ideal Journal of Differential Equations. 246: 1274-1287. DOI: 10.1016/J.Jde.2008.07.026  0.331
2008 Romanovski VG, Shafer DS. On the Center Problem for $p:-q$ Resonant Polynomial Vector Fields Bulletin of the Belgian Mathematical Society-Simon Stevin. 15: 871-887. DOI: 10.36045/Bbms/1228486413  0.311
2008 Hu Z, Romanovski VG, Shafer DS. 1 : - 3 resonant centers on C2 with homogeneous cubic nonlinearities Computers and Mathematics With Applications. 56: 1927-1940. DOI: 10.1016/J.Camwa.2008.04.009  0.333
2005 García IA, Shafer DS. Integral invariants and limit sets of planar vector fields Journal of Differential Equations. 217: 363-376. DOI: 10.1016/J.Jde.2005.06.022  0.326
2005 Jarque X, Llibre J, Shafer DS. Structural stability of planar polynomial foliations Journal of Dynamics and Differential Equations. 17: 573-587. DOI: 10.1007/S10884-005-5812-4  0.403
2004 Shafer DS. Weak Singularities of Planar Vector Fields Under Weak Perturbation Journal of Dynamics and Differential Equations. 16: 65-90. DOI: 10.1023/B:Jody.0000041281.28941.6E  0.313
2002 Shafer DS, Zegeling A. Vertices of planar curves under the action of linear transformations Journal of Geometry. 73: 148-175. DOI: 10.1007/S00022-002-8589-1  0.314
2002 Shafer DS, Zegeling A. Geometry of cycles in quadratic systems Qualitative Theory of Dynamical Systems. 3: 251-274. DOI: 10.1007/Bf02969340  0.364
2000 Shafer DS, Zegeling A. Any two quadratic cycles can be connected with a smooth arc Comptes Rendus De L'Academie Des Sciences - Series I: Mathematics. 330: 35-40. DOI: 10.1016/S0764-4442(00)88141-0  0.325
1996 Shafer DS, Wu X, Zegeling A. A numerical approach to bifurcations from quadratic centers Journal of Mathematical Analysis and Applications. 202: 90-107. DOI: 10.1006/Jmaa.1996.0304  0.329
1992 Rothe F, Shafer DS. Multiple bifurcation in a predator–prey system with nonmonotonic predator response Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 120: 313-347. DOI: 10.1017/S0308210500032169  0.348
1990 Shafer DS. Structure and stability of gradient polynomial vector fields Journal of the London Mathematical Society. 109-121. DOI: 10.1112/Jlms/S2-41.1.109  0.35
1990 Dumortier F, Shafer DS. Restrictions on the Equivalence Homeomorphism in Stability of Polynomial Vector Fields Journal of the London Mathematical Society-Second Series. 100-108. DOI: 10.1112/Jlms/S2-41.1.100  0.367
1987 Shafer DS, Swanson RC, Walker RB. Topological hyperbolicity and the Coleman Conjecture for diffeomorphisms Journal of Differential Equations. 69: 149-165. DOI: 10.1016/0022-0396(87)90114-8  0.368
1986 Shafer DS, Swanson RC, Walker RB. Topological conjugacy of singularities of vector fields Topology. 25: 521-539. DOI: 10.1016/0040-9383(86)90029-7  0.381
1983 Chicone C, Shafer DS. Separatrix and limit cycles of quadratic systems and dulac’s theorem Transactions of the American Mathematical Society. 278: 585-612. DOI: 10.1090/S0002-9947-1983-0701513-X  0.308
1983 Shafer DS. Singularities of gradient vectorfields in R3 Journal of Differential Equations. 47: 317-326. DOI: 10.1016/0022-0396(83)90039-6  0.302
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