Lu, Qiuying; Deng, Guifeng; Liu, Xiao; Zhu, Deming The stability of heteroclinic loop connecting two hyperbolic saddles with one dimensional unstable manifold. (Chinese. English summary) Zbl 1424.37013 Acta Math. Sin., Chin. Ser. 61, No. 5, 761-770 (2018). MSC: 37C29 37C75 PDFBibTeX XMLCite \textit{Q. Lu} et al., Acta Math. Sin., Chin. Ser. 61, No. 5, 761--770 (2018; Zbl 1424.37013)
Zhang, Tian Si; Zhu, De Ming Codimension-4 resonant homoclinic bifurcations with orbit flips and inclination flips. (English) Zbl 1371.37035 Acta Math. Sin., Engl. Ser. 31, No. 8, 1359-1366 (2015). MSC: 37C29 34C23 34C37 PDFBibTeX XMLCite \textit{T. S. Zhang} and \textit{D. M. Zhu}, Acta Math. Sin., Engl. Ser. 31, No. 8, 1359--1366 (2015; Zbl 1371.37035) Full Text: DOI
Zhang, Tiansi; Zhu, Deming Bifurcation analysis of the multiple flips homoclinic orbit. (English) Zbl 1348.37041 Chin. Ann. Math., Ser. B 36, No. 1, 91-104 (2015). MSC: 37C29 34C23 34C37 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{D. Zhu}, Chin. Ann. Math., Ser. B 36, No. 1, 91--104 (2015; Zbl 1348.37041) Full Text: DOI
Zhang, Tiansi; Huang, Xiaoxin; Zhu, Deming Resonant homoclinic flips bifurcation in principal eigendirections. (English) Zbl 1343.37038 Abstr. Appl. Anal. 2013, Article ID 267826, 7 p. (2013). MSC: 37G15 37C29 34C23 34C37 PDFBibTeX XMLCite \textit{T. Zhang} et al., Abstr. Appl. Anal. 2013, Article ID 267826, 7 p. (2013; Zbl 1343.37038) Full Text: DOI
Geng, Fengjie; Zhao, Junfang; Zhu, Deming; Zhang, Weipeng Bifurcations of a nongeneric heteroclinic loop with nonhyperbolic equilibria. (English) Zbl 1276.34033 Discrete Contin. Dyn. Syst., Ser. B 18, No. 1, 133-145 (2013). MSC: 34C23 37G10 34D09 34C37 PDFBibTeX XMLCite \textit{F. Geng} et al., Discrete Contin. Dyn. Syst., Ser. B 18, No. 1, 133--145 (2013; Zbl 1276.34033) Full Text: DOI
Liu, Dan; Ruan, Shigui; Zhu, Deming Stable periodic oscillations in a two-stage cancer model of tumor and immune system interactions. (English) Zbl 1259.34028 Math. Biosci. Eng. 9, No. 2, 347-368 (2012). MSC: 34C23 34C60 37G10 PDFBibTeX XMLCite \textit{D. Liu} et al., Math. Biosci. Eng. 9, No. 2, 347--368 (2012; Zbl 1259.34028) Full Text: DOI
Liu, Xingbo; Wang, Zhenzhen; Zhu, Deming Bifurcation of rough heteroclinic loop with orbit flips. (English) Zbl 1258.34093 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 11, Paper No. 1250278, 17 p. (2012). MSC: 34C37 34C23 37G20 PDFBibTeX XMLCite \textit{X. Liu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 11, Paper No. 1250278, 17 p. (2012; Zbl 1258.34093) Full Text: DOI
Qiao, Zhiqin; Zhu, Deming; Lu, Qiuying Bifurcation of a heterodimensional cycle with weak inclination flip. (English) Zbl 1271.34047 Discrete Contin. Dyn. Syst., Ser. B 17, No. 3, 1009-1025 (2012). Reviewer: Jürgen Knobloch (Ilmenau) MSC: 34C23 34C37 37G25 34C05 PDFBibTeX XMLCite \textit{Z. Qiao} et al., Discrete Contin. Dyn. Syst., Ser. B 17, No. 3, 1009--1025 (2012; Zbl 1271.34047) Full Text: DOI
Geng, Fengjie; Zhu, Deming; Lian, Hairong Bifurcations of heterodimensional cycles in \(\mathbb{R}^4\). (Chinese. English translation) Zbl 1240.34228 Chin. Ann. Math., Ser. A 32, No. 2, 129-140 (2011); translation in Chin. J. Contemp. Math. 32, No. 2, 103-114 (2011). MSC: 34C37 34C23 34C05 34C25 37C29 37G15 PDFBibTeX XMLCite \textit{F. Geng} et al., Chin. Ann. Math., Ser. A 32, No. 2, 129--140 (2011; Zbl 1240.34228); translation in Chin. J. Contemp. Math. 32, No. 2, 103--114 (2011)
Liu, Dan; Ruan, Shigui; Zhu, Deming Nongeneric bifurcations near heterodimensional cycles with inclination flip in \(\mathbb{R}^4\). (English) Zbl 1257.34026 Discrete Contin. Dyn. Syst., Ser. S 4, No. 6, 1511-1532 (2011). Reviewer: Jürgen Knobloch (Ilmenau) MSC: 34C23 37G25 34C37 34C05 PDFBibTeX XMLCite \textit{D. Liu} et al., Discrete Contin. Dyn. Syst., Ser. S 4, No. 6, 1511--1532 (2011; Zbl 1257.34026) Full Text: DOI
Geng, Fengjie; Zhu, Deming; Xu, Yancong Bifurcations of heterodimensional cycles with two saddle points. (English) Zbl 1197.37063 Chaos Solitons Fractals 39, No. 5, 2063-2075 (2009). MSC: 37G15 34C23 PDFBibTeX XMLCite \textit{F. Geng} et al., Chaos Solitons Fractals 39, No. 5, 2063--2075 (2009; Zbl 1197.37063) Full Text: DOI
Zhang, Weipeng; Zhu, Deming Codimension 2 bifurcations of double homoclinic loops. (English) Zbl 1197.37065 Chaos Solitons Fractals 39, No. 1, 295-303 (2009). MSC: 37G15 34C23 34C37 37C29 PDFBibTeX XMLCite \textit{W. Zhang} and \textit{D. Zhu}, Chaos Solitons Fractals 39, No. 1, 295--303 (2009; Zbl 1197.37065) Full Text: DOI
Xu, YanCong; Zhu, DeMing; Deng, GuiFeng Codimension 2 reversible heteroclinic bifurcations with inclination flips. (English) Zbl 1187.37033 Sci. China, Ser. A 52, No. 8, 1801-1814 (2009). Reviewer: Iliya Iliev (Sofia) MSC: 37C29 37C10 37G20 37G40 34C37 PDFBibTeX XMLCite \textit{Y. Xu} et al., Sci. China, Ser. A 52, No. 8, 1801--1814 (2009; Zbl 1187.37033) Full Text: DOI
Qiao, Zhiqin; Lu, Qiuying; Zhu, Deming Bifurcation of rough heteroclinic loop with orbit and inclination flips. (English) Zbl 1167.34349 Nonlinear Anal., Real World Appl. 10, No. 2, 611-628 (2009). MSC: 34C37 34C23 37G99 37C29 PDFBibTeX XMLCite \textit{Z. Qiao} et al., Nonlinear Anal., Real World Appl. 10, No. 2, 611--628 (2009; Zbl 1167.34349) Full Text: DOI
Liu, Dan; Ruan, Shigui; Zhu, Deming Bifurcation analysis in models of tumor and immune system interactions. (English) Zbl 1179.34047 Discrete Contin. Dyn. Syst., Ser. B 12, No. 1, 151-168 (2009). Reviewer: Josef Hainzl (Freiburg) MSC: 34C60 34C05 92C50 34C23 34C20 37G10 PDFBibTeX XMLCite \textit{D. Liu} et al., Discrete Contin. Dyn. Syst., Ser. B 12, No. 1, 151--168 (2009; Zbl 1179.34047) Full Text: DOI
Liu, Xingbo; Zhu, Deming Bifurcation of degenerate homoclinic orbits to saddle-center in reversible systems. (English) Zbl 1197.34067 Chin. Ann. Math., Ser. B 29, No. 6, 575-584 (2008). Reviewer: Jürgen Knobloch (Ilmenau) MSC: 34C37 37G25 34C23 34C14 PDFBibTeX XMLCite \textit{X. Liu} and \textit{D. Zhu}, Chin. Ann. Math., Ser. B 29, No. 6, 575--584 (2008; Zbl 1197.34067) Full Text: DOI
Xu, Yancong; Zhu, Deming; Geng, Fengjie Codimension 3 heteroclinic bifurcations with orbit and inclination flips in reversible systems. (English) Zbl 1165.34358 Int. J. Bifurcation Chaos Appl. Sci. Eng. 18, No. 12, 3689-3701 (2008). MSC: 34C37 34C23 34C14 37G15 37C80 PDFBibTeX XMLCite \textit{Y. Xu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 18, No. 12, 3689--3701 (2008; Zbl 1165.34358) Full Text: DOI
Deng, Guifeng; Zhu, Deming Codimension-3 bifurcations of a class of homoclinic loop with saddle-point. (English) Zbl 1165.34025 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 11, 3761-3773 (2008). Reviewer: Eugene Ershov (St. Petersburg) MSC: 34C23 37G20 34C37 PDFBibTeX XMLCite \textit{G. Deng} and \textit{D. Zhu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 11, 3761--3773 (2008; Zbl 1165.34025) Full Text: DOI
Zhang, Weipeng; Zhu, Deming; Liu, Dan Codimension 3 nontwisted double homoclinic loops bifurcations with resonant eigenvalues. (English) Zbl 1195.34058 J. Dyn. Differ. Equations 20, No. 4, 893-908 (2008). MSC: 34C23 34C37 37G20 PDFBibTeX XMLCite \textit{W. Zhang} et al., J. Dyn. Differ. Equations 20, No. 4, 893--908 (2008; Zbl 1195.34058) Full Text: DOI
Geng, Fengjie; Liu, Dan; Zhu, Deming Bifurcations of generic heteroclinic loop accompanied by transcritical bifurcation. (English) Zbl 1147.34324 Int. J. Bifurcation Chaos Appl. Sci. Eng. 18, No. 4, 1069-1083 (2008). MSC: 34C23 34C37 37G20 PDFBibTeX XMLCite \textit{F. Geng} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 18, No. 4, 1069--1083 (2008; Zbl 1147.34324) Full Text: DOI
Liu, Dan; Geng, Fengjie; Zhu, Deming Degenerate bifurcations of nontwisted heterodimensional cycles with codimension 3. (English) Zbl 1165.34026 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 9, 2813-2827 (2008). Reviewer: Jürgen Knobloch (Ilmenau) MSC: 34C37 37G25 34C23 PDFBibTeX XMLCite \textit{D. Liu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 9, 2813--2827 (2008; Zbl 1165.34026) Full Text: DOI
Zhang, Tian-Si; Zhu, De-Ming Bifurcations of double homoclinic flip orbits with resonant eigenvalues. (English) Zbl 1231.37014 Appl. Math. Mech., Engl. Ed. 28, No. 11, 1517-1526 (2007). MSC: 37C29 34C23 34C37 PDFBibTeX XMLCite \textit{T.-S. Zhang} and \textit{D.-M. Zhu}, Appl. Math. Mech., Engl. Ed. 28, No. 11, 1517--1526 (2007; Zbl 1231.37014) Full Text: DOI
Zhang, Tiansi; Zhu, Deming Bifurcations of homoclinic orbit connecting two nonleading eigendirections. (English) Zbl 1140.37346 Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 3, 823-836 (2007). MSC: 37G20 34C37 37C29 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{D. Zhu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 3, 823--836 (2007; Zbl 1140.37346) Full Text: DOI
Hui, Jing; Zhu, De-Ming Dynamics of SEIS epidemic models with varying population size. (English) Zbl 1145.34028 Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 5, 1513-1529 (2007). Reviewer: Yaping Liu (Pittsburg) MSC: 34C60 34D23 37N25 92D30 PDFBibTeX XMLCite \textit{J. Hui} and \textit{D.-M. Zhu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 5, 1513--1529 (2007; Zbl 1145.34028) Full Text: DOI
Zhu, De Ming; Sun, Ying Homoclinic and periodic orbits arising near the heteroclinic cycle connecting saddle-focus and saddle under reversible condition. (English) Zbl 1126.37011 Acta Math. Sin., Engl. Ser. 23, No. 8, 1495-1504 (2007). MSC: 37C29 37C27 34C05 34C14 PDFBibTeX XMLCite \textit{D. M. Zhu} and \textit{Y. Sun}, Acta Math. Sin., Engl. Ser. 23, No. 8, 1495--1504 (2007; Zbl 1126.37011) Full Text: DOI
Liu, Xingbo; Fu, Xianlong; Zhu, Deming Bifurcation of homoclinic orbits with saddle-center equilibrium. (English) Zbl 1127.34022 Chin. Ann. Math., Ser. B 28, No. 1, 81-92 (2007). Reviewer: Eugene Ershov (St. Petersburg) MSC: 34C23 34C37 37C29 PDFBibTeX XMLCite \textit{X. Liu} et al., Chin. Ann. Math., Ser. B 28, No. 1, 81--92 (2007; Zbl 1127.34022) Full Text: DOI
Liu, Xingbo; Fu, Xianlong; Zhu, Deming Homoclinic bifurcation with nonhyperbolic equilibria. (English) Zbl 1124.34025 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 12, 2931-2939 (2007). Reviewer: Alois Steindl (Wien) MSC: 34C23 37C29 37G20 34C37 34C05 PDFBibTeX XMLCite \textit{X. Liu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 12, 2931--2939 (2007; Zbl 1124.34025) Full Text: DOI
Shui, Shuliang; Zhu, Deming Codimension 3 non-resonant bifurcations of rough heteroclinic loops with one orbit flip. (English) Zbl 1133.34026 Chin. Ann. Math., Ser. B 27, No. 6, 657-674 (2006). Reviewer: Maite Grau (Lleida) MSC: 34C23 34C37 37C29 34C05 PDFBibTeX XMLCite \textit{S. Shui} and \textit{D. Zhu}, Chin. Ann. Math., Ser. B 27, No. 6, 657--674 (2006; Zbl 1133.34026) Full Text: DOI
Zhang, Tiansi; Zhu, Deming Homoclinic bifurcation of orbit flip with resonant principal eigenvalues. (English) Zbl 1106.37013 Acta Math. Sin., Engl. Ser. 22, No. 3, 855-864 (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37C29 34C23 34C37 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{D. Zhu}, Acta Math. Sin., Engl. Ser. 22, No. 3, 855--864 (2006; Zbl 1106.37013) Full Text: DOI
Hui, Jing; Zhu, Deming Dynamic complexities for prey-dependent consumption integrated pest management models with impulsive effects. (English) Zbl 1095.92067 Chaos Solitons Fractals 29, No. 1, 233-251 (2006). MSC: 92D40 34A37 34D23 93C95 37N25 PDFBibTeX XMLCite \textit{J. Hui} and \textit{D. Zhu}, Chaos Solitons Fractals 29, No. 1, 233--251 (2006; Zbl 1095.92067) Full Text: DOI
Liu, Xingbo; Zhu, Deming Bifurcation of homoclinic orbit in fast oscillation. (Chinese. English summary) Zbl 1104.34035 Acta Math. Sci., Ser. A, Chin. Ed. 25, No. 6, 753-762 (2005). MSC: 34C37 34C23 37C29 34C25 PDFBibTeX XMLCite \textit{X. Liu} and \textit{D. Zhu}, Acta Math. Sci., Ser. A, Chin. Ed. 25, No. 6, 753--762 (2005; Zbl 1104.34035)
Jin, Yinlai; Zhu, Deming Bifurcations of fine 3-point-loop in higher dimensional space. (English) Zbl 1124.37012 Acta Math. Sin., Engl. Ser. 21, No. 1, 39-52 (2005). MSC: 37C29 34C23 34C37 PDFBibTeX XMLCite \textit{Y. Jin} and \textit{D. Zhu}, Acta Math. Sin., Engl. Ser. 21, No. 1, 39--52 (2005; Zbl 1124.37012) Full Text: DOI
Shui, Shuliang; Zhu, Deming Codimension 3 nonresonant bifurcations of homoclinic orbits with two inclination flips. (English) Zbl 1170.37325 Sci. China, Ser. A 48, No. 2, 248-260 (2005). MSC: 37G20 34C23 34C20 34C37 PDFBibTeX XMLCite \textit{S. Shui} and \textit{D. Zhu}, Sci. China, Ser. A 48, No. 2, 248--260 (2005; Zbl 1170.37325)
Bai, Yuzhen; Zhu, Deming Persistence of resonant invariant tori with non-Hamiltonian perturbation. (English) Zbl 1094.34026 Acta Math. Sci., Ser. B, Engl. Ed. 25, No. 3, 481-491 (2005). Reviewer: Christian Mira (Quint) MSC: 34C30 37C55 37D10 37D25 34C27 34C45 PDFBibTeX XMLCite \textit{Y. Bai} and \textit{D. Zhu}, Acta Math. Sci., Ser. B, Engl. Ed. 25, No. 3, 481--491 (2005; Zbl 1094.34026) Full Text: DOI
Du, Jiayin; Zhu, Deming The chaotic linear map in the function space defined on a planar lattices. (English) Zbl 1092.47033 Chaos Solitons Fractals 23, No. 4, 1235-1244 (2005). Reviewer: Alfredo Peris (València) MSC: 47B37 37D45 54H20 37B20 47A16 47A15 PDFBibTeX XMLCite \textit{J. Du} and \textit{D. Zhu}, Chaos Solitons Fractals 23, No. 4, 1235--1244 (2005; Zbl 1092.47033) Full Text: DOI
Jin, Yinlai; Zhu, Deming Bifurcations of rough heteroclinic loops with three saddle points. (Chinese. English summary) Zbl 1124.34336 Acta Math. Sin. 47, No. 6, 1237-1242 (2004). MSC: 34C37 34C23 37G20 34C05 PDFBibTeX XMLCite \textit{Y. Jin} and \textit{D. Zhu}, Acta Math. Sin. 47, No. 6, 1237--1242 (2004; Zbl 1124.34336)
Liu, Xingbo; Zhu, Deming Bifurcation of a generic homoclinic orbit accompanied with a transcritical bifurcation. (Chinese. English summary) Zbl 1125.34318 Acta Math. Sin. 47, No. 5, 957-964 (2004). MSC: 34C23 34C37 37C29 37G20 PDFBibTeX XMLCite \textit{X. Liu} and \textit{D. Zhu}, Acta Math. Sin. 47, No. 5, 957--964 (2004; Zbl 1125.34318)
Zhang, Tiansi; Zhu, Deming Codimension 3 homoclinic bifurcation of orbit flip with resonant eigenvalues corresponding to the tangent directions. (English) Zbl 1072.37041 Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 12, 4161-4175 (2004). MSC: 37G20 37C29 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{D. Zhu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 12, 4161--4175 (2004; Zbl 1072.37041) Full Text: DOI
Shui, Shuliang; Zhu, Deming Codimension 3 bifurcations of homoclinic orbits with flips and inclination flips. (English) Zbl 1066.37012 Chin. Ann. Math., Ser. B 25, No. 4, 555-566 (2004). MSC: 37C29 34C23 34C37 37G20 PDFBibTeX XMLCite \textit{S. Shui} and \textit{D. Zhu}, Chin. Ann. Math., Ser. B 25, No. 4, 555--566 (2004; Zbl 1066.37012) Full Text: DOI
Liu, Xingbo; Zhu, Deming Bifurcation of resonant invariant torus in singular perturbation system. (Chinese. English summary) Zbl 1067.34048 Chin. Ann. Math., Ser. A 25, No. 5, 637-644 (2004). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C45 34C23 34C37 37C29 34E20 PDFBibTeX XMLCite \textit{X. Liu} and \textit{D. Zhu}, Chin. Ann. Math., Ser. A 25, No. 5, 637--644 (2004; Zbl 1067.34048)
Jin, Yinlai; Zhu, Deming Bifurcations of rough heteroclinic loop with two saddle points. (English) Zbl 1215.37039 Sci. China, Ser. A 46, No. 4, 459-468 (2003). MSC: 37G20 34C37 34C23 PDFBibTeX XMLCite \textit{Y. Jin} and \textit{D. Zhu}, Sci. China, Ser. A 46, No. 4, 459--468 (2003; Zbl 1215.37039) Full Text: DOI
Liu, Xingbo; Zhu, Deming Some topological properties of endomorphisms of the unit circle. (English) Zbl 1048.37040 Ann. Differ. Equations 19, No. 3, 368-370 (2003). Reviewer: Georgy Osipenko (St. Petersburg) MSC: 37E10 37B10 PDFBibTeX XMLCite \textit{X. Liu} and \textit{D. Zhu}, Ann. Differ. Equations 19, No. 3, 368--370 (2003; Zbl 1048.37040)
Li, Xianyi; Zhu, Deming Global attractivity in a delay difference equation. (English) Zbl 1047.39015 J. Math. Res. Expo. 23, No. 2, 270-274 (2003). Reviewer: Fozi Dannan (Doha) MSC: 39A12 39A20 37B25 PDFBibTeX XMLCite \textit{X. Li} and \textit{D. Zhu}, J. Math. Res. Expo. 23, No. 2, 270--274 (2003; Zbl 1047.39015)
Jin, Yinlai; Zhu, Deming; Zheng, Qingyu Bifurcations of rough 3-point-loop with higher dimensions. (English) Zbl 1070.37013 Chin. Ann. Math., Ser. B 24, No. 1, 85-96 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37C29 34C23 34C37 37G20 PDFBibTeX XMLCite \textit{Y. Jin} et al., Chin. Ann. Math., Ser. B 24, No. 1, 85--96 (2003; Zbl 1070.37013) Full Text: DOI
Francisco, G. S.; Zhu, Deming Persistence and transversality of homoclinic orbits for diffeomorphisms. (English) Zbl 1018.37017 Ann. Differ. Equations 18, No. 4, 330-343 (2002). Reviewer: Ale Jan Homburg (Amsterdam) MSC: 37C29 PDFBibTeX XMLCite \textit{G. S. Francisco} and \textit{D. Zhu}, Ann. Differ. Equations 18, No. 4, 330--343 (2002; Zbl 1018.37017)
Jin, Yin Lai; Zhu, De Ming Bifurcations of rough heteroclinic loops with three saddle points. (English) Zbl 1010.34037 Acta Math. Sin., Engl. Ser. 18, No. 1, 199-208 (2002). Reviewer: Michal Fečkan (Bratislava) MSC: 34C37 34C23 37C29 PDFBibTeX XMLCite \textit{Y. L. Jin} and \textit{D. M. Zhu}, Acta Math. Sin., Engl. Ser. 18, No. 1, 199--208 (2002; Zbl 1010.34037) Full Text: DOI
Meng, Yanshuang; Zhu, Deming Invariant 3-torus bifurcations from periodic manifolds. (English) Zbl 1054.37035 Ann. Differ. Equations 16, No. 3, 251-262 (2000). MSC: 37J20 34C23 37G15 PDFBibTeX XMLCite \textit{Y. Meng} and \textit{D. Zhu}, Ann. Differ. Equations 16, No. 3, 251--262 (2000; Zbl 1054.37035)
Tian, Qingping; Zhu, Deming Bifurcations of nontwisted heteroclinic loop. (English) Zbl 1120.37309 Sci. China, Ser. A 43, No. 8, 818-828 (2000). Reviewer: Josef Hainzl (Freiburg) (MR1799917) MSC: 37G20 34C23 37C29 PDFBibTeX XMLCite \textit{Q. Tian} and \textit{D. Zhu}, Sci. China, Ser. A 43, No. 8, 818--828 (2000; Zbl 1120.37309) Full Text: DOI
Jin, Yinlai; Zhu, Deming Degenerated homoclinic bifurcations with higher dimensions. (English) Zbl 0974.37014 Chin. Ann. Math., Ser. B 21, No. 2, 201-210 (2000). Reviewer: Messoud Efendiev (Berlin) MSC: 37C29 37G15 37G25 34C37 PDFBibTeX XMLCite \textit{Y. Jin} and \textit{D. Zhu}, Chin. Ann. Math., Ser. B 21, No. 2, 201--210 (2000; Zbl 0974.37014) Full Text: DOI
Zhu, Deming; Qin, Siyi Persistence and transversality of the degenerate heteroclinic orbits accompanied by equilibrium bifurcations. (Chinese. English summary) Zbl 0958.37005 J. Syst. Sci. Math. Sci. 19, No. 2, 162-168 (1999). MSC: 37C29 34C37 PDFBibTeX XMLCite \textit{D. Zhu} and \textit{S. Qin}, J. Syst. Sci. Math. Sci. 19, No. 2, 162--168 (1999; Zbl 0958.37005)
Zhu, Deming Homoclinic bifurcation problems in higher dimensions. (Chinese. English summary) Zbl 1018.34041 Acta Math. Sin. 41, No. 6, 1289-1294 (1998). MSC: 34C23 37G20 34C37 PDFBibTeX XMLCite \textit{D. Zhu}, Acta Math. Sin. 41, No. 6, 1289--1294 (1998; Zbl 1018.34041)
Zhu, Deming; Han, Maoan Invariant tori and subharmonic bifurcations from periodic manifolds. (Chinese. English summary) Zbl 1010.37028 Acta Math. Sin. 41, No. 4, 749-756 (1998). MSC: 37G15 34C23 34C29 PDFBibTeX XMLCite \textit{D. Zhu} and \textit{M. Han}, Acta Math. Sin. 41, No. 4, 749--756 (1998; Zbl 1010.37028)
Qin, Siyi; Zhu, Deming Normal nonhyperbolic invariant manifold and invariant tori bifurcation. (Chinese. English summary) Zbl 0921.34045 Appl. Math., Ser. A (Chin. Ed.) 13, No. 4, 371-380 (1998). MSC: 34C30 37D99 37G99 34C29 34C45 34C23 PDFBibTeX XMLCite \textit{S. Qin} and \textit{D. Zhu}, Appl. Math., Ser. A (Chin. Ed.) 13, No. 4, 371--380 (1998; Zbl 0921.34045)
Zhu, Deming; Han, Maoan Invariant tori and subharmonic bifurcations from periodic manifolds. (English) Zbl 0919.58051 Acta Math. Sin., New Ser. 14, Suppl., 613-624 (1998). MSC: 37G99 37C55 PDFBibTeX XMLCite \textit{D. Zhu} and \textit{M. Han}, Acta Math. Sin., New Ser. 14, 613--624 (1998; Zbl 0919.58051)
Zhu, Deming Problems in homoclinic bifurcation with higher dimensions. (English) Zbl 0932.37032 Acta Math. Sin., New Ser. 14, No. 3, 341-352 (1998). MSC: 37G15 37G25 PDFBibTeX XMLCite \textit{D. Zhu}, Acta Math. Sin., New Ser. 14, No. 3, 341--352 (1998; Zbl 0932.37032) Full Text: DOI
Zhu, Deming Exponential trichotomy and heteroclinic bifurcations. (English) Zbl 0877.34037 Nonlinear Anal., Theory Methods Appl. 28, No. 3, 547-557 (1997). Reviewer: M.A.Teixeira (Campinas) MSC: 34C37 37G99 34C23 PDFBibTeX XMLCite \textit{D. Zhu}, Nonlinear Anal., Theory Methods Appl. 28, No. 3, 547--557 (1997; Zbl 0877.34037) Full Text: DOI
Luo, Dingjun; Wang, Xian; Zhu, Deming; Han, Maoan Bifurcation theory and methods of dynamical systems. (English) Zbl 0961.37015 World Scientific Advanced Series in Dynamical Systems 15. Singapore: World Scientific (ISBN 981-02-2094-4/hbk). xiii, 461 p. (1997). Reviewer: Abdelkader Boucherif (Dhahran) MSC: 37G15 37-02 PDFBibTeX XMLCite \textit{D. Luo} et al., Bifurcation theory and methods of dynamical systems. Singapore: World Scientific (1997; Zbl 0961.37015) Full Text: DOI
Han, Maoan; Zhu, Deming Bifurcation of an invariant torus with strong resonance. (Chinese. English summary) Zbl 0862.58040 Acta Math. Sin. 39, No. 1, 96-101 (1996). MSC: 37G99 PDFBibTeX XMLCite \textit{M. Han} and \textit{D. Zhu}, Acta Math. Sin. 39, No. 1, 96--101 (1996; Zbl 0862.58040)
Zhu, Deming Orbits heteroclinic to invariant manifolds. (English) Zbl 0868.58065 Acta Math. Sin., New Ser. 12, No. 4, 372-378 (1996). Reviewer: S.Nenov (Sofia) MSC: 37D99 PDFBibTeX XMLCite \textit{D. Zhu}, Acta Math. Sin., New Ser. 12, No. 4, 372--378 (1996; Zbl 0868.58065) Full Text: DOI
Zhu, Deming; Xu, Juntao Homoclinic bifurcation, generalized Hopf bifurcation and horseshoes. (Chinese) Zbl 0831.58038 Chin. Ann. Math., Ser. A 15, No. 6, 671-680 (1994). Reviewer: Huang Qiyu (Fujian) MSC: 37G99 37D45 PDFBibTeX XMLCite \textit{D. Zhu} and \textit{J. Xu}, Chin. Ann. Math., Ser. A 15, No. 6, 671--680 (1994; Zbl 0831.58038)
Zhu, Deming; Wang, Fujun Global bifurcation in the Shil’nikov phenomenon with weak attractivity. (Chinese. English summary) Zbl 0811.58048 Appl. Math., Ser. A (Chin. Ed.) 9, No. 3, 256-265 (1994). MSC: 37G99 37D45 PDFBibTeX XMLCite \textit{D. Zhu} and \textit{F. Wang}, Appl. Math., Ser. A (Chin. Ed.) 9, No. 3, 256--265 (1994; Zbl 0811.58048)
Zhu, Deming Hyperbolic recurrent sets. (Chinese. English summary) Zbl 0776.58028 J. East China Norm. Univ., Nat. Sci. Ed. 1992, No. 2, 1-6 (1992). Reviewer: Lan Wen (Beijing) MSC: 37D99 37C25 PDFBibTeX XMLCite \textit{D. Zhu}, J. East China Norm. Univ., Nat. Sci. Ed. 1992, No. 2, 1--6 (1992; Zbl 0776.58028)
Zhu, Deming; Luo, Dingjun Attractive regions and invariant sets of 2-dimensional maps. (Chinese) Zbl 0727.58040 Chin. Ann. Math., Ser. A 11, No. 4, 499-504 (1990). Reviewer: Chang Kungching (Beijing) MSC: 37C10 37C70 PDFBibTeX XMLCite \textit{D. Zhu} and \textit{D. Luo}, Chin. Ann. Math., Ser. A 11, No. 4, 499--504 (1990; Zbl 0727.58040)
Luo, Dingjun; Zhu, Deming The stability of homoclinic loop and the uniqueness for generating limit cycles. (Chinese) Zbl 0705.34024 Chin. Ann. Math., Ser. A 11, No. 1, 95-103 (1990). Reviewer: Zhujun Jing MSC: 34C05 34D20 37G99 34C37 PDFBibTeX XMLCite \textit{D. Luo} and \textit{D. Zhu}, Chin. Ann. Math., Ser. A 11, No. 1, 95--103 (1990; Zbl 0705.34024)
Zhu, Deming Surface subshifts and subshift data. (English) Zbl 0780.58028 Acta Math. Sin., New Ser. 5, No. 1, 16-26 (1989). MSC: 37C75 37D15 PDFBibTeX XMLCite \textit{D. Zhu}, Acta Math. Sin., New Ser. 5, No. 1, 16--26 (1989; Zbl 0780.58028) Full Text: DOI
Zhu, Deming Homology zeta functions and Lefschetz numbers. (English) Zbl 0684.58035 Ann. Differ. Equations 5, No. 2, 249-252 (1989). Reviewer: S.Yu.Pilyugin MSC: 37C25 PDFBibTeX XMLCite \textit{D. Zhu}, Ann. Differ. Equations 5, No. 2, 249--252 (1989; Zbl 0684.58035)
Zhu, Deming The structure of the closure of recurrent orbits and the orbit space of continuous flow. (Chinese. English summary) Zbl 0678.58033 J. Math. Res. Expo. 8, No. 3, 367-372 (1988). MSC: 37G15 PDFBibTeX XMLCite \textit{D. Zhu}, J. Math. Res. Expo. 8, No. 3, 367--372 (1988; Zbl 0678.58033)
Zhu, Deming Saddle values and integrability conditions of quadratic differential systems. (English) Zbl 0659.34051 Chin. Ann. Math., Ser. B 8, 466-478 (1987). Reviewer: Chungbao Li MSC: 34C40 34D10 37G99 37G15 PDFBibTeX XMLCite \textit{D. Zhu}, Chin. Ann. Math., Ser. B 8, 466--478 (1987; Zbl 0659.34051)
Zhu, Deming The improvement of the Kneser theorem and its applications. (English) Zbl 0652.58037 Chin. Ann. Math., Ser. B 8, 364-374 (1987). Reviewer: A.Pelczar MSC: 37C10 37G99 PDFBibTeX XMLCite \textit{D. Zhu}, Chin. Ann. Math., Ser. B 8, 364--374 (1987; Zbl 0652.58037)
Zhu, Deming Existence of non-null-homotopic periodic orbits on 2-manifold. (Chinese) Zbl 0641.58040 Acta Math. Sin. 30, No. 4, 706-712 (1987). Reviewer: J.H.Tian MSC: 37G99 37D15 PDFBibTeX XMLCite \textit{D. Zhu}, Acta Math. Sin. 30, No. 4, 706--712 (1987; Zbl 0641.58040)
Zhu, Deming Dynamical systems with integral invariant on 2-manifold. (English) Zbl 0626.34048 Ann. Differ. Equations 2, 241-253 (1986). Reviewer: M.A.Teixeira MSC: 37-XX 34C40 PDFBibTeX XMLCite \textit{D. Zhu}, Ann. Differ. Equations 2, 241--253 (1986; Zbl 0626.34048)