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## Zhu, Deming

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 Author ID: zhu.deming Published as: Zhu, De Ming; Zhu, De-Ming; Zhu, De-ming; Zhu, DeMing; Zhu, Deming
 Documents Indexed: 149 Publications since 1984, including 2 Books
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#### Co-Authors

 31 single-authored 19 Li, Xianyi 15 Liu, Xingbo 12 Geng, Fengjie 11 Han, Maoan 9 Jin, Yinlai 9 Xu, Yancong 8 Luo, Dingjun 8 Zhang, Tiansi 7 Lu, Qiuying 7 Zhang, Weipeng 6 Liu, Dan 5 Deng, Guifeng 4 Qiao, Zhiqin 3 Bai, Yuzhen 3 Bi, Ping 3 Hui, Jing 3 Ruan, Shigui 3 Shui, Shuliang 3 Sun, Ying 2 Fu, Xianlong 2 Qin, Siyi 2 Wang, Fujun 2 Wang, Xian 2 Xiao, Gongfu 1 Deng, Guoyang 1 Du, Jiayin 1 Francisco, G. S. 1 Huang, Xiaoxin 1 Jia, Zhi 1 Li, Hongzhi 1 Li, Zhi 1 Lian, Hairong 1 Lin, Xiaobiao 1 Liu, Junying 1 Liu, Xiao 1 Meng, Yanshuang 1 Tian, Qingping 1 Wang, Hanqing 1 Wang, Zhenzhen 1 Xia, Zhihong 1 Xu, Juntao 1 Xu, Min 1 Ye, Yanqian 1 Zhao, Junfang 1 Zheng, Qingyu 1 Zhou, Yong
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#### Serials

 15 Chinese Annals of Mathematics. Series B 12 Annals of Differential Equations 10 Acta Mathematica Sinica 10 Chinese Annals of Mathematics. Series A 9 Science in China. Series A 9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Acta Mathematica Sinica. New Series 6 Acta Mathematica Sinica. English Series 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Applied Mathematics Letters 5 Applied Mathematics. Series A (Chinese Edition) 4 Computers & Mathematics with Applications 4 Chaos, Solitons and Fractals 4 Discrete and Continuous Dynamical Systems. Series B 3 Applied Mathematics. Series B (English Edition) 2 Applied Mathematics and Computation 2 Journal of Mathematics. Wuhan University 2 Journal of Mathematical Research & Exposition 2 Applied Mathematics and Mechanics. (English Edition) 2 Acta Mathematicae Applicatae Sinica. English Series 2 Chinese Quarterly Journal of Mathematics 2 Nonlinear Analysis. Real World Applications 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Acta Mathematica Sinica. Chinese Series 1 Journal of Mathematical Analysis and Applications 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Nanjing University. Natural Sciences 1 Journal of East China Normal University. Natural Science Edition 1 Journal of Nanjing University. Mathematical Biquarterly 1 Journal of Systems Science and Mathematical Sciences 1 Journal of Biomathematics 1 Mathematical and Computer Modelling 1 Chinese Science Bulletin 1 Journal of Dynamics and Differential Equations 1 Journal of Difference Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Communications on Pure and Applied Analysis 1 Mathematical Biosciences and Engineering 1 Discrete and Continuous Dynamical Systems. Series S 1 Science China. Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Fields

 110 Ordinary differential equations (34-XX) 76 Dynamical systems and ergodic theory (37-XX) 22 Difference and functional equations (39-XX) 9 Biology and other natural sciences (92-XX) 3 Operator theory (47-XX) 2 Mechanics of particles and systems (70-XX) 1 Partial differential equations (35-XX) 1 General topology (54-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

90 Publications have been cited 753 times in 416 Documents Cited by Year
Bifurcation theory and methods of dynamical systems. Zbl 0961.37015
Luo, Dingjun; Wang, Xian; Zhu, Deming; Han, Maoan
1997
Bifurcations of heteroclinic loops. Zbl 0993.34040
Zhu, Deming; Xia, Zhihong
1998
Global asymptotic stability in a rational equation. Zbl 1055.39014
Li, Xianyi; Zhu, Deming
2003
Dynamic complexities for prey-dependent consumption integrated pest management models with impulsive effects. Zbl 1095.92067
Hui, Jing; Zhu, Deming
2006
Global asymptotic stability for two recursive difference equations. Zbl 1044.39006
Li, Xianyi; Zhu, Deming
2004
Problems in homoclinic bifurcation with higher dimensions. Zbl 0932.37032
Zhu, Deming
1998
Bifurcations of rough heteroclinic loop with two saddle points. Zbl 1215.37039
Jin, Yinlai; Zhu, Deming
2003
Multiple positive periodic solutions of a delayed discrete predator-prey system with type IV functional responses. Zbl 1142.39015
Zhang, Weipeng; Zhu, Deming; Bi, Ping
2007
Oscillation and nonoscillation of advanced differential equations with variable coefficients. Zbl 1013.34067
Li, Xianyi; Zhu, Deming
2002
Degenerated homoclinic bifurcations with higher dimensions. Zbl 0974.37014
Jin, Yinlai; Zhu, Deming
2000
Exponential trichotomy and heteroclinic bifurcations. Zbl 0877.34037
Zhu, Deming
1997
Codimension 3 homoclinic bifurcation of orbit flip with resonant eigenvalues corresponding to the tangent directions. Zbl 1072.37041
Zhang, Tiansi; Zhu, Deming
2004
Two rational recursive sequences. Zbl 1072.39008
Li, Xianyi; Zhu, Deming
2004
Bifurcations of rough heteroclinic loops with three saddle points. Zbl 1010.34037
Jin, Yin Lai; Zhu, De Ming
2002
Bifurcations of nontwisted heteroclinic loop. Zbl 1120.37309
Tian, Qingping; Zhu, Deming
2000
Global stability and periodicity of SIS epidemic models with backward bifurcation. Zbl 1078.92058
Hui, Jing; Zhu, Deming
2005
Global asymptotic stability of a nonlinear recursive sequence. Zbl 1068.39014
Li, Xianyi; Zhu, Deming
2004
Cyclicity of homoclinic loops and degenerate cubic Hamiltonians. Zbl 0959.34022
Han, Maoan; Ye, Yanqian; Zhu, Deming
1999
Periodic boundary value problems for first-order impulsive dynamic equations on time scales. Zbl 1165.34013
Geng, Fengjie; Xu, Yancong; Zhu, Deming
2008
Existence of periodic solutions of a scalar functional differential equation via a fixed point theorem. Zbl 1145.34041
Zhang, Weipeng; Zhu, Deming; Bi, Ping
2007
Existence of the limit cycle and global behavior of the solutions of Liénard equation. Zbl 0632.34025
Zhu, Deming
1986
Bifurcations of heterodimensional cycles with one orbit flip and one inclination flip. Zbl 1189.70102
Xu, Yancong; Zhu, Deming
2010
Heterodimensional cycle bifurcation with orbit-flip. Zbl 1188.34044
Lu, Qiuying; Qiao, Zhiqin; Zhang, Tiansi; Zhu, Deming
2010
Bifurcations of generic heteroclinic loop accompanied by transcritical bifurcation. Zbl 1147.34324
Geng, Fengjie; Liu, Dan; Zhu, Deming
2008
Oscillation of advanced difference equations with variable coefficients. Zbl 1010.39001
Li, Xianyi; Zhu, Deming
2002
Bifurcations of heterodimensional cycles with two saddle points. Zbl 1197.37063
Geng, Fengjie; Zhu, Deming; Xu, Yancong
2009
Bifurcation analysis in models of tumor and immune system interactions. Zbl 1179.34047
Liu, Dan; Ruan, Shigui; Zhu, Deming
2009
Periodicity in a ratio-dependent predator-prey system with stage-structured predator on time scales. Zbl 1142.34025
Zhang, Weipeng; Bi, Ping; Zhu, Deming
2008
Global asymptotic stability of a higher order nonlinear difference equation. Zbl 1117.39005
Li, Zhi; Zhu, Deming
2006
Bifurcation in delay differential systems with triple-zero singularity. Zbl 1224.34239
Qiao, Zhiqin; Liu, Xingbo; Zhu, Deming
2010
Codimension 3 heteroclinic bifurcations with orbit and inclination flips in reversible systems. Zbl 1165.34358
Xu, Yancong; Zhu, Deming; Geng, Fengjie
2008
Multiple results of $$p$$-Laplacian dynamic equations on time scales. Zbl 1193.34182
Geng, Fengjie; Zhu, Deming
2007
Bifurcations of homoclinic orbit connecting two nonleading eigendirections. Zbl 1140.37346
Zhang, Tiansi; Zhu, Deming
2007
New results for the asymptotic behavior of a nonlinear second-order difference equation. Zbl 1049.39007
Li, Xianyi; Zhu, Deming
2003
Oscillation for advanced differential equations with oscillating coefficients. Zbl 1031.34066
Li, Xianyi; Zhu, Deming; Wang, Hanqing
2003
The uniqueness of limit cycles bifurcating from a singular closed orbit. I. Zbl 0763.34018
Luo, Dingjun; Han, Maoan; Zhu, Deming
1992
Stable periodic oscillations in a two-stage cancer model of tumor and immune system interactions. Zbl 1259.34028
Liu, Dan; Ruan, Shigui; Zhu, Deming
2012
Codimension 3 nonresonant bifurcations of homoclinic orbits with two inclination flips. Zbl 1170.37325
Shui, Shuliang; Zhu, Deming
2005
Exponential trichotomy, orthogonality condition and their application. Zbl 0992.34032
Zhu, Deming; Xu, Min
1997
Degenerate bifurcations of nontwisted heterodimensional cycles with codimension 3. Zbl 1165.34026
Liu, Dan; Geng, Fengjie; Zhu, Deming
2008
Homoclinic bifurcation with nonhyperbolic equilibria. Zbl 1124.34025
Liu, Xingbo; Fu, Xianlong; Zhu, Deming
2007
A new existence result for impulsive dynamic equations on timescales. Zbl 1112.34308
Geng, Fengjie; Zhu, Deming; Lu, Qiuying
2007
Homoclinic bifurcation of orbit flip with resonant principal eigenvalues. Zbl 1106.37013
Zhang, Tiansi; Zhu, Deming
2006
Melnikov-type vectors and principal normals. Zbl 0812.34046
Zhu, Deming
1994
Melnikov vector and heteroclinic manifolds. Zbl 0812.34045
Zhu, Deming
1994
Homoclinic bifurcation with codimension 3. Zbl 0809.34062
Zhu, Deming
1994
The uniqueness of limit cycles bifurcating from a singular closed orbit. III. Zbl 0772.34028
Han, Maoan; Luo, Dingjun; Zhu, Deming
1992
Bifurcation of rough heteroclinic loop with orbit flips. Zbl 1258.34093
Liu, Xingbo; Wang, Zhenzhen; Zhu, Deming
2012
Bifurcations of multiple homoclinics in general dynamical systems. Zbl 1221.37108
Xu, Yancong; Zhu, Deming; Liu, Xingbo
2011
Codimension 2 bifurcations of double homoclinic loops. Zbl 1197.37065
Zhang, Weipeng; Zhu, Deming
2009
Codimension 3 non-resonant bifurcations of rough heteroclinic loops with one orbit flip. Zbl 1133.34026
Shui, Shuliang; Zhu, Deming
2006
Bifurcation of homoclinic orbits in fast variable space. Zbl 1016.34040
Zhu, Deming; Han, Maoan
2002
Global asymptotic stability for a nonlinear delay difference equation. Zbl 1013.39003
Li, Xianyi; Zhu, Deming
2002
Transversal heteroclinic orbits in general degenerate cases. Zbl 0862.34040
Zhu, Deming
1996
Degenerate bifurcations of heterodimensional cycles with orbit flip. Zbl 1270.34087
Liu, Xingbo; Liu, Junying; Zhu, Deming
2013
On the stability of homoclinic loops with higher dimension. Zbl 1254.34063
Liu, Xingbo; Zhu, Deming
2012
Dynamics of SEIS epidemic models with varying population size. Zbl 1145.34028
Hui, Jing; Zhu, De-Ming
2007
Codimension 3 bifurcations of homoclinic orbits with flips and inclination flips. Zbl 1066.37012
Shui, Shuliang; Zhu, Deming
2004
Invariant tori and subharmonic bifurcations from periodic manifolds. Zbl 0919.58051
Zhu, Deming; Han, Maoan
1998
Bifurcation theory and methods of dynamical systems. Zbl 0862.58041
Luo, Dingjun; Wang, Xian; Zhu, Deming; Han, Maoan
1995
Stability and uniqueness of periodic orbits produced during homoclinic bifurcation. Zbl 0839.34051
Zhu, Deming
1995
The uniqueness of limit cycles bifurcating from a singular closed orbit. II. Zbl 0772.34027
Han, Maoan; Luo, Dingjun; Zhu, Deming
1992
A general property of the quadratic differential systems. Zbl 0683.34018
Zhu, Deming
1989
Bifurcation of a heterodimensional cycle with weak inclination flip. Zbl 1271.34047
Qiao, Zhiqin; Zhu, Deming; Lu, Qiuying
2012
Nongeneric bifurcations near heterodimensional cycles with inclination flip in $$\mathbb{R}^4$$. Zbl 1257.34026
Liu, Dan; Ruan, Shigui; Zhu, Deming
2011
Homoclinic and heteroclinic orbits for near-integrable coupled nonlinear Schrödinger equations. Zbl 1211.34054
Deng, Guifeng; Zhu, Deming
2010
Bifurcation of degenerate homoclinic orbits to saddle-center in reversible systems. Zbl 1197.34067
Liu, Xingbo; Zhu, Deming
2008
Bifurcations of fine 3-point-loop in higher dimensional space. Zbl 1124.37012
Jin, Yinlai; Zhu, Deming
2005
Qualitative analysis of bobwhite quail population model. Zbl 1026.39004
Li, Xianyi; Zhu, Deming
2003
Zhu, Deming
1987
Weak type heterodimensional cycle bifurcation with orbit-flip. Zbl 1242.34081
Lu, QiuYing; Zhu, DeMing; Geng, FengJie
2011
Codimension 2 reversible heteroclinic bifurcations with inclination flips. Zbl 1187.37033
Xu, YanCong; Zhu, DeMing; Deng, GuiFeng
2009
Bifurcation of rough heteroclinic loop with orbit and inclination flips. Zbl 1167.34349
Qiao, Zhiqin; Lu, Qiuying; Zhu, Deming
2009
Codimension 3 nontwisted double homoclinic loops bifurcations with resonant eigenvalues. Zbl 1195.34058
Zhang, Weipeng; Zhu, Deming; Liu, Dan
2008
Bifurcations of double homoclinic flip orbits with resonant eigenvalues. Zbl 1231.37014
Zhang, Tian-Si; Zhu, De-Ming
2007
Bifurcation of homoclinic orbits with saddle-center equilibrium. Zbl 1127.34022
Liu, Xingbo; Fu, Xianlong; Zhu, Deming
2007
The rule of semicycle and global asymptotic stability for a fourth-order rational difference equation. Zbl 1082.39005
Li, Xianyi; Zhu, Deming
2005
Bifurcation of a generic homoclinic orbit accompanied with a transcritical bifurcation. Zbl 1125.34318
Liu, Xingbo; Zhu, Deming
2004
Twisted bifurcations and stability of homoclinic loop with higher dimensions. Zbl 1101.34026
Jin, Yinlai; Zhu, Deming
2004
Some properties of a kind of Lyness equation. Zbl 1048.39005
Li, Xianyi; Zhu, Deming; Xiao, Gongfu
2004
Global existence of positive periodic solutions for a distributed delay competition model. Zbl 1070.34090
Li, Xianyi; Zhu, Deming
2003
Behavior of solutions of certain recursions involving the maximum function. Zbl 1041.39005
Li, Xianyi; Zhu, Deming; Xiao, Gongfu
2003
Bifurcations of rough 3-point-loop with higher dimensions. Zbl 1070.37013
Jin, Yinlai; Zhu, Deming; Zheng, Qingyu
2003
Oscillation and nonoscillation for nonlinear neutral difference equations with continuous arguments. Zbl 1079.39008
Li, Xianyi; Zhu, Deming; Zhou, Yong; Deng, Guoyang
2002
Global attractivity of a kind of delay difference equations. Zbl 1011.39008
Li, Xianyi; Zhu, Deming; Jin, Yinlai
2002
Bifurcation of an invariant torus with strong resonance. Zbl 0862.58040
Han, Maoan; Zhu, Deming
1996
Global bifurcation in the Shil’nikov phenomenon with weak attractivity. Zbl 0811.58048
Zhu, Deming; Wang, Fujun
1994
A model of sexually transmitted diseases with emigration of population. Zbl 0769.92024
Wang, Fujun; Zhu, Deming
1993
Periodic solutions of forced Liénard equations. Zbl 0764.34036
Luo, Dingjun; Zhu, Deming; Han, Maoan
1992
Zhu, De-ming
1986
Degenerate bifurcations of heterodimensional cycles with orbit flip. Zbl 1270.34087
Liu, Xingbo; Liu, Junying; Zhu, Deming
2013
Stable periodic oscillations in a two-stage cancer model of tumor and immune system interactions. Zbl 1259.34028
Liu, Dan; Ruan, Shigui; Zhu, Deming
2012
Bifurcation of rough heteroclinic loop with orbit flips. Zbl 1258.34093
Liu, Xingbo; Wang, Zhenzhen; Zhu, Deming
2012
On the stability of homoclinic loops with higher dimension. Zbl 1254.34063
Liu, Xingbo; Zhu, Deming
2012
Bifurcation of a heterodimensional cycle with weak inclination flip. Zbl 1271.34047
Qiao, Zhiqin; Zhu, Deming; Lu, Qiuying
2012
Bifurcations of multiple homoclinics in general dynamical systems. Zbl 1221.37108
Xu, Yancong; Zhu, Deming; Liu, Xingbo
2011
Nongeneric bifurcations near heterodimensional cycles with inclination flip in $$\mathbb{R}^4$$. Zbl 1257.34026
Liu, Dan; Ruan, Shigui; Zhu, Deming
2011
Weak type heterodimensional cycle bifurcation with orbit-flip. Zbl 1242.34081
Lu, QiuYing; Zhu, DeMing; Geng, FengJie
2011
Bifurcations of heterodimensional cycles with one orbit flip and one inclination flip. Zbl 1189.70102
Xu, Yancong; Zhu, Deming
2010
Heterodimensional cycle bifurcation with orbit-flip. Zbl 1188.34044
Lu, Qiuying; Qiao, Zhiqin; Zhang, Tiansi; Zhu, Deming
2010
Bifurcation in delay differential systems with triple-zero singularity. Zbl 1224.34239
Qiao, Zhiqin; Liu, Xingbo; Zhu, Deming
2010
Homoclinic and heteroclinic orbits for near-integrable coupled nonlinear Schrödinger equations. Zbl 1211.34054
Deng, Guifeng; Zhu, Deming
2010
Bifurcations of heterodimensional cycles with two saddle points. Zbl 1197.37063
Geng, Fengjie; Zhu, Deming; Xu, Yancong
2009
Bifurcation analysis in models of tumor and immune system interactions. Zbl 1179.34047
Liu, Dan; Ruan, Shigui; Zhu, Deming
2009
Codimension 2 bifurcations of double homoclinic loops. Zbl 1197.37065
Zhang, Weipeng; Zhu, Deming
2009
Codimension 2 reversible heteroclinic bifurcations with inclination flips. Zbl 1187.37033
Xu, YanCong; Zhu, DeMing; Deng, GuiFeng
2009
Bifurcation of rough heteroclinic loop with orbit and inclination flips. Zbl 1167.34349
Qiao, Zhiqin; Lu, Qiuying; Zhu, Deming
2009
Periodic boundary value problems for first-order impulsive dynamic equations on time scales. Zbl 1165.34013
Geng, Fengjie; Xu, Yancong; Zhu, Deming
2008
Bifurcations of generic heteroclinic loop accompanied by transcritical bifurcation. Zbl 1147.34324
Geng, Fengjie; Liu, Dan; Zhu, Deming
2008
Periodicity in a ratio-dependent predator-prey system with stage-structured predator on time scales. Zbl 1142.34025
Zhang, Weipeng; Bi, Ping; Zhu, Deming
2008
Codimension 3 heteroclinic bifurcations with orbit and inclination flips in reversible systems. Zbl 1165.34358
Xu, Yancong; Zhu, Deming; Geng, Fengjie
2008
Degenerate bifurcations of nontwisted heterodimensional cycles with codimension 3. Zbl 1165.34026
Liu, Dan; Geng, Fengjie; Zhu, Deming
2008
Bifurcation of degenerate homoclinic orbits to saddle-center in reversible systems. Zbl 1197.34067
Liu, Xingbo; Zhu, Deming
2008
Codimension 3 nontwisted double homoclinic loops bifurcations with resonant eigenvalues. Zbl 1195.34058
Zhang, Weipeng; Zhu, Deming; Liu, Dan
2008
Multiple positive periodic solutions of a delayed discrete predator-prey system with type IV functional responses. Zbl 1142.39015
Zhang, Weipeng; Zhu, Deming; Bi, Ping
2007
Existence of periodic solutions of a scalar functional differential equation via a fixed point theorem. Zbl 1145.34041
Zhang, Weipeng; Zhu, Deming; Bi, Ping
2007
Multiple results of $$p$$-Laplacian dynamic equations on time scales. Zbl 1193.34182
Geng, Fengjie; Zhu, Deming
2007
Bifurcations of homoclinic orbit connecting two nonleading eigendirections. Zbl 1140.37346
Zhang, Tiansi; Zhu, Deming
2007
Homoclinic bifurcation with nonhyperbolic equilibria. Zbl 1124.34025
Liu, Xingbo; Fu, Xianlong; Zhu, Deming
2007
A new existence result for impulsive dynamic equations on timescales. Zbl 1112.34308
Geng, Fengjie; Zhu, Deming; Lu, Qiuying
2007
Dynamics of SEIS epidemic models with varying population size. Zbl 1145.34028
Hui, Jing; Zhu, De-Ming
2007
Bifurcations of double homoclinic flip orbits with resonant eigenvalues. Zbl 1231.37014
Zhang, Tian-Si; Zhu, De-Ming
2007
Bifurcation of homoclinic orbits with saddle-center equilibrium. Zbl 1127.34022
Liu, Xingbo; Fu, Xianlong; Zhu, Deming
2007
Dynamic complexities for prey-dependent consumption integrated pest management models with impulsive effects. Zbl 1095.92067
Hui, Jing; Zhu, Deming
2006
Global asymptotic stability of a higher order nonlinear difference equation. Zbl 1117.39005
Li, Zhi; Zhu, Deming
2006
Homoclinic bifurcation of orbit flip with resonant principal eigenvalues. Zbl 1106.37013
Zhang, Tiansi; Zhu, Deming
2006
Codimension 3 non-resonant bifurcations of rough heteroclinic loops with one orbit flip. Zbl 1133.34026
Shui, Shuliang; Zhu, Deming
2006
Global stability and periodicity of SIS epidemic models with backward bifurcation. Zbl 1078.92058
Hui, Jing; Zhu, Deming
2005
Codimension 3 nonresonant bifurcations of homoclinic orbits with two inclination flips. Zbl 1170.37325
Shui, Shuliang; Zhu, Deming
2005
Bifurcations of fine 3-point-loop in higher dimensional space. Zbl 1124.37012
Jin, Yinlai; Zhu, Deming
2005
The rule of semicycle and global asymptotic stability for a fourth-order rational difference equation. Zbl 1082.39005
Li, Xianyi; Zhu, Deming
2005
Global asymptotic stability for two recursive difference equations. Zbl 1044.39006
Li, Xianyi; Zhu, Deming
2004
Codimension 3 homoclinic bifurcation of orbit flip with resonant eigenvalues corresponding to the tangent directions. Zbl 1072.37041
Zhang, Tiansi; Zhu, Deming
2004
Two rational recursive sequences. Zbl 1072.39008
Li, Xianyi; Zhu, Deming
2004
Global asymptotic stability of a nonlinear recursive sequence. Zbl 1068.39014
Li, Xianyi; Zhu, Deming
2004
Codimension 3 bifurcations of homoclinic orbits with flips and inclination flips. Zbl 1066.37012
Shui, Shuliang; Zhu, Deming
2004
Bifurcation of a generic homoclinic orbit accompanied with a transcritical bifurcation. Zbl 1125.34318
Liu, Xingbo; Zhu, Deming
2004
Twisted bifurcations and stability of homoclinic loop with higher dimensions. Zbl 1101.34026
Jin, Yinlai; Zhu, Deming
2004
Some properties of a kind of Lyness equation. Zbl 1048.39005
Li, Xianyi; Zhu, Deming; Xiao, Gongfu
2004
Global asymptotic stability in a rational equation. Zbl 1055.39014
Li, Xianyi; Zhu, Deming
2003
Bifurcations of rough heteroclinic loop with two saddle points. Zbl 1215.37039
Jin, Yinlai; Zhu, Deming
2003
New results for the asymptotic behavior of a nonlinear second-order difference equation. Zbl 1049.39007
Li, Xianyi; Zhu, Deming
2003
Oscillation for advanced differential equations with oscillating coefficients. Zbl 1031.34066
Li, Xianyi; Zhu, Deming; Wang, Hanqing
2003
Qualitative analysis of bobwhite quail population model. Zbl 1026.39004
Li, Xianyi; Zhu, Deming
2003
Global existence of positive periodic solutions for a distributed delay competition model. Zbl 1070.34090
Li, Xianyi; Zhu, Deming
2003
Behavior of solutions of certain recursions involving the maximum function. Zbl 1041.39005
Li, Xianyi; Zhu, Deming; Xiao, Gongfu
2003
Bifurcations of rough 3-point-loop with higher dimensions. Zbl 1070.37013
Jin, Yinlai; Zhu, Deming; Zheng, Qingyu
2003
Oscillation and nonoscillation of advanced differential equations with variable coefficients. Zbl 1013.34067
Li, Xianyi; Zhu, Deming
2002
Bifurcations of rough heteroclinic loops with three saddle points. Zbl 1010.34037
Jin, Yin Lai; Zhu, De Ming
2002
Oscillation of advanced difference equations with variable coefficients. Zbl 1010.39001
Li, Xianyi; Zhu, Deming
2002
Bifurcation of homoclinic orbits in fast variable space. Zbl 1016.34040
Zhu, Deming; Han, Maoan
2002
Global asymptotic stability for a nonlinear delay difference equation. Zbl 1013.39003
Li, Xianyi; Zhu, Deming
2002
Oscillation and nonoscillation for nonlinear neutral difference equations with continuous arguments. Zbl 1079.39008
Li, Xianyi; Zhu, Deming; Zhou, Yong; Deng, Guoyang
2002
Global attractivity of a kind of delay difference equations. Zbl 1011.39008
Li, Xianyi; Zhu, Deming; Jin, Yinlai
2002
Degenerated homoclinic bifurcations with higher dimensions. Zbl 0974.37014
Jin, Yinlai; Zhu, Deming
2000
Bifurcations of nontwisted heteroclinic loop. Zbl 1120.37309
Tian, Qingping; Zhu, Deming
2000
Cyclicity of homoclinic loops and degenerate cubic Hamiltonians. Zbl 0959.34022
Han, Maoan; Ye, Yanqian; Zhu, Deming
1999
Bifurcations of heteroclinic loops. Zbl 0993.34040
Zhu, Deming; Xia, Zhihong
1998
Problems in homoclinic bifurcation with higher dimensions. Zbl 0932.37032
Zhu, Deming
1998
Invariant tori and subharmonic bifurcations from periodic manifolds. Zbl 0919.58051
Zhu, Deming; Han, Maoan
1998
Bifurcation theory and methods of dynamical systems. Zbl 0961.37015
Luo, Dingjun; Wang, Xian; Zhu, Deming; Han, Maoan
1997
Exponential trichotomy and heteroclinic bifurcations. Zbl 0877.34037
Zhu, Deming
1997
Exponential trichotomy, orthogonality condition and their application. Zbl 0992.34032
Zhu, Deming; Xu, Min
1997
Transversal heteroclinic orbits in general degenerate cases. Zbl 0862.34040
Zhu, Deming
1996
Bifurcation of an invariant torus with strong resonance. Zbl 0862.58040
Han, Maoan; Zhu, Deming
1996
Bifurcation theory and methods of dynamical systems. Zbl 0862.58041
Luo, Dingjun; Wang, Xian; Zhu, Deming; Han, Maoan
1995
Stability and uniqueness of periodic orbits produced during homoclinic bifurcation. Zbl 0839.34051
Zhu, Deming
1995
Melnikov-type vectors and principal normals. Zbl 0812.34046
Zhu, Deming
1994
Melnikov vector and heteroclinic manifolds. Zbl 0812.34045
Zhu, Deming
1994
Homoclinic bifurcation with codimension 3. Zbl 0809.34062
Zhu, Deming
1994
Global bifurcation in the Shil’nikov phenomenon with weak attractivity. Zbl 0811.58048
Zhu, Deming; Wang, Fujun
1994
A model of sexually transmitted diseases with emigration of population. Zbl 0769.92024
Wang, Fujun; Zhu, Deming
1993
The uniqueness of limit cycles bifurcating from a singular closed orbit. I. Zbl 0763.34018
Luo, Dingjun; Han, Maoan; Zhu, Deming
1992
The uniqueness of limit cycles bifurcating from a singular closed orbit. III. Zbl 0772.34028
Han, Maoan; Luo, Dingjun; Zhu, Deming
1992
The uniqueness of limit cycles bifurcating from a singular closed orbit. II. Zbl 0772.34027
Han, Maoan; Luo, Dingjun; Zhu, Deming
1992
Periodic solutions of forced Liénard equations. Zbl 0764.34036
Luo, Dingjun; Zhu, Deming; Han, Maoan
1992
A general property of the quadratic differential systems. Zbl 0683.34018
Zhu, Deming
1989
Zhu, Deming
1987
Existence of the limit cycle and global behavior of the solutions of Liénard equation. Zbl 0632.34025
Zhu, Deming
1986
Zhu, De-ming
1986
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#### Cited by 547 Authors

 42 Zhu, Deming 29 Han, Maoan 17 Chatzarakis, George E. 16 Li, Xianyi 15 Liu, Xingbo 14 Xu, Changjin 12 Geng, Fengjie 12 Zhang, Tonghua 10 Jin, Yinlai 10 Xu, Yancong 9 Meng, Xinzhu 9 Tian, Lixin 9 Zang, Hong 9 Zhang, Tiansi 9 Zhou, Jiangbo 8 Stavroulakis, Ioannis P. 7 Kang, Shin Min 7 Liao, Maoxin 7 Lu, Qiuying 7 Shen, Jianwei 7 Yang, Xiaofan 6 Deng, Guifeng 6 Li, Jibin 6 Liu, Zeqing 6 Xu, Wei 6 Zhang, Weipeng 5 Liu, Xia 5 Padhi, Seshadev 5 Sasu, Adina Luminiţa 5 Sasu, Bogdan 5 Sun, Taixiang 5 Tang, Xianhua 5 Wu, Yusen 5 Xi, Hongjian 5 Yalcinkaya, Ibrahim 5 Zhang, Tongqian 4 Anderson, Douglas Robert 4 Bi, Ping 4 Chen, Lansun 4 Çinar, Cengiz 4 Dai, Binxiang 4 Fan, Xinghua 4 Feng, Dahe 4 Jadlovská, Irena 4 Liu, Dan 4 Pinelas, Sandra 4 Stević, Stevo 4 Zafer, Ağacık 3 Arenas, Abraham J. 3 Berezansky, Leonid M. 3 Braverman, Elena 3 Chen, Wencheng 3 Chen, Yongzhuo 3 Goodrich, Christopher S. 3 Guan, Wen 3 Huang, Canyun 3 Jiang, Bo 3 Jiao, Jianjun 3 Jódar Sanchez, Lucas Antonio 3 Li, Peiluan 3 Li, Yongkun 3 Liu, Zhijun 3 Pati, Smita 3 Qiao, Zhiqin 3 Ruan, Shigui 3 Shao, Yuanfu 3 Srivastava, Shilpee 3 van Gorder, Robert Ashton 3 Wang, Changyou 3 Wang, Dabin 3 Yu, Pei 3 Zhao, Zhong 3 Zhou, Li 2 Algaba, Antonio 2 Amster, Pablo 2 Berenhaut, Kenneth S. 2 Bi, Qinsheng 2 Chen, Guanrong 2 Chen, Yiping 2 Chen, Yuming 2 Chung, Kwok-Wai 2 Dix, Julio G. 2 Dong, Yueping 2 Erdogan, M. Emre 2 Evans, David John 2 Fang, Hui 2 Fu, Xianlong 2 Gao, Yinghui 2 Güvenilir, Ayşe Feza 2 Hao, Meiying 2 He, Tianlan 2 Hong, Shihuang 2 Hui, Jing 2 Jiang, Jiao 2 Kwun, Young Chel 2 Li, Tiecheng 2 Li, Zhi 2 Lin, Dong-rong 2 Lin, Xiaobiao 2 Liu, Bing ...and 447 more Authors
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#### Cited in 87 Serials

 43 Applied Mathematics and Computation 29 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 27 Advances in Difference Equations 20 Chaos, Solitons and Fractals 19 Nonlinear Dynamics 18 Journal of Mathematical Analysis and Applications 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 Computers & Mathematics with Applications 15 Abstract and Applied Analysis 14 Discrete Dynamics in Nature and Society 11 Journal of Differential Equations 11 Applied Mathematics Letters 11 Journal of Applied Mathematics and Computing 10 Chinese Annals of Mathematics. Series B 9 European Journal of Operational Research 9 Journal of Difference Equations and Applications 9 Nonlinear Analysis. Real World Applications 8 Science in China. Series A 8 Acta Mathematica Sinica. English Series 5 Mathematical and Computer Modelling 5 Journal of Applied Mathematics 4 Applied Mathematics and Mechanics. (English Edition) 4 Communications in Nonlinear Science and Numerical Simulation 3 Rocky Mountain Journal of Mathematics 3 Applied Mathematical Modelling 3 Applied Mathematics. Series B (English Edition) 3 Opuscula Mathematica 3 Mathematical Problems in Engineering 3 Discrete and Continuous Dynamical Systems. Series B 3 Mediterranean Journal of Mathematics 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Computational and Applied Mathematics 2 Mathematische Nachrichten 2 Transactions of the American Mathematical Society 2 Acta Mathematica Sinica. New Series 2 Chaos 2 Boundary Value Problems 2 Computational & Mathematical Methods in Medicine 2 International Journal of Differential Equations 2 Journal of Theoretical Biology 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Journal of the Franklin Institute 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Physics Letters. A 1 Bulletin of Mathematical Biology 1 International Journal of Mathematics and Mathematical Sciences 1 Kodai Mathematical Journal 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Ricerche di Matematica 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Complexity 1 International Journal of Mathematics 1 Applications of Mathematics 1 Journal of Global Optimization 1 Aequationes Mathematicae 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Dynamics and Differential Equations 1 Archive of Applied Mechanics 1 Journal of Nonlinear Science 1 NoDEA. Nonlinear Differential Equations and Applications 1 Complexity 1 Discrete and Continuous Dynamical Systems 1 Arab Journal of Mathematical Sciences 1 Positivity 1 Journal of Inequalities and Applications 1 Journal of Biological Systems 1 Qualitative Theory of Dynamical Systems 1 Nonlinear Analysis. Modelling and Control 1 Dynamical Systems 1 Journal of Systems Science and Complexity 1 Iranian Journal of Science and Technology. Transaction A: Science 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 SIAM Journal on Applied Dynamical Systems 1 Central European Journal of Mathematics 1 Journal of Biological Dynamics 1 Nonlinear Oscillations 1 Nonlinear Analysis. Hybrid Systems 1 International Journal of Biomathematics 1 Science China. Mathematics 1 Journal of Mathematics and Computer Science. JMCS 1 ISRN Mathematical Analysis 1 Afrika Matematika 1 Arabian Journal of Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Open Mathematics
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#### Cited in 25 Fields

 248 Ordinary differential equations (34-XX) 118 Dynamical systems and ergodic theory (37-XX) 106 Difference and functional equations (39-XX) 94 Biology and other natural sciences (92-XX) 35 Partial differential equations (35-XX) 25 Operator theory (47-XX) 13 Numerical analysis (65-XX) 11 Systems theory; control (93-XX) 8 Operations research, mathematical programming (90-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Mechanics of particles and systems (70-XX) 3 Real functions (26-XX) 3 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Fluid mechanics (76-XX) 2 Sequences, series, summability (40-XX) 2 Functional analysis (46-XX) 2 Statistics (62-XX) 1 Number theory (11-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX)