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## Guo, Shangjiang

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 Author ID: guo.shangjiang Published as: Guo, S.; Guo, Shang Jiang; Guo, Shangjiang
 Documents Indexed: 134 Publications since 1996, including 1 Book Reviewing Activity: 33 Reviews
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#### Co-Authors

 10 single-authored 20 Huang, Lihong 12 Li, Shangzhi 12 Liu, Zhisu 6 Ma, Li 6 Wu, Jianhong 5 Gao, Jianping 5 Luo, Chaoliang 5 Zhang, Ling 4 Chen, Yuming 4 He, Yigang 4 Yan, Shuling 4 Zhang, Ziheng 4 Zou, Rong 3 Hou, Aiyu 3 Li, Dong 3 Man, Juanjuan 3 Qiu, Huanhuan 3 Sounvoravong, Bounsanong 3 Zhong, Xiaoyun 2 Chen, Fengde 2 Dai, Binxiang 2 Fang, Yanqin 2 Gu, Guangze 2 Lamb, Jeroen S. W. 2 Li, Dong 2 Meng, Yimin 2 Peng, Jian 2 Peng, Minfang 2 Wang, Lin 2 Wang, Yizhuo 2 Yuan, Yuan 2 Zhu, Yusen 2 Zimmer, Johannes 1 Bai, Yuzhen 1 Chen, Anping 1 Chen, Ting 1 Deng, Xijun 1 He, Xiaolong 1 Jiang, Can 1 Jiang, Yuzhu 1 Li, Haijiao 1 Li, Jie 1 Li, Jie 1 Li, Xinping 1 Li, Zhong 1 Liu, Changfeng 1 Lu, Xuwen 1 Prudence Marthange, Yagbanga Niella 1 Qian, Xiangzheng 1 Rink, Bob W. 1 Shahidehpour, Mohammad 1 Shen, Wenxian 1 Tang, Xianhua 1 Tse, Chi Kong 1 Wang, Hongyong 1 Wang, Lianhua 1 Wei, Dan 1 Xiao, Ke 1 Ying, Jinyong 1 Zhang, Ping 1 Zhang, Zhengqiu 1 Zhang, Zhongzhi 1 Zhao, Yueyu
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#### Serials

 15 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 10 Discrete and Continuous Dynamical Systems. Series B 9 Nonlinear Analysis. Real World Applications 8 Journal of Differential Equations 6 Mathematical Methods in the Applied Sciences 5 Journal of Mathematical Analysis and Applications 5 Applied Mathematics and Computation 5 Applied Mathematics Letters 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Computers & Mathematics with Applications 4 Nonlinearity 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Electronic Journal of Differential Equations (EJDE) 4 Nonlinear Dynamics 3 Proceedings of the American Mathematical Society 3 Electronic Journal of Qualitative Theory of Differential Equations 2 IMA Journal of Applied Mathematics 2 Physics Letters. A 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Physica D 2 Journal of Hunan University. Natural Sciences 2 Acta Mathematica Sinica. English Series 1 Journal of Mathematical Physics 1 Journal of Computational and Applied Mathematics 1 Journal of the Korean Mathematical Society 1 Mathematische Nachrichten 1 Soochow Journal of Mathematics 1 Acta Mathematicae Applicatae Sinica 1 Stochastic Analysis and Applications 1 Annals of Differential Equations 1 Neural Networks 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Nonlinear Science 1 Pure and Applied Mathematics 1 Differential Equations and Dynamical Systems 1 Taiwanese Journal of Mathematics 1 Mathematical Sciences Research Hot-Line 1 Communications in Nonlinear Science and Numerical Simulation 1 Communications on Pure and Applied Analysis 1 Applied Mathematical Sciences 1 International Journal of Qualitative Theory of Differential Equations and Applications 1 Journal of Applied Analysis and Computation 1 Journal of Shanghai Normal University. Natural Sciences
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#### Fields

 77 Biology and other natural sciences (92-XX) 67 Ordinary differential equations (34-XX) 56 Partial differential equations (35-XX) 13 Dynamical systems and ergodic theory (37-XX) 6 Operator theory (47-XX) 5 Probability theory and stochastic processes (60-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Computer science (68-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

106 Publications have been cited 1,111 times in 620 Documents Cited by Year
Hopf bifurcating periodic orbits in a ring of neurons with delays. Zbl 1041.68079
Guo, Shangjiang; Huang, Lihong
2003
Stability and bifurcation in a reaction-diffusion model with nonlocal delay effect. Zbl 1323.35082
Guo, Shangjiang
2015
Bifurcation theory of functional differential equations. Zbl 1316.34003
Guo, Shangjiang; Wu, Jianhong
2013
Two-parameter bifurcations in a network of two neurons with multiple delays. Zbl 1136.34058
Guo, Shangjiang; Chen, Yuming; Wu, Jianhong
2008
Hopf bifurcation in a diffusive Lotka-Volterra type system with nonlocal delay effect. Zbl 1330.35029
Guo, Shangjiang; Yan, Shuling
2016
Existence and concentration of positive ground states for a Kirchhoff equation involving critical Sobolev exponent. Zbl 1323.35040
Liu, Zhisu; Guo, Shangjiang
2015
Global existence of periodic solutions of BAM neural networks with variable coefficients. Zbl 1046.68090
Guo, Shangjiang; Huang, Lihong; Dai, Binxiang; Zhang, Zhongzhi
2003
On ground state solutions for the Schrödinger-Poisson equations with critical growth. Zbl 1312.35059
Liu, Zhisu; Guo, Shangjiang
2014
Stability and bifurcation in a delayed reaction-diffusion equation with Dirichlet boundary condition. Zbl 1335.35120
Guo, Shangjiang; Ma, Li
2016
Equivariant Hopf bifurcation for neutral functional differential equations. Zbl 1149.34045
Guo, Shangjiang; Lamb, Jeroen S. W.
2008
Linear stability and Hopf bifurcation in a two-neuron network with three delays. Zbl 1062.34078
Guo, Shangjiang; Huang, Lihong; Wang, Lin
2004
Stability of nonlinear waves in a ring of neurons with delays. Zbl 1132.34048
Guo, Shangjiang; Huang, Lihong
2007
Existence of positive ground state solutions for Kirchhoff type problems. Zbl 1318.35121
Liu, Zhisu; Guo, Shangjiang
2015
Stability and bifurcation in a discrete system of two neurons with delays. Zbl 1154.37381
Guo, Shangjiang; Tang, Xianhua; Huang, Lihong
2008
On ground states for the Kirchhoff-type problem with a general critical nonlinearity. Zbl 1312.35109
Liu, Zhisu; Guo, Shangjiang
2015
Spatio-temporal patterns in a diffusive model with non-local delay effect. Zbl 1404.35036
Guo, Shangjiang
2017
Spatio-temporal patterns of nonlinear oscillations in an excitatory ring network with delay. Zbl 1093.34036
Guo, Shangjiang
2005
Periodic oscillation for a class of neural networks with variable coefficients. Zbl 1080.34051
Guo, Shangjiang; Huang, Lihong
2005
Bifurcation and spatio-temporal patterns in a diffusive predator-prey system. Zbl 06889446
Guo, Shangjiang
2018
Positive solutions for asymptotically linear Schrödinger-Kirchhoff-type equations. Zbl 1290.35101
Liu, Zhisu; Guo, Shangjiang
2014
Periodic solutions in an inhibitory two-neuron network. Zbl 1044.34034
Guo, Shangjiang; Huang, Lihong
2003
Stability of travelling wavefronts in discrete reaction-diffusion equations with nonlocal delay effects. Zbl 1325.35097
Guo, Shangjiang; Zimmer, Johannes
2015
Hopf bifurcation in delayed van der Pol oscillators. Zbl 1268.34077
Zhang, Ling; Guo, Shangjiang
2013
Exponential stability of discrete-time Hopfield neural networks. Zbl 1075.34070
Guo, Shangjiang; Huang, Lihong; Wang, Lin
2004
Patterns in a nonlocal time-delayed reaction-diffusion equation. Zbl 06858251
Guo, Shangjiang
2018
Bifurcation phenomena in a Lotka-Volterra model with cross-diffusion and delay effect. Zbl 1370.35259
Yan, Shuling; Guo, Shangjiang
2017
Exact dynamic stiffness matrix of a bending-torsion coupled beam including warping. Zbl 0918.73171
Banerjee, J. R.; Guo, S.; Howson, W. P.
1996
Stability and bifurcation in a predator-prey system with prey-taxis. Zbl 1435.35395
Qiu, Huanhuan; Guo, Shangjiang; Li, Shangzhi
2020
Stability and Hopf bifurcation in a Hutchinson model. Zbl 1428.35034
Li, Shangzhi; Guo, Shangjiang
2020
Periodic oscillation for discrete-time Hopfield neural networks. Zbl 1209.82029
Guo, Shangjiang; Huang, Lihong
2004
Bifurcation of reaction cross-diffusion systems. Zbl 1366.35089
Zou, Rong; Guo, Shangjiang
2017
Pattern formation and continuation in a trineuron ring with delays. Zbl 1132.34051
Guo, Shang Jiang; Huang, Li Hong
2007
Stability analysis of a stage structure model with spatiotemporal delay effect. Zbl 1368.92164
Yan, Shuling; Guo, Shangjiang
2017
Multiple semiclassical states for coupled Schrödinger-Poisson equations with critical exponential growth. Zbl 1311.81117
Liu, Zhisu; Guo, Shangjiang; Fang, Yanqin
2015
Existence and multiplicity of solutions for a class of sublinear Schrödinger-Maxwell equations. Zbl 1280.35138
Liu, Zhisu; Guo, Shangjiang; Zhang, Ziheng
2013
Linear stability and Hopf bifurcation in a delayed two-coupled oscillator with excitatory-to-inhibitory connection. Zbl 1205.34107
Jiang, Yuzhu; Guo, Shangjiang
2010
Dynamics of a diffusive Leslie-Gower predator-prey model in spatially heterogeneous environment. Zbl 1453.92281
Zou, Rong; Guo, Shangjiang
2020
Patterns in a modified Leslie-Gower model with Beddington-DeAngelis functional response and nonlocal prey competition. Zbl 1446.35220
Gao, Jianping; Guo, Shangjiang
2020
Global existence and stability in a two-species chemotaxis system. Zbl 1415.92040
Qiu, Huanhuan; Guo, Shangjiang
2019
Dynamics of a Lotka-Volterra competition-diffusion model with stage structure and spatial heterogeneity. Zbl 1396.92076
Yan, Shuling; Guo, Shangjiang
2018
Bifurcation and stability of a Mimura-Tsujikawa model with nonlocal delay effect. Zbl 1370.35041
Li, Dong; Guo, Shangjiang
2017
Center manifolds theorem for parameterized delay differential equations with applications to zero singularities. Zbl 1365.34123
Guo, Shangjiang; Man, Juanjuan
2011
Nonlinear waves in a ring of neurons. Zbl 1117.37042
Guo, Shangjiang; Huang, Lihong
2006
Traveling wavefronts in a reaction-diffusion model with chemotaxis and nonlocal delay effect. Zbl 1415.35080
Li, Dong; Guo, Shangjiang
2019
Dynamics in a diffusive predator-prey system with ratio-dependent predator influence. Zbl 1409.92218
Zou, Rong; Guo, Shangjiang
2018
Stability of stochastic SIRS epidemic models with saturated incidence rates and delay. Zbl 1361.34096
Zhong, Xiaoyun; Guo, Shangjiang; Peng, Minfang
2017
Equivariant normal forms for parameterized delay differential equations with applications to bifurcation theory. Zbl 1334.34154
Guo, Shang Jiang; Chen, Yu Ming; Wu, Jian Hong
2012
Synchronous dynamics of two coupled oscillators with inhibitory-to-inhibitory connection. Zbl 1222.34088
Peng, Jian; Guo, Shangjiang
2010
Synchronization for two coupled oscillators with inhibitory connection. Zbl 1187.92007
Xiao, Ke; Guo, Shangjiang
2010
Dynamics of a delayed two-coupled oscillator with excitatory-to-excitatory connection. Zbl 1210.34117
Zhang, Ping; Guo, Shangjiang; He, Yigang
2010
Branching patterns of wave trains in the FPU lattice. Zbl 1163.34044
Guo, Shangjiang; Lamb, Jeroen S. W.; Rink, Bob W.
2009
Global continuation of nonlinear waves in a ring of neurons. Zbl 1095.34050
Guo, Shangjiang; Huang, Lihong
2005
Regular dynamics in a delayed network of two neurons with all-or-none activation functions. Zbl 1081.34069
Guo, Shangjiang; Huang, Lihong; Wu, Jianhong
2005
Hopf bifurcation for semilinear FDEs in general Banach spaces. Zbl 1447.35038
Li, Shangzhi; Guo, Shangjiang
2020
Bifurcation and stability of a two-species diffusive Lotka-Volterra model. Zbl 1436.35230
Ma, Li; Guo, Shangjiang
2020
Periodic traveling waves in a reaction-diffusion model with chemotaxis and nonlocal delay effect. Zbl 1397.35059
Li, Dong; Guo, Shangjiang
2018
Stability and Hopf bifurcation in van der Pol oscillators with state-dependent delayed feedback. Zbl 1331.34140
Hou, Aiyu; Guo, Shangjiang
2015
Patterns in hierarchical networks of neuronal oscillators with $$\mathbb D_3\times \mathbb Z_3$$ symmetry. Zbl 1279.34085
Guo, Shangjiang; Man, Juanjuan
2013
Equivariant normal forms for neutral functional differential equations. Zbl 1204.34093
Guo, Shangjiang
2010
Pattern formation in a ring network with delay. Zbl 1194.34136
Guo, Shangjiang; Yuan, Yuan
2009
Convergence dynamics of Cohen-Grossberg neural networks with continuously distributed delays. Zbl 1158.34048
Meng, Yimin; Guo, Shangjiang; Huang, Lihong
2008
Stationary solutions of advective Lotka-Volterra models with a weak Allee effect and large diffusion. Zbl 1451.35022
Wang, Hong-Yong; Guo, Shangjiang; Li, Shangzhi
2020
On the stability of reaction-diffusion models with nonlocal delay effect and nonlinear boundary condition. Zbl 1448.35300
Guo, Shangjiang; Li, Shangzhi
2020
Steady-states of a Leslie-Gower model with diffusion and advection. Zbl 1428.35160
Qiu, Huanhuan; Guo, Shangjiang
2019
Bifurcation and stability of a diffusive SIRS epidemic model with time delay. Zbl 1418.35159
Sounvoravong, Bounsanong; Guo, Shangjiang; Bai, Yuzhen
2019
Stability and Hopf bifurcation in a reaction-diffusion model with chemotaxis and nonlocal delay effect. Zbl 1390.35378
Li, Dong; Guo, Shangjiang
2018
Dynamics of a nonlocal dispersal model with a nonlocal reaction term. Zbl 1388.35198
Ma, Li; Guo, Shangjiang; Chen, Ting
2018
Slowly oscillating periodic solutions for a nonlinear second order differential equation with state-dependent delay. Zbl 1372.34111
Zhang, Ling; Guo, Shangjiang
2017
Homoclinic orbits for the second-order Hamiltonian systems. Zbl 1365.37052
Liu, Zhisu; Guo, Shangjiang; Zhang, Ziheng
2017
Positive solutions of Kirchhoff type elliptic equations in $$\mathbb{R}^4$$ with critical growth. Zbl 1360.35074
Liu, Zhisu; Guo, Shangjiang; Fang, Yanqin
2017
Existence of ground state solutions for the Schrödinger-Poisson systems. Zbl 1335.35051
Liu, Zhisu; Guo, Shangjiang; Zhang, Ziheng
2014
Existence and multiplicity of wave trains in 2D lattices. Zbl 1318.34020
Zhang, Ling; Guo, Shangjiang
2014
Propagation of elastic waves through a lattice of cylindrical cavities. Zbl 1301.74028
Guo, S.; McIver, P.
2011
Equivariant Hopf bifurcation for functional differential equations of mixed type. Zbl 1263.34100
Guo, Shangjiang
2011
Global attractivity of a generalized Lotka-Volterra competition model. Zbl 1216.34082
Chen, Fengde; Chen, Yuming; Guo, Shangjiang; Li, Zhong
2010
Piezoelectromagnetic waves guided by the surface of a ceramic cylinder. Zbl 1096.74035
Yang, J.; Guo, S.
2006
Dynamics of a two-species stage-structured model incorporating state-dependent maturation delays. Zbl 1366.34112
Li, Shangzhi; Guo, Shangjiang
2017
Stability and bifurcation in a diffusive Lotka-Volterra system with delay. Zbl 1443.92162
Ma, Li; Guo, Shangjiang
2016
Stability and bifurcation in a state-dependent delayed predator-prey system. Zbl 1338.34159
Hou, Aiyu; Guo, Shangjiang
2016
Multiple periodic solutions in a delay-coupled system of neural oscillators. Zbl 1251.34089
Ying, Jinyong; Guo, Shangjiang; He, Yigang
2011
Delay-induced primary rhythmic behavior in a two-layer neural network. Zbl 1217.92009
Guo, Shangjiang; Yuan, Yuan
2011
Global attractivity of a synchronized periodic orbit in a delayed network. Zbl 1032.34070
Guo, Shangjiang; Huang, Lihong; Wu, Jianhong
2003
Global dynamics and spatio-temporal patterns in a two-species chemotaxis system with two chemicals. Zbl 07349792
Gao, Jianping; Guo, Shangjiang
2021
A SIS reaction-diffusion model with a free boundary condition and nonhomogeneous coefficients. Zbl 1408.35086
Wang, Yizhuo; Guo, Shangjiang
2019
Slowly oscillating periodic solutions for the Nicholson’s blowflies equation with state-dependent delay. Zbl 1400.34109
Zhang, Ling; Guo, Shangjiang
2017
Dynamics of a SIRC epidemiological model. Zbl 1370.34105
Li, Haijiao; Guo, Shangjiang
2017
Stability and bifurcation of two-dimensional stochastic differential equations with multiplicative excitations. Zbl 1365.34103
Luo, Chaoliang; Guo, Shangjiang
2017
Multiplicity results for nonlinear Schrödinger-Poisson systems with subcritical or critical growth. Zbl 1344.35030
Guo, Shangjiang; Liu, Zhisu
2016
Effects of short-cut in a delayed ring network. Zbl 1270.34189
Man, Juanjuan; Guo, Shangjiang; He, Yigang
2012
Synchronization and bifurcation in limit cycle oscillators with delayed couplings. Zbl 1258.34150
Peng, Jian; Wang, Lianhua; Zhao, Yueyu; Guo, Shangjiang
2011
Dynamics in time-delay recurrently coupled oscillators. Zbl 1215.34101
Jiang, Can; Guo, Shangjiang; He, Yigang
2011
Periodic oscillation for a three-neuron network with delays. Zbl 1056.34067
Zhang, Zhengqiu; Guo, Shangjiang
2003
Convergence and periodicity in a delayed network of neurons with threshold nonlinearity. Zbl 1054.34112
Guo, Shangjiang; Huang, Lihong; Wu, Jianhong
2003
Pointwise estimates for Bernstein-type operators. Zbl 0931.41006
Guo, S.; Qi, Q.
1999
Bifurcation and stability of a two-species reaction-diffusion-advection competition model. Zbl 07347887
Ma, Li; Guo, Shangjiang
2021
Bifurcation in a reaction-diffusion model with nonlocal delay effect and nonlinear boundary condition. Zbl 07346913
Guo, Shangjiang
2021
Oscillatory and stationary patterns in a diffusive model with delay effect. Zbl 07331747
Guo, Shangjiang; Li, Shangzhi; Sounvoravong, Bounsanong
2021
Bifurcation analysis of a diffusive predator-prey system with nonmonotonic functional response. Zbl 1422.92130
Sounvoravong, Bounsanong; Gao, Jianping; Guo, Shangjiang
2018
Effect of prey-taxis and diffusion on positive steady states for a predator-prey system. Zbl 1398.35250
Gao, Jianping; Guo, Shangjiang
2018
Generalized Hopf bifurcation for neutral functional differential equations. Zbl 1357.34120
Guo, Shangjiang
2016
Global dynamics and spatio-temporal patterns in a two-species chemotaxis system with two chemicals. Zbl 07349792
Gao, Jianping; Guo, Shangjiang
2021
Bifurcation and stability of a two-species reaction-diffusion-advection competition model. Zbl 07347887
Ma, Li; Guo, Shangjiang
2021
Bifurcation in a reaction-diffusion model with nonlocal delay effect and nonlinear boundary condition. Zbl 07346913
Guo, Shangjiang
2021
Oscillatory and stationary patterns in a diffusive model with delay effect. Zbl 07331747
Guo, Shangjiang; Li, Shangzhi; Sounvoravong, Bounsanong
2021
Stability and bifurcation in a predator-prey system with prey-taxis. Zbl 1435.35395
Qiu, Huanhuan; Guo, Shangjiang; Li, Shangzhi
2020
Stability and Hopf bifurcation in a Hutchinson model. Zbl 1428.35034
Li, Shangzhi; Guo, Shangjiang
2020
Dynamics of a diffusive Leslie-Gower predator-prey model in spatially heterogeneous environment. Zbl 1453.92281
Zou, Rong; Guo, Shangjiang
2020
Patterns in a modified Leslie-Gower model with Beddington-DeAngelis functional response and nonlocal prey competition. Zbl 1446.35220
Gao, Jianping; Guo, Shangjiang
2020
Hopf bifurcation for semilinear FDEs in general Banach spaces. Zbl 1447.35038
Li, Shangzhi; Guo, Shangjiang
2020
Bifurcation and stability of a two-species diffusive Lotka-Volterra model. Zbl 1436.35230
Ma, Li; Guo, Shangjiang
2020
Stationary solutions of advective Lotka-Volterra models with a weak Allee effect and large diffusion. Zbl 1451.35022
Wang, Hong-Yong; Guo, Shangjiang; Li, Shangzhi
2020
On the stability of reaction-diffusion models with nonlocal delay effect and nonlinear boundary condition. Zbl 1448.35300
Guo, Shangjiang; Li, Shangzhi
2020
Global existence and stability in a two-species chemotaxis system. Zbl 1415.92040
Qiu, Huanhuan; Guo, Shangjiang
2019
Traveling wavefronts in a reaction-diffusion model with chemotaxis and nonlocal delay effect. Zbl 1415.35080
Li, Dong; Guo, Shangjiang
2019
Steady-states of a Leslie-Gower model with diffusion and advection. Zbl 1428.35160
Qiu, Huanhuan; Guo, Shangjiang
2019
Bifurcation and stability of a diffusive SIRS epidemic model with time delay. Zbl 1418.35159
Sounvoravong, Bounsanong; Guo, Shangjiang; Bai, Yuzhen
2019
A SIS reaction-diffusion model with a free boundary condition and nonhomogeneous coefficients. Zbl 1408.35086
Wang, Yizhuo; Guo, Shangjiang
2019
Bifurcation and spatio-temporal patterns in a diffusive predator-prey system. Zbl 06889446
Guo, Shangjiang
2018
Patterns in a nonlocal time-delayed reaction-diffusion equation. Zbl 06858251
Guo, Shangjiang
2018
Dynamics of a Lotka-Volterra competition-diffusion model with stage structure and spatial heterogeneity. Zbl 1396.92076
Yan, Shuling; Guo, Shangjiang
2018
Dynamics in a diffusive predator-prey system with ratio-dependent predator influence. Zbl 1409.92218
Zou, Rong; Guo, Shangjiang
2018
Periodic traveling waves in a reaction-diffusion model with chemotaxis and nonlocal delay effect. Zbl 1397.35059
Li, Dong; Guo, Shangjiang
2018
Stability and Hopf bifurcation in a reaction-diffusion model with chemotaxis and nonlocal delay effect. Zbl 1390.35378
Li, Dong; Guo, Shangjiang
2018
Dynamics of a nonlocal dispersal model with a nonlocal reaction term. Zbl 1388.35198
Ma, Li; Guo, Shangjiang; Chen, Ting
2018
Bifurcation analysis of a diffusive predator-prey system with nonmonotonic functional response. Zbl 1422.92130
Sounvoravong, Bounsanong; Gao, Jianping; Guo, Shangjiang
2018
Effect of prey-taxis and diffusion on positive steady states for a predator-prey system. Zbl 1398.35250
Gao, Jianping; Guo, Shangjiang
2018
Spatio-temporal patterns in a diffusive model with non-local delay effect. Zbl 1404.35036
Guo, Shangjiang
2017
Bifurcation phenomena in a Lotka-Volterra model with cross-diffusion and delay effect. Zbl 1370.35259
Yan, Shuling; Guo, Shangjiang
2017
Bifurcation of reaction cross-diffusion systems. Zbl 1366.35089
Zou, Rong; Guo, Shangjiang
2017
Stability analysis of a stage structure model with spatiotemporal delay effect. Zbl 1368.92164
Yan, Shuling; Guo, Shangjiang
2017
Bifurcation and stability of a Mimura-Tsujikawa model with nonlocal delay effect. Zbl 1370.35041
Li, Dong; Guo, Shangjiang
2017
Stability of stochastic SIRS epidemic models with saturated incidence rates and delay. Zbl 1361.34096
Zhong, Xiaoyun; Guo, Shangjiang; Peng, Minfang
2017
Slowly oscillating periodic solutions for a nonlinear second order differential equation with state-dependent delay. Zbl 1372.34111
Zhang, Ling; Guo, Shangjiang
2017
Homoclinic orbits for the second-order Hamiltonian systems. Zbl 1365.37052
Liu, Zhisu; Guo, Shangjiang; Zhang, Ziheng
2017
Positive solutions of Kirchhoff type elliptic equations in $$\mathbb{R}^4$$ with critical growth. Zbl 1360.35074
Liu, Zhisu; Guo, Shangjiang; Fang, Yanqin
2017
Dynamics of a two-species stage-structured model incorporating state-dependent maturation delays. Zbl 1366.34112
Li, Shangzhi; Guo, Shangjiang
2017
Slowly oscillating periodic solutions for the Nicholson’s blowflies equation with state-dependent delay. Zbl 1400.34109
Zhang, Ling; Guo, Shangjiang
2017
Dynamics of a SIRC epidemiological model. Zbl 1370.34105
Li, Haijiao; Guo, Shangjiang
2017
Stability and bifurcation of two-dimensional stochastic differential equations with multiplicative excitations. Zbl 1365.34103
Luo, Chaoliang; Guo, Shangjiang
2017
Hopf bifurcation in a diffusive Lotka-Volterra type system with nonlocal delay effect. Zbl 1330.35029
Guo, Shangjiang; Yan, Shuling
2016
Stability and bifurcation in a delayed reaction-diffusion equation with Dirichlet boundary condition. Zbl 1335.35120
Guo, Shangjiang; Ma, Li
2016
Stability and bifurcation in a diffusive Lotka-Volterra system with delay. Zbl 1443.92162
Ma, Li; Guo, Shangjiang
2016
Stability and bifurcation in a state-dependent delayed predator-prey system. Zbl 1338.34159
Hou, Aiyu; Guo, Shangjiang
2016
Multiplicity results for nonlinear Schrödinger-Poisson systems with subcritical or critical growth. Zbl 1344.35030
Guo, Shangjiang; Liu, Zhisu
2016
Generalized Hopf bifurcation for neutral functional differential equations. Zbl 1357.34120
Guo, Shangjiang
2016
Existence and stability of mild solutions to parabolic stochastic partial differential equations driven by Lévy space-time noise. Zbl 1363.60087
Luo, Chaoliang; Guo, Shangjiang
2016
Stability and bifurcation in a reaction-diffusion model with nonlocal delay effect. Zbl 1323.35082
Guo, Shangjiang
2015
Existence and concentration of positive ground states for a Kirchhoff equation involving critical Sobolev exponent. Zbl 1323.35040
Liu, Zhisu; Guo, Shangjiang
2015
Existence of positive ground state solutions for Kirchhoff type problems. Zbl 1318.35121
Liu, Zhisu; Guo, Shangjiang
2015
On ground states for the Kirchhoff-type problem with a general critical nonlinearity. Zbl 1312.35109
Liu, Zhisu; Guo, Shangjiang
2015
Stability of travelling wavefronts in discrete reaction-diffusion equations with nonlocal delay effects. Zbl 1325.35097
Guo, Shangjiang; Zimmer, Johannes
2015
Multiple semiclassical states for coupled Schrödinger-Poisson equations with critical exponential growth. Zbl 1311.81117
Liu, Zhisu; Guo, Shangjiang; Fang, Yanqin
2015
Stability and Hopf bifurcation in van der Pol oscillators with state-dependent delayed feedback. Zbl 1331.34140
Hou, Aiyu; Guo, Shangjiang
2015
On ground state solutions for the Schrödinger-Poisson equations with critical growth. Zbl 1312.35059
Liu, Zhisu; Guo, Shangjiang
2014
Positive solutions for asymptotically linear Schrödinger-Kirchhoff-type equations. Zbl 1290.35101
Liu, Zhisu; Guo, Shangjiang
2014
Existence of ground state solutions for the Schrödinger-Poisson systems. Zbl 1335.35051
Liu, Zhisu; Guo, Shangjiang; Zhang, Ziheng
2014
Existence and multiplicity of wave trains in 2D lattices. Zbl 1318.34020
Zhang, Ling; Guo, Shangjiang
2014
Bifurcation theory of functional differential equations. Zbl 1316.34003
Guo, Shangjiang; Wu, Jianhong
2013
Hopf bifurcation in delayed van der Pol oscillators. Zbl 1268.34077
Zhang, Ling; Guo, Shangjiang
2013
Existence and multiplicity of solutions for a class of sublinear Schrödinger-Maxwell equations. Zbl 1280.35138
Liu, Zhisu; Guo, Shangjiang; Zhang, Ziheng
2013
Patterns in hierarchical networks of neuronal oscillators with $$\mathbb D_3\times \mathbb Z_3$$ symmetry. Zbl 1279.34085
Guo, Shangjiang; Man, Juanjuan
2013
Existence of homoclinic travelling waves in infinite lattices. Zbl 1303.37031
Liu, Zhisu; Guo, Shangjiang; Zhang, Ziheng
2013
Zero singularities in a ring network with two delays. Zbl 1284.34109
Guo, Shangjiang
2013
Equivariant normal forms for parameterized delay differential equations with applications to bifurcation theory. Zbl 1334.34154
Guo, Shang Jiang; Chen, Yu Ming; Wu, Jian Hong
2012
Effects of short-cut in a delayed ring network. Zbl 1270.34189
Man, Juanjuan; Guo, Shangjiang; He, Yigang
2012
Center manifolds theorem for parameterized delay differential equations with applications to zero singularities. Zbl 1365.34123
Guo, Shangjiang; Man, Juanjuan
2011
Propagation of elastic waves through a lattice of cylindrical cavities. Zbl 1301.74028
Guo, S.; McIver, P.
2011
Equivariant Hopf bifurcation for functional differential equations of mixed type. Zbl 1263.34100
Guo, Shangjiang
2011
Multiple periodic solutions in a delay-coupled system of neural oscillators. Zbl 1251.34089
Ying, Jinyong; Guo, Shangjiang; He, Yigang
2011
Delay-induced primary rhythmic behavior in a two-layer neural network. Zbl 1217.92009
Guo, Shangjiang; Yuan, Yuan
2011
Synchronization and bifurcation in limit cycle oscillators with delayed couplings. Zbl 1258.34150
Peng, Jian; Wang, Lianhua; Zhao, Yueyu; Guo, Shangjiang
2011
Dynamics in time-delay recurrently coupled oscillators. Zbl 1215.34101
Jiang, Can; Guo, Shangjiang; He, Yigang
2011
Linear stability and Hopf bifurcation in a delayed two-coupled oscillator with excitatory-to-inhibitory connection. Zbl 1205.34107
Jiang, Yuzhu; Guo, Shangjiang
2010
Synchronous dynamics of two coupled oscillators with inhibitory-to-inhibitory connection. Zbl 1222.34088
Peng, Jian; Guo, Shangjiang
2010
Synchronization for two coupled oscillators with inhibitory connection. Zbl 1187.92007
Xiao, Ke; Guo, Shangjiang
2010
Dynamics of a delayed two-coupled oscillator with excitatory-to-excitatory connection. Zbl 1210.34117
Zhang, Ping; Guo, Shangjiang; He, Yigang
2010
Equivariant normal forms for neutral functional differential equations. Zbl 1204.34093
Guo, Shangjiang
2010
Global attractivity of a generalized Lotka-Volterra competition model. Zbl 1216.34082
Chen, Fengde; Chen, Yuming; Guo, Shangjiang; Li, Zhong
2010
Branching patterns of wave trains in the FPU lattice. Zbl 1163.34044
Guo, Shangjiang; Lamb, Jeroen S. W.; Rink, Bob W.
2009
Pattern formation in a ring network with delay. Zbl 1194.34136
Guo, Shangjiang; Yuan, Yuan
2009
Two-parameter bifurcations in a network of two neurons with multiple delays. Zbl 1136.34058
Guo, Shangjiang; Chen, Yuming; Wu, Jianhong
2008
Equivariant Hopf bifurcation for neutral functional differential equations. Zbl 1149.34045
Guo, Shangjiang; Lamb, Jeroen S. W.
2008
Stability and bifurcation in a discrete system of two neurons with delays. Zbl 1154.37381
Guo, Shangjiang; Tang, Xianhua; Huang, Lihong
2008
Convergence dynamics of Cohen-Grossberg neural networks with continuously distributed delays. Zbl 1158.34048
Meng, Yimin; Guo, Shangjiang; Huang, Lihong
2008
Complete classification and stability of equilibria in a delayed ring network. Zbl 1170.34351
Lu, Xuwen; Guo, Shangjiang
2008
Stability of nonlinear waves in a ring of neurons with delays. Zbl 1132.34048
Guo, Shangjiang; Huang, Lihong
2007
Pattern formation and continuation in a trineuron ring with delays. Zbl 1132.34051
Guo, Shang Jiang; Huang, Li Hong
2007
Nonlinear waves in a ring of neurons. Zbl 1117.37042
Guo, Shangjiang; Huang, Lihong
2006
Piezoelectromagnetic waves guided by the surface of a ceramic cylinder. Zbl 1096.74035
Yang, J.; Guo, S.
2006
Spatio-temporal patterns of nonlinear oscillations in an excitatory ring network with delay. Zbl 1093.34036
Guo, Shangjiang
2005
Periodic oscillation for a class of neural networks with variable coefficients. Zbl 1080.34051
Guo, Shangjiang; Huang, Lihong
2005
Global continuation of nonlinear waves in a ring of neurons. Zbl 1095.34050
Guo, Shangjiang; Huang, Lihong
2005
Regular dynamics in a delayed network of two neurons with all-or-none activation functions. Zbl 1081.34069
Guo, Shangjiang; Huang, Lihong; Wu, Jianhong
2005
Linear stability and Hopf bifurcation in a two-neuron network with three delays. Zbl 1062.34078
Guo, Shangjiang; Huang, Lihong; Wang, Lin
2004
Exponential stability of discrete-time Hopfield neural networks. Zbl 1075.34070
Guo, Shangjiang; Huang, Lihong; Wang, Lin
2004
Periodic oscillation for discrete-time Hopfield neural networks. Zbl 1209.82029
Guo, Shangjiang; Huang, Lihong
2004
Hopf bifurcating periodic orbits in a ring of neurons with delays. Zbl 1041.68079
Guo, Shangjiang; Huang, Lihong
2003
Global existence of periodic solutions of BAM neural networks with variable coefficients. Zbl 1046.68090
Guo, Shangjiang; Huang, Lihong; Dai, Binxiang; Zhang, Zhongzhi
2003
Periodic solutions in an inhibitory two-neuron network. Zbl 1044.34034
Guo, Shangjiang; Huang, Lihong
2003
Global attractivity of a synchronized periodic orbit in a delayed network. Zbl 1032.34070
Guo, Shangjiang; Huang, Lihong; Wu, Jianhong
2003
...and 6 more Documents
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#### Cited by 832 Authors

 82 Guo, Shangjiang 22 Chen, Haibo 21 Jiang, Weihua 20 Huang, Lihong 17 Cao, Jinde 17 Wei, Junjie 15 Liu, Zhisu 15 Zhang, Chunrui 14 Song, Yongli 11 Tang, Xianhua 11 Zheng, Baodong 10 Li, Shangzhi 10 Mao, Xiaochen 10 Peng, Mingshu 9 Ma, Li 9 Xu, Changjin 8 Shi, Junping 8 Xu, Liping 7 Liao, Xiaofeng 6 Chen, Shanshan 6 Ding, Yuting 6 Feng, Zhaosheng 6 Guo, Yuxiao 6 He, Yigang 6 Jiang, Haijun 6 Kaslik, Eva 6 Niu, Ben 6 Wang, Hongbin 6 Wu, Jianhong 6 Xie, Qilin 6 Zhang, Guobao 5 Balint, Stefan 5 Che, Guofeng 5 Fan, Dejun 5 Jiang, Zhaolin 5 Liu, Bingwen 5 Liu, Xinge 5 Samanta, Sudip K. 5 Shu, Yanjun 5 Teng, Zhi-dong 5 Wang, Chuncheng 5 Xie, Weihong 5 Yuan, Rong 4 Cao, Xun 4 Chattopadhyay, Joydev 4 Chen, Sitong 4 Feng, Xiaojing 4 Gao, Jianping 4 Han, Bang-Sheng 4 Horikawa, Yo 4 Lei, Chunyu 4 Liao, Jiafeng 4 Liu, Hongliang 4 Liu, Qiming 4 Ma, Zhanping 4 Park, Juhyun (Jessie) 4 Suo, Hong-Min 4 Tang, Chun-Lei 4 Wang, Zaihua 4 Xu, Jian 4 Xu, Rui 4 Xu, Xu 4 Yan, Shuling 4 Yuan, Yuan 4 Yuan, Yuan 4 Zhang, Qianhong 3 Arena, Felice 3 Bai, Chuanzhi 3 Biswas, Santanu 3 Burlon, Andrea 3 Chen, Yuming 3 Dai, Binxiang 3 Ding, Wei 3 Failla, Giuseppe 3 Fan, Haining 3 Guo, Shaohua 3 Hou, Aiyu 3 Humphries, Antony R. 3 Kwon, O. M. 3 Kyrychko, Yuliya N. 3 Li, Dong 3 Li, Yanqiu 3 Liu, Gao-Sheng 3 Liu, Jiu 3 Liu, Yirong 3 Liu, Yuehua 3 Luo, Chaoliang 3 Ma, Li 3 Maharajan, C. 3 Mu, Chunlai 3 Peng, Jian 3 Pucci, Patrizia 3 Qiu, Huanhuan 3 Qiu, Saibing 3 Raja, Ramachandran 3 Rajchakit, Grienggrai 3 Sapountzakis, Evangelos John 3 Shi, Qingyan 3 Tang, Chunlei 3 Teng, Kaimin ...and 732 more Authors
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#### Cited in 126 Serials

 52 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 40 Nonlinear Dynamics 28 Journal of Mathematical Analysis and Applications 28 Journal of Differential Equations 27 Nonlinear Analysis. Real World Applications 25 Applied Mathematics and Computation 23 Chaos, Solitons and Fractals 22 Computers & Mathematics with Applications 21 Discrete and Continuous Dynamical Systems. Series B 21 Advances in Difference Equations 16 Applied Mathematics Letters 13 Communications in Nonlinear Science and Numerical Simulation 12 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Neural Networks 11 Mathematical Methods in the Applied Sciences 11 Abstract and Applied Analysis 8 Chaos 8 Communications on Pure and Applied Analysis 8 Journal of Applied Analysis and Computation 7 Applied Mathematical Modelling 7 Journal of Dynamics and Differential Equations 7 Boundary Value Problems 6 Applicable Analysis 6 Journal of Nonlinear Science 5 Journal of Mathematical Physics 5 Journal of Computational and Applied Mathematics 5 Physica D 5 Discrete and Continuous Dynamical Systems 5 Discrete Dynamics in Nature and Society 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Acta Mechanica 4 Journal of the Franklin Institute 4 Journal of Mathematical Biology 4 SIAM Journal on Applied Dynamical Systems 3 Mathematical Biosciences 3 Nonlinearity 3 Proceedings of the American Mathematical Society 3 International Journal of Computer Mathematics 3 Calculus of Variations and Partial Differential Equations 3 Electronic Journal of Differential Equations (EJDE) 3 Mathematical Problems in Engineering 3 Journal of Vibration and Control 3 Taiwanese Journal of Mathematics 3 Acta Mathematica Sinica. English Series 3 Journal of Applied Mathematics 3 Journal of Applied Mathematics and Computing 3 Mediterranean Journal of Mathematics 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Journal of Function Spaces 2 Biological Cybernetics 2 International Journal of Systems Science 2 Physics Letters. A 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 International Journal of Mathematics and Mathematical Sciences 2 Mathematics and Computers in Simulation 2 Mathematische Nachrichten 2 Neural Computation 2 Topological Methods in Nonlinear Analysis 2 Turkish Journal of Mathematics 2 Journal of Difference Equations and Applications 2 Journal of Inequalities and Applications 2 Journal of Dynamical and Control Systems 2 Qualitative Theory of Dynamical Systems 2 Nonlinear Analysis. Modelling and Control 2 Journal of Biological Dynamics 2 International Journal of Biomathematics 2 Advances in Mathematical Physics 2 International Journal of Differential Equations 2 Journal of Theoretical Biology 2 Advances in Nonlinear Analysis 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Modern Physics Letters B 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Control 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Journal of the Mechanics and Physics of Solids 1 Journal of Statistical Physics 1 Physica A 1 Rocky Mountain Journal of Mathematics 1 Bulletin of Mathematical Biology 1 Funkcialaj Ekvacioj. Serio Internacia 1 Glasgow Mathematical Journal 1 Journal of the Korean Mathematical Society 1 Kybernetes 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Applicandae Mathematicae 1 Mathematical and Computer Modelling 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Elasticity 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Potential Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Selecta Mathematica. New Series 1 Advances in Computational Mathematics 1 INFORMS Journal on Computing 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Wuhan University Journal of Natural Sciences (WUJNS) ...and 26 more Serials
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#### Cited in 37 Fields

 290 Biology and other natural sciences (92-XX) 277 Ordinary differential equations (34-XX) 234 Partial differential equations (35-XX) 110 Dynamical systems and ergodic theory (37-XX) 42 Systems theory; control (93-XX) 31 Difference and functional equations (39-XX) 26 Operator theory (47-XX) 21 Computer science (68-XX) 21 Mechanics of deformable solids (74-XX) 18 Numerical analysis (65-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Probability theory and stochastic processes (60-XX) 8 Optics, electromagnetic theory (78-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Integral equations (45-XX) 5 Mechanics of particles and systems (70-XX) 4 Real functions (26-XX) 4 Quantum theory (81-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Differential geometry (53-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Topological groups, Lie groups (22-XX) 2 Approximations and expansions (41-XX) 2 Statistics (62-XX) 2 Fluid mechanics (76-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)