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Yu, Pei

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 Author ID: yu.pei Published as: Yu, Pei; Yu, P. Homepage: http://www.apmaths.uwo.ca/~pyu/ External Links: MGP · dblp
 Documents Indexed: 221 Publications since 1986, including 3 Books
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Co-Authors

 14 single-authored 31 Han, Maoan 20 Huseyin, Koncay 17 Liao, Xiao Xin 11 Tian, Yun 10 Zhang, Wenling 9 Yuan, Yuan 8 Li, Feng 8 Sun, Xianbo 6 Bi, Qinsheng 6 Liu, Yirong 6 Wahl, Lindi M. 6 Yang, Junmin 5 Chen, Guanrong 5 Ding, Yuting 5 Jiang, Jiao 5 Jiang, Weihua 5 Yao, Weiguang 4 Chen, Yufu 4 Gazor, Majid 4 Guo, Laigang 4 Leung, Andrew Yee-Tak 4 Li, Jibin 4 Popplewell, Neil 4 Shah, Arvind H. 4 Shi, Yuming 4 Wu, Zhiqiang 4 Zhang, Wei 3 Chan, Bernard S. 3 Fu, Yuli 3 Taneri, Ufuk 3 Wang, Sharon 3 Xie, Shengli 3 Yan, Zhenya 3 Zhu, Songhui 2 Chen, Zhen 2 Corless, Robert Malcolm 2 Davison, Matt 2 Desai, Yogesh M. 2 Gumel, Abba B. 2 Huang, Jicai 2 Huang, Lihong 2 Pan, Kelin 2 Ruan, Shigui 2 Xu, Jian 2 Zeng, Yanni 2 Zou, Xingfu 1 Bai, Yu 1 Chen, Changbo 1 Chen, Haibo 1 Chen, Ting 1 Chen, Wuhua 1 Chen, Xianfeng 1 Chen, Xiaoyan 1 Chen, Zhanbo 1 Essex, Chris 1 Essex, Christopher 1 Gazor, Hamid 1 Guan, Zhihong 1 Huang, Jianing 1 Huang, Wentao 1 Jiang, Xiamei 1 Jin, Yinlai 1 Jin, Zhen 1 Kaempffer, F. A. 1 Langford, William F. 1 Librescu, Liviu I. 1 Lin, Yiping 1 Liu, Peng 1 Liu, Xijun 1 Liu, Zhaomiao 1 Lu, Jinhu 1 Lu, Min 1 Meng, Fanwei 1 Moghadas, Seyed M. 1 Moreno Maza, Marc 1 Murza, Adrian Calin 1 Nadeem, Alina 1 Qin, Bin 1 Romanovski, Valery G. 1 Shang, Desheng 1 Song, Yongli 1 Wang, Keqi 1 Wang, Liqiu 1 Wang, Na 1 Wang, Pan 1 Wang, Xiangyu 1 Wei, Zhouchao 1 Xiao, Dongmei 1 Xu, Yancong 1 Yang, Yu 1 Yao, Minghui 1 Yuan, Zhaohui 1 Zeng, Bing 1 Zeng, Zhigang 1 Zhang, Jizhou 1 Zhang, Tonghua 1 Zhang, Weijiang 1 Zhang, Xiang 1 Zhang, Xiaoguang 1 Zhang, Yiming ...and 3 more Co-Authors
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Serials

 59 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 19 Communications in Nonlinear Science and Numerical Simulation 15 Chaos, Solitons and Fractals 14 Journal of Differential Equations 11 Journal of Sound and Vibration 8 Journal of Mathematical Analysis and Applications 8 Nonlinear Dynamics 8 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 5 International Journal of Systems Science 4 Journal of Applied Analysis and Computation 3 Applied Mathematics and Computation 3 IEEE Transactions on Automatic Control 3 Applied Mathematics Letters 3 Dynamics and Stability of Systems 3 SIAM Journal on Applied Mathematics 3 Nonlinear Analysis. Real World Applications 2 International Journal of Non-Linear Mechanics 2 Journal of Applied Mechanics 2 Journal of Mathematical Biology 2 Journal of Computational and Applied Mathematics 2 Quarterly of Applied Mathematics 2 Mathematical and Computer Modelling 2 Applied Mathematical Modelling 2 Journal of Nonlinear Science 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Biological Dynamics 2 Science China. Mathematics 1 Computers and Structures 1 International Journal of Engineering Science 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Kybernetes 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Systems & Control Letters 1 Acta Applicandae Mathematicae 1 Journal of Symbolic Computation 1 SIAM Review 1 International Journal of Robust and Nonlinear Control 1 Bulletin des Sciences Mathématiques 1 Abstract and Applied Analysis 1 Qualitative Theory of Dynamical Systems 1 Scientiae Mathematicae Japonicae 1 Communications on Pure and Applied Analysis 1 SIAM Journal on Applied Dynamical Systems 1 Mathematical Biosciences and Engineering 1 Science in China. Series F 1 Applied Mathematical Sciences 1 Monograph Series on Nonlinear Science and Complexity
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Fields

 162 Ordinary differential equations (34-XX) 96 Dynamical systems and ergodic theory (37-XX) 36 Biology and other natural sciences (92-XX) 29 Systems theory; control (93-XX) 13 Mechanics of particles and systems (70-XX) 13 Mechanics of deformable solids (74-XX) 8 Numerical analysis (65-XX) 7 Computer science (68-XX) 5 Partial differential equations (35-XX) 4 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Statistics (62-XX) 2 Fluid mechanics (76-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX)

Citations contained in zbMATH Open

183 Publications have been cited 2,047 times in 1,082 Documents Cited by Year
Computation of normal forms via a perturbation technique. Zbl 1235.34126
Yu, P.
1998
Normal forms, Melnikov functions and bifurcations of limit cycles. Zbl 1252.37002
Han, Maoan; Yu, Pei
2012
Small limit cycles bifurcating from fine focus points in cubic order $$Z_{2}$$-equivariant vector fields. Zbl 1067.34033
Yu, P.; Han, M.
2005
Hopf bifurcations for near-Hamiltonian systems. Zbl 1183.34054
Han, Maoan; Yang, Junmin; Yu, Pei
2009
Twelve limit cycles in a cubic case of the 16th Hilbert problem. Zbl 1092.34524
Yu, P.; Han, M.
2005
Delay-dependent stability and $$h_{\infty }$$ control of uncertain discrete-time Markovian jump systems with mode-dependent time delays. Zbl 1157.93438
Chen, Wu-Hua; Guan, Zhi-Hong; Yu, Pei
2004
Analysis on double Hopf bifurcation using computer algebra with the aid of multiple scales. Zbl 0994.65140
Yu, Pei
2002
Hopf bifurcation control using nonlinear feedback with polynomial functions. Zbl 1129.37335
Yu, Pei; Chen, Guanrong
2004
Study of hidden attractors, multiple limit cycles from Hopf bifurcation and boundedness of motion in the generalized hyperchaotic Rabinovich system. Zbl 1348.34102
Wei, Zhouchao; Yu, Pei; Zhang, Wei; Yao, Minghui
2015
Global dynamics of a parametrically and externally excited thin plate. Zbl 1006.74050
Zhang, Wei; Liu, Zhaomiao; Yu, Pei
2001
Twelve limit cycles in a cubic order planar system with $$Z_2$$ symmetry. Zbl 1085.34028
Yu, P.; Han, M.
2004
Bifurcation of limit cycles in a quintic Hamiltonian system under a sixth-order perturbation. Zbl 1098.37057
Wang, Sharon; Yu, P.
2005
Chaos induced by regular snap-back repellers. Zbl 1131.37023
Shi, Yuming; Yu, Pei
2008
Closed-form conditions of bifurcation points for general differential equations. Zbl 1090.34034
Yu, P.
2005
Simplest normal forms of Hopf and generalized Hopf bifurcations. Zbl 1089.37528
Yu, P.
1999
Chaotification of discrete dynamical systems in Banach spaces. Zbl 1185.37084
Shi, Yuming; Yu, Pei; Chen, Guanrong
2006
Study of double Hopf bifurcation and chaos for an oscillator with time delayed feedback. Zbl 1010.34070
Yu, Pei; Yuan, Yuan; Xu, J.
2002
The simplest normal form of Hopf bifurcation. Zbl 1086.34033
Yu, P.; Leung, A. Y. T.
2003
Symbolic computation of normal forms for resonant double Hopf bifurcations using a perturbation technique. Zbl 1237.70085
Yu, P.
2001
Delay-induced bifurcations in a nonautonomous system with delayed velocity feedbacks. Zbl 1074.34068
Xu, Jian; Yu, Pei
2004
Vibration analysis on a thin plate with the aid of computation of normal forms. Zbl 1341.74115
Yu, Pei; Zhang, Wei; Bi, Qinsheng
2001
A study on the existence of limit cycles of a planar system with third-degree polynomials. Zbl 1078.34017
Han, M.; Lin, Y.; Yu, P.
2004
Study on chaos induced by turbulent maps in noncompact sets. Zbl 1106.37008
Shi, Yuming; Yu, Pei
2006
Globally attractive and positive invariant set of the Lorenz system. Zbl 1141.37335
Yu, Pei; Liao, Xiaoxin
2006
A perturbation analysis of interactive static and dynamic bifurcations. Zbl 0655.58024
Yu, Pei; Huseyin, Koncay
1988
Limit cycles in generalized Liénard systems. Zbl 1142.34326
Yu, P.; Han, M.
2006
Spectral sequences and parametric normal forms. Zbl 1242.34065
Gazor, Majid; Yu, Pei
2012
Hopf bifurcation control for an Internet congestion model. Zbl 1092.34562
Chen, Z.; Yu, P.
2005
Globally exponentially attractive sets of the family of Lorenz systems. Zbl 1148.37025
Liao, Xiaoxin; Fu, Yuli; Xie, Shengli; Yu, Pei
2008
Computation of simplest normal forms of differential equations associated with a double-zero eigenvalue. Zbl 1090.37539
Yuan, Yuan; Yu, Pei
2001
Symbolic computation of limit cycles associated with Hilbert’s 16th problem. Zbl 1221.34082
Yu, P.; Corless, R.
2009
Existence of 121 limit cycles in a perturbed planar polynomial Hamiltonian vector field of degree 11. Zbl 1158.34022
Wang, S.; Yu, P.
2006
Symbolic computation of normal forms for semi-simple cases. Zbl 0944.65132
Bi, Qinsheng; Yu, Pei
1999
A constructive proof on the existence of globally exponentially attractive set and positive invariant set of general Lorenz family. Zbl 1221.37047
Yu, P.; Liao, X. X.; Xie, S. L.; Fu, Y. L.
2009
An explicit recursive formula for computing the normal form and center manifold of general $$n$$-dimensional differential systems associated with Hopf bifurcations. Zbl 1272.34004
Tian, Yun; Yu, Pei
2013
New estimations for globally attractive and positive invariant set of the family of the Lorenz systems. Zbl 1116.37026
Yu, Pei; Liao, Xiaoxin
2006
Analysis of non-linear dynamics and bifurcations of a double pendulum. Zbl 1236.70031
Yu, P.; Bi, Q.
1998
Viral blips may not need a trigger: how transient viremia can arise in deterministic in-host models. Zbl 1283.92055
Zhang, Wenjing; Wahl, Lindi M.; Yu, Pei
2014
Computation of focus values with applications. Zbl 1170.70306
Yu, Pei; Chen, Guanrong
2008
Four limit cycles from perturbing quadratic integrable systems by quadratic polynomials. Zbl 1258.34062
Yu, Pei; Han, Maoan
2012
Center conditions in a switching Bautin system. Zbl 1325.34041
Tian, Yun; Yu, Pei
2015
Analysis on limit cycles of $$Z_{q}$$-equivariant polynomial vector fields with degree 3 or 4. Zbl 1106.34017
Yu, P.; Han, M.; Yuan, Y.
2006
Study on the global property of the smooth Chua’s system. Zbl 1185.37056
Liao, Xiaoxin; Yu, Pei; Xie, Shengli; Fu, Yuli
2006
Small-amplitude limit cycles of polynomial Liénard systems. Zbl 1355.34068
Han, Maoan; Tian, Yun; Yu, Pei
2013
Static and dynamic bifurcations associated with a double-zero eigenvalue. Zbl 0647.34036
Yu, Pei; Huseyin, K.
1986
Four small limit cycles around a Hopf singular point in 3-dimensional competitive Lotka-Volterra systems. Zbl 1334.34072
Yu, Pei; Han, Maoan; Xiao, Dongmei
2016
Dynamics of an HIV-1 therapy model of fighting a virus with another virus. Zbl 1342.92095
Jiang, Xiamei; Yu, Pei; Yuan, Zhaohui; Zou, Xingfu
2009
Controlling and anti-controlling Hopf bifurcations in discrete maps using polynomial functions. Zbl 1093.37508
Chen, Z.; Yu, P.
2005
Bifurcation of limit cycles in $$Z_{10}$$-equivariant vector fields of degree 9. Zbl 1192.37072
Wang, Sharon; Yu, Pei; Li, Jibin
2006
A matching pursuit technique for computing the simplest normal forms of vector fields. Zbl 1021.37033
Yu, Pei; Yuan, Yuan
2003
Computation of the simplest normal forms with perturbation parameters based on Lie transform and rescaling. Zbl 1019.65043
Yu, P.
2002
Estimation of chaotic parameter regimes via generalized competitive mode approach. Zbl 1025.34040
Yao, W.; Yu, P.; Essex, C.
2002
Chaos control for the family of Rössler systems using feedback controllers. Zbl 1147.93389
Liao, Xiaoxin; Yu, Pei
2006
Hyperchaos synchronization and control on a new hyperchaotic attractor. Zbl 1132.93042
Yan, Zhenya; Yu, Pei
2008
Bifurcation of ten small-amplitude limit cycles by perturbing a quadratic Hamiltonian system with cubic polynomials. Zbl 1330.34055
Tian, Yun; Yu, Pei
2016
Modeling and analysis of recurrent autoimmune disease. Zbl 1330.92070
Zhang, Wenjing; Wahl, Lindi M.; Yu, Pei
2014
An efficient method for computing the simplest normal forms of vector fields. Zbl 1067.34041
Yu, Pei; Yuan, Yuan
2003
Linear feedback control, adaptive feedback control and their combination for chaos (lag) synchronization of LC chaotic systems. Zbl 1136.93430
Yan, Zhenya; Yu, Pei
2007
Absolute stability of nonlinear control systems. 2nd ed. Zbl 1151.93002
Liao, Xiaoxin; Yu, Pei
2008
Analysis on topological properties of the Lorenz and the Chen attractors using GCM. Zbl 1141.37309
Yu, Pei; Yao, Weiguang; Chen, Guanron
2007
Chaos control and chaos synchronization for multi-scroll chaotic attractors generated using hyperbolic functions. Zbl 1176.93033
Xu, F.; Yu, Pei
2010
Critical periods of planar revertible vector field with third-degree polynomial functions. Zbl 1170.34316
Yu, Pei; Han, Maoan
2009
A study of the limit cycles associated with a generalized codimension-3 Liénard oscillator. Zbl 1237.70063
Zhang, W.; Yu, P.
2000
Conditions for transient viremia in deterministic in-host models: viral blips need no exogenous trigger. Zbl 1267.92051
Zhang, Wenjing; Wahl, Lindi M.; Yu, Pei
2013
Double Hopf bifurcation in delayed van der Pol-Duffing equation. Zbl 1270.34185
Ding, Yuting; Jiang, Weihua; Yu, Pei
2013
The simplest normal form for the singularity of a pure imaginary pair and a zero eigenvalue. Zbl 0985.34029
Yu, Pei; Yuan, Yuan
2001
Bifurcation analysis in a model of cytotoxic T-lymphocyte response to viral infections. Zbl 1238.37034
Chan, Bernard S.; Yu, Pei
2012
Hopf-zero bifurcation in a generalized Gopalsamy neural network model. Zbl 1268.34131
Ding, Yuting; Jiang, Weihua; Yu, Pei
2012
On bifurcation into nonresonant quasi-periodic motions. Zbl 0663.34044
Huseyin, K.; Yu, P.
1988
A study on Zoladek’s example. Zbl 1304.34064
Yu, Pei; Han, Maoan
2011
Bifurcation of limit cycles at infinity in piecewise polynomial systems. Zbl 1387.34059
Chen, Ting; Huang, Lihong; Yu, Pei; Huang, Wentao
2018
Double Hopf bifurcations and chaos of a nonlinear vibration system. Zbl 0967.70017
Bi, Qinsheng; Yu, Pei
1999
The simplest normal forms associated with a triple zero eigenvalue of indices one and two. Zbl 1042.34538
Yu, Pei; Yuan, Yuan
2001
Limit cycles in two types of symmetric Liénard systems. Zbl 1151.34312
Jiang, J.; Han, M.; Yu, P.; Lynch, S.
2007
Study of globally exponential synchronization for the family of Rössler systems. Zbl 1192.37042
Liao, Xiaoxin; Yu, Pei
2006
Critical periods of third-order planar Hamiltonian systems. Zbl 1196.34049
Yu, Pei; Han, Maoan; Zhang, Jizhou
2010
Existence conditions of thirteen limit cycles in a cubic system. Zbl 1202.34065
Yang, Junmin; Han, Maoan; Li, Jibin; Yu, Pei
2010
On the study of globally exponentially attractive set of a general chaotic system. Zbl 1221.37072
Yu, P.; Liao, X. X.
2008
The critical phenomena in a hysteretic model due to the interaction between hysteretic damping and external force. Zbl 1237.34055
Chen, Z.; Wu, Z. Q.; Yu, P.
2005
An application of regular chain theory to the study of limit cycles. Zbl 1277.34033
Chen, Changbo; Corless, Robert M.; Maza, Marc Moreno; Yu, Pei; Zhang, Yiming
2013
Bifurcation of limit cycles in a fourth-order near-Hamiltonian system. Zbl 1159.34029
Han, Maoan; Shang, Desheng; Zheng, Wang; Yu, Pei
2007
Bifurcations associated with a three-fold zero eigenvalue. Zbl 0648.34053
Yu, Pei; Huseyin, K.
1988
Global existence and uniqueness of periodic waves in a population model with density-dependent migrations and allee effect. Zbl 1379.35337
Sun, Xianbo; Yu, Pei; Qin, Bin
2017
Backward bifurcations, turning points and rich dynamics in simple disease models. Zbl 1354.92098
Zhang, Wenjing; Wahl, Lindi M.; Yu, Pei
2016
Computation of the normal forms for general M-DOF systems using multiple time scales. I: Autonomous systems. Zbl 1078.34019
Yu, Pei; Zhu, Songhui
2005
Analysis on the globally exponent synchronization of Chua’s circuit using absolute stability theory. Zbl 1094.37502
Liao, Xiaoxin; Yu, Pei
2005
Bifurcation of small limit cycles in $$Z_{5}$$-equivariant planar vector fields of order 5. Zbl 1122.34025
Yao, W. H.; Yu, P.
2007
Competitive modes and their application. Zbl 1141.37334
Yao, Weiguang; Yu, Pei; Essex, Christopher; Davison, Matt
2006
Stability of dynamical systems. Zbl 1134.34001
Liao, Xiaoxin; Wang, Liqiu; Yu, Pei
2007
Global analysis on $$n$$-scroll chaotic attractors of modified Chua’s circuit. Zbl 1170.34322
Xu, Fei; Yu, Pei; Liao, Xiaoxin
2009
Formal decomposition method and parametric normal forms. Zbl 1208.34046
Gazor, Majid; Yu, Pei
2010
Bifurcation and stability analyses for a coupled Brusselator model. Zbl 1237.80021
Yu, P.; Gumel, A. B.
2001
A perturbation method for computing the simplest normal forms of dynamical systems. Zbl 1237.34074
Yu, Pei; Leung, Andrew Y. T.
2003
Bifurcations associated with a double zero and a pair of pure imaginary eigenvalues. Zbl 0665.58008
Yu, Pei; Huseyin, K.
1988
An improvement on the number of limit cycles bifurcating from a nondegenerate center of homogeneous polynomial systems. Zbl 1394.34075
Yu, Pei; Han, Maoan; Li, Jibin
2018
Bi-center problem and bifurcation of limit cycles from nilpotent singular points in $$Z_{2}$$-equivariant cubic vector fields. Zbl 1444.34054
Li, Feng; Liu, Yirong; Liu, Yuanyuan; Yu, Pei
2018
Bifurcation dynamics in control systems. Zbl 1032.93527
Yu, Pei
2003
A common phenomenon in chaotic systems linked by time delay. Zbl 1117.37022
Yu, Pei; Xu, Fei
2006
Bifurcation of limit cycles in 3rd-order $$Z_2$$ Hamiltonian planar vector fields with 3rd-order perturbations. Zbl 1345.34040
Yu, Pei; Han, Maoan
2013
A new comparison method for stability theory of differential systems with time-varying delays. Zbl 1158.34341
Zeng, Zhigang; Yu, Pei; Liao, Xiaoxin
2008
Cyclicity of periodic annulus and Hopf cyclicity in perturbing a hyper-elliptic Hamiltonian system with a degenerate heteroclinic loop. Zbl 1452.34043
Sun, Xianbo; Yu, Pei
2020
Modeling and analysis of recurrent autoimmune disease. Zbl 1437.34063
Xu, Yancong; Yang, Yu; Meng, Fanwei; Yu, Pei
2020
Integrability and linearizability of cubic $$Z_2$$ systems with non-resonant singular points. Zbl 1450.37052
Li, Feng; Jin, Yinlai; Tian, Yun; Yu, Pei
2020
Exact bound on the number of zeros of abelian integrals for two hyper-elliptic Hamiltonian systems of degree 4. Zbl 1435.37077
Sun, Xianbo; Yu, Pei
2019
Bifurcation analysis of an SIRS epidemic model with a generalized nonmonotone and saturated incidence rate. Zbl 1421.92034
Lu, Min; Huang, Jicai; Ruan, Shigui; Yu, Pei
2019
Bifurcation analysis on a class of $$Z_{2}$$-equivariant cubic switching systems showing eighteen limit cycles. Zbl 1410.34115
Guo, Laigang; Yu, Pei; Chen, Yufu
2019
Bifurcation analysis of a Mosquito population model with a saturated release rate of sterile mosquitoes. Zbl 1428.34066
Huang, Jicai; Ruan, Shigui; Yu, Pei; Zhang, Yuyue
2019
Limit cycle bifurcations near a double homoclinic loop with a nilpotent saddle of order $$m$$. Zbl 1406.34068
Yang, Junmin; Yu, Pei; Han, Maoan
2019
Bifurcation of multiple limit cycles in an epidemic model on adaptive networks. Zbl 1425.34068
Zhang, Xiaoguang; Jin, Zhen; Yu, Pei
2019
Complex dynamics in a unified SIR and HIV disease model: a bifurcation theory approach. Zbl 1426.34064
Yu, Pei; Zhang, Wenjing
2019
Bifurcation analysis on a class of three-dimensional quadratic systems with twelve limit cycles. Zbl 1433.34046
Guo, Laigang; Yu, Pei; Chen, Yufu
2019
Bifurcation of limit cycles at infinity in piecewise polynomial systems. Zbl 1387.34059
Chen, Ting; Huang, Lihong; Yu, Pei; Huang, Wentao
2018
An improvement on the number of limit cycles bifurcating from a nondegenerate center of homogeneous polynomial systems. Zbl 1394.34075
Yu, Pei; Han, Maoan; Li, Jibin
2018
Bi-center problem and bifurcation of limit cycles from nilpotent singular points in $$Z_{2}$$-equivariant cubic vector fields. Zbl 1444.34054
Li, Feng; Liu, Yirong; Liu, Yuanyuan; Yu, Pei
2018
Bifurcation of small limit cycles in cubic integrable systems using higher-order analysis. Zbl 1386.34075
Tian, Yun; Yu, Pei
2018
Twelve limit cycles in 3D quadratic vector fields with $$Z_3$$ symmetry. Zbl 1404.34033
Guo, Laigang; Yu, Pei; Chen, Yufu
2018
Global existence and uniqueness of periodic waves in a population model with density-dependent migrations and allee effect. Zbl 1379.35337
Sun, Xianbo; Yu, Pei; Qin, Bin
2017
Bifurcation of limit cycles at infinity in a class of switching systems. Zbl 1373.34049
Li, Feng; Liu, Yuanyuan; Yu, Pei
2017
Multistable phenomena involving equilibria and periodic motions in predator-prey systems. Zbl 1360.34107
Jiang, Jiao; Yu, Pei
2017
Nine limit cycles around a singular point by perturbing a cubic Hamiltonian system with a nilpotent center. Zbl 1411.34046
Yang, Junmin; Yu, Pei
2017
Bifurcation of limit cycles in a cubic-order planar system around a nilpotent critical point. Zbl 1377.34052
Yu, Pei; Li, Feng
2017
The impact of prophage on the equilibria and stability of phage and host. Zbl 1372.92115
Yu, Pei; Nadeem, Alina; Wahl, Lindi M.
2017
Four small limit cycles around a Hopf singular point in 3-dimensional competitive Lotka-Volterra systems. Zbl 1334.34072
Yu, Pei; Han, Maoan; Xiao, Dongmei
2016
Bifurcation of ten small-amplitude limit cycles by perturbing a quadratic Hamiltonian system with cubic polynomials. Zbl 1330.34055
Tian, Yun; Yu, Pei
2016
Backward bifurcations, turning points and rich dynamics in simple disease models. Zbl 1354.92098
Zhang, Wenjing; Wahl, Lindi M.; Yu, Pei
2016
Analytic integrability of two lopsided systems. Zbl 1334.34004
Li, Feng; Yu, Pei; Liu, Yirong
2016
Delay-induced triple-zero bifurcation in a delayed Leslie-type predator-prey model with additive Allee effect. Zbl 1343.34181
Jiang, Jiao; Song, Yongli; Yu, Pei
2016
Hopf and generalized Hopf bifurcations in a recurrent autoimmune disease model. Zbl 1343.34129
Zhang, Wenjing; Yu, Pei
2016
Coupled oscillatory systems with 4 symmetry and application to van der Pol oscillators. Zbl 1345.34060
2016
Complex dynamics in biological systems arising from multiple limit cycle bifurcation. Zbl 1448.92364
Yu, P.; Lin, W.
2016
Study of hidden attractors, multiple limit cycles from Hopf bifurcation and boundedness of motion in the generalized hyperchaotic Rabinovich system. Zbl 1348.34102
Wei, Zhouchao; Yu, Pei; Zhang, Wei; Yao, Minghui
2015
Center conditions in a switching Bautin system. Zbl 1325.34041
Tian, Yun; Yu, Pei
2015
Ten limit cycles around a center-type singular point in a 3-d quadratic system with quadratic perturbation. Zbl 1336.34051
Yu, Pei; Han, Maoan
2015
Center and isochronous center conditions for switching systems associated with elementary singular points. Zbl 1454.34052
Li, Feng; Yu, Pei; Tian, Yun; Liu, Yirong
2015
Dynamic behaviors of a class of HIV compartmental models. Zbl 1352.92143
Chen, Xiaoyan; Huang, Lihong; Yu, Pei
2015
Viral blips may not need a trigger: how transient viremia can arise in deterministic in-host models. Zbl 1283.92055
Zhang, Wenjing; Wahl, Lindi M.; Yu, Pei
2014
Modeling and analysis of recurrent autoimmune disease. Zbl 1330.92070
Zhang, Wenjing; Wahl, Lindi M.; Yu, Pei
2014
Equivalence of the MTS method and CMR method for differential equations associated with semisimple singularity. Zbl 1284.34071
Yu, Pei; Ding, Yuting; Jiang, Weihua
2014
Seven limit cycles around a focus point in a simple three-dimensional quadratic vector field. Zbl 1296.34101
Tian, Yun; Yu, Pei
2014
An explicit recursive formula for computing the normal forms associated with semisimple cases. Zbl 1457.37066
Tian, Yun; Yu, Pei
2014
Impact of delay on HIV-1 dynamics of fighting a virus with another virus. Zbl 1326.92070
Tian, Yun; Bai, Yu; Yu, Pei
2014
An explicit recursive formula for computing the normal form and center manifold of general $$n$$-dimensional differential systems associated with Hopf bifurcations. Zbl 1272.34004
Tian, Yun; Yu, Pei
2013
Small-amplitude limit cycles of polynomial Liénard systems. Zbl 1355.34068
Han, Maoan; Tian, Yun; Yu, Pei
2013
Conditions for transient viremia in deterministic in-host models: viral blips need no exogenous trigger. Zbl 1267.92051
Zhang, Wenjing; Wahl, Lindi M.; Yu, Pei
2013
Double Hopf bifurcation in delayed van der Pol-Duffing equation. Zbl 1270.34185
Ding, Yuting; Jiang, Weihua; Yu, Pei
2013
An application of regular chain theory to the study of limit cycles. Zbl 1277.34033
Chen, Changbo; Corless, Robert M.; Maza, Marc Moreno; Yu, Pei; Zhang, Yiming
2013
Bifurcation of limit cycles in 3rd-order $$Z_2$$ Hamiltonian planar vector fields with 3rd-order perturbations. Zbl 1345.34040
Yu, Pei; Han, Maoan
2013
Synchrony-breaking Hopf bifurcation in a model of antigenic variation. Zbl 1270.34119
Chan, Bernard S.; Yu, Pei
2013
Double Hopf bifurcation in a container crane model with delayed position feedback. Zbl 1290.70010
Ding, Yuting; Jiang, Weihua; Yu, Pei
2013
Bifurcation analysis in a recurrent neural network model with delays. Zbl 1268.94044
Ding, Yuting; Jiang, Weihua; Yu, Pei
2013
Synchronization and stabilization of multi-scroll integer and fractional order chaotic attractors generated using trigonometric functions. Zbl 1275.34070
Xu, Fei; Yu, Pei; Liao, Xiaoxin
2013
Bifurcation, stability, and cluster formation of multi-strain infection models. Zbl 1291.34082
Chan, Bernard S.; Yu, Pei
2013
Eight limit cycles around a center in quadratic Hamiltonian system with third-order perturbation. Zbl 1270.34056
Yu, Pei; Han, Maoan
2013
Normal forms, Melnikov functions and bifurcations of limit cycles. Zbl 1252.37002
Han, Maoan; Yu, Pei
2012
Spectral sequences and parametric normal forms. Zbl 1242.34065
Gazor, Majid; Yu, Pei
2012
Four limit cycles from perturbing quadratic integrable systems by quadratic polynomials. Zbl 1258.34062
Yu, Pei; Han, Maoan
2012
Bifurcation analysis in a model of cytotoxic T-lymphocyte response to viral infections. Zbl 1238.37034
Chan, Bernard S.; Yu, Pei
2012
Hopf-zero bifurcation in a generalized Gopalsamy neural network model. Zbl 1268.34131
Ding, Yuting; Jiang, Weihua; Yu, Pei
2012
Bifurcation analysis on an HIV-1 model with constant injection of recombinant. Zbl 1270.34145
Yu, Pei; Zou, Xingfu
2012
Bifurcation of limit cycles in quadratic Hamiltonian systems with various degree polynomial perturbations. Zbl 1264.70044
Yu, P.; Han, M.
2012
A study on Zoladek’s example. Zbl 1304.34064
Yu, Pei; Han, Maoan
2011
Bifurcation control for a class of Lorenz-like systems. Zbl 1248.34097
Yu, Pei; Lü, Jinhu
2011
Four limit cycles in quadratic near-integrable systems. Zbl 1304.34065
Yu, Pei; Han, Maoan
2011
Chaos control and chaos synchronization for multi-scroll chaotic attractors generated using hyperbolic functions. Zbl 1176.93033
Xu, F.; Yu, Pei
2010
Critical periods of third-order planar Hamiltonian systems. Zbl 1196.34049
Yu, Pei; Han, Maoan; Zhang, Jizhou
2010
Existence conditions of thirteen limit cycles in a cubic system. Zbl 1202.34065
Yang, Junmin; Han, Maoan; Li, Jibin; Yu, Pei
2010
Formal decomposition method and parametric normal forms. Zbl 1208.34046
Gazor, Majid; Yu, Pei
2010
Bifurcation of limit cycles in cubic integrable $$Z_{2}$$-equivariant planar vector fields. Zbl 1214.34027
Yu, Pei; Han, Manao; Li, Jibin
2010
Hopf bifurcations for near-Hamiltonian systems. Zbl 1183.34054
Han, Maoan; Yang, Junmin; Yu, Pei
2009
Symbolic computation of limit cycles associated with Hilbert’s 16th problem. Zbl 1221.34082
Yu, P.; Corless, R.
2009
A constructive proof on the existence of globally exponentially attractive set and positive invariant set of general Lorenz family. Zbl 1221.37047
Yu, P.; Liao, X. X.; Xie, S. L.; Fu, Y. L.
2009
Dynamics of an HIV-1 therapy model of fighting a virus with another virus. Zbl 1342.92095
Jiang, Xiamei; Yu, Pei; Yuan, Zhaohui; Zou, Xingfu
2009
Critical periods of planar revertible vector field with third-degree polynomial functions. Zbl 1170.34316
Yu, Pei; Han, Maoan
2009
Global analysis on $$n$$-scroll chaotic attractors of modified Chua’s circuit. Zbl 1170.34322
Xu, Fei; Yu, Pei; Liao, Xiaoxin
2009
Chaos control and synchronization for a special generalized Lorenz canonical system - the SM system. Zbl 1197.37037
Liao, Xiaoxin; Xu, F.; Wang, Pan; Yu, Pei
2009
Global stabilization and synchronization of $$N$$-scroll chaotic attractors in a modified Chua’s circuit with hyperbolic tangent function. Zbl 1175.34064
Xu, Fei; Yu, Pei
2009
Chaos induced by regular snap-back repellers. Zbl 1131.37023
Shi, Yuming; Yu, Pei
2008
Globally exponentially attractive sets of the family of Lorenz systems. Zbl 1148.37025
Liao, Xiaoxin; Fu, Yuli; Xie, Shengli; Yu, Pei
2008
Computation of focus values with applications. Zbl 1170.70306
Yu, Pei; Chen, Guanrong
2008
Hyperchaos synchronization and control on a new hyperchaotic attractor. Zbl 1132.93042
Yan, Zhenya; Yu, Pei
2008
Absolute stability of nonlinear control systems. 2nd ed. Zbl 1151.93002
Liao, Xiaoxin; Yu, Pei
2008
On the study of globally exponentially attractive set of a general chaotic system. Zbl 1221.37072
Yu, P.; Liao, X. X.
2008
A new comparison method for stability theory of differential systems with time-varying delays. Zbl 1158.34341
Zeng, Zhigang; Yu, Pei; Liao, Xiaoxin
2008
Infinite order parametric normal form of Hopf singularity. Zbl 1165.37326
Gazor, Majid; Yu, Pei
2008
Center and isochronous center at infinity in a class of planar differential systems. Zbl 1155.34019
Chen, Haibo; Liu, Yirong; Yu, Pei
2008
Linear feedback control, adaptive feedback control and their combination for chaos (lag) synchronization of LC chaotic systems. Zbl 1136.93430
Yan, Zhenya; Yu, Pei
2007
Analysis on topological properties of the Lorenz and the Chen attractors using GCM. Zbl 1141.37309
Yu, Pei; Yao, Weiguang; Chen, Guanron
2007
Limit cycles in two types of symmetric Liénard systems. Zbl 1151.34312
Jiang, J.; Han, M.; Yu, P.; Lynch, S.
2007
Bifurcation of limit cycles in a fourth-order near-Hamiltonian system. Zbl 1159.34029
Han, Maoan; Shang, Desheng; Zheng, Wang; Yu, Pei
2007
Bifurcation of small limit cycles in $$Z_{5}$$-equivariant planar vector fields of order 5. Zbl 1122.34025
Yao, W. H.; Yu, P.
2007
Stability of dynamical systems. Zbl 1134.34001
Liao, Xiaoxin; Wang, Liqiu; Yu, Pei
2007
Globally exponential hyperchaos (LAG) synchronization in a family of modified hyperchaotic Rössler systems. Zbl 1139.93028
Yan, Zhenya; Yu, Pei
2007
The simplest parametrized normal forms of Hopf and generalized Hopf bifurcations. Zbl 1193.70034
Yu, Pei; Chen, Guanrong
2007
On limit cycles of the Liénard equation with $$Z_2$$ symmetry. Zbl 1149.34025
Yu, P.; Han, M.
2007
On chaos of the logistic maps. Zbl 1130.37019
Shi, Yuming; Yu, Pei
2007
Local and global bifurcations to limit cycles in a class of Liénard equation. Zbl 1131.34027
Yu, Pei
2007
The simplest normal form and its application to bifurcation control. Zbl 1136.34042
Yu, Pei; Leung, A. Y. T.
2007
Implications of time-delayed feedback control on limit cycle oscillation of a two-dimensional supersonic lifting surface. Zbl 1242.76303
Yu, P.; Chen, Z.; Librescu, L.; Marzocca, P.
2007
Normal forms of vector fields with perturbation parameters and their application. Zbl 1147.34030
Yu, Pei; Leung, A. Y. T.
2007
Robust absolute stability of Lur’e interval control systems. Zbl 1132.93035
Liao, Xiaoxin; Chen, Zhen; Xu, Fei; Yu, Pei
2007
...and 83 more Documents
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Cited by 1,450 Authors

 129 Yu, Pei 67 Han, Maoan 30 Zhang, Wei 23 Liu, Yirong 23 Shi, Yuming 19 Zhang, Fuchen 18 Chen, Guanrong 18 Sun, Xianbo 17 Jiang, Weihua 17 Li, Feng 16 Yang, Junmin 15 Tian, Yun 15 Xiong, Yanqin 14 Llibre, Jaume 13 Huseyin, Koncay 13 Mu, Chunlai 13 Romanovski, Valery G. 12 Liao, Xiao Xin 11 Cao, Jinde 11 Chen, Fangqi 11 Huang, Wentao 11 Li, Zongcheng 11 Yao, Minghui 11 Zhang, Tonghua 10 Ding, Yuting 10 Du, Chaoxiong 10 Leonov, Gennadiĭ Alekseevich 10 Li, Jibin 10 Liao, Xiaofeng 10 van Gorder, Robert Ashton 10 Xiao, Min 9 Wei, Zhouchao 9 Zhang, Guangyun 9 Zhang, Wenling 8 Gazor, Majid 8 Niu, Ben 8 Sun, Zhongkui 8 Torregrosa, Joan 8 Wang, Qinlong 8 Xu, Jian 8 Zhang, Qingling 7 Algaba, Antonio 7 Bi, Qinsheng 7 Kapitaniak, Tomasz 7 Li, Jing 7 Liang, Wei 7 Wang, Hongbin 7 Xu, Wei 7 Zang, Hong 7 Zhang, Chunrui 6 Chen, Yufu 6 Chen, Yushu 6 Giné, Jaume 6 Guo, Laigang 6 Li, Chuandong 6 Li, Shimin 6 Liu, Feng 6 Liu, Yongjian 6 Wang, Duo 6 Wu, Yuhai 6 Wu, Yusen 6 Zou, Xingfu 5 Asheghi, Rasoul 5 Belozyorov, Vasiliy Ye. 5 Chen, Ting 5 Guan, Zhihong 5 Huang, Tingwen 5 Jafari, Sajad 5 Ju, Hyonhui 5 Kazemi, Rasool 5 Kuznetsov, Nikolay Vladimirovich 5 Leung, Andrew Yee-Tak 5 Moiola, Jorge Luis 5 Rodríguez-Luis, Alejandro J. 5 Wang, Guoliang 5 Wang, Hua O. 5 Wang, Wendi 5 Wang, Xingyuan 5 Wei, Minzhi 5 Wu, Zhiqiang 5 Xia, Yonghui 5 Xiao, Dongmei 5 Yang, Xiaoli 5 Yuan, Yuan 5 Zhang, Lijuan 5 Zhang, Xiang 5 Zhang, Xu 5 Zhong, Shou-Ming 5 Zhou, Hongxian 4 Awrejcewicz, Jan 4 Choudhury, Sumitra Roy 4 Elsonbaty, Amr R. 4 Fu, Yuli 4 Georgiev, Zhivko Dimitrov 4 Guo, Yuxiao 4 Huang, Lihong 4 Jiang, Jiao 4 Jiang, Jifa 4 Khusainov, Denis Ya. 4 Liang, Feng ...and 1,350 more Authors
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Cited in 151 Serials

 230 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 99 Chaos, Solitons and Fractals 92 Nonlinear Dynamics 49 Applied Mathematics and Computation 41 Communications in Nonlinear Science and Numerical Simulation 38 Journal of Differential Equations 33 Journal of Mathematical Analysis and Applications 28 Advances in Difference Equations 20 Mathematical Problems in Engineering 18 Chaos 18 Qualitative Theory of Dynamical Systems 17 Nonlinear Analysis. Real World Applications 14 Journal of Applied Analysis and Computation 12 Applied Mathematical Modelling 12 Abstract and Applied Analysis 12 Discrete Dynamics in Nature and Society 12 Discrete and Continuous Dynamical Systems. Series B 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Journal of the Franklin Institute 10 Complexity 9 Journal of Mathematical Biology 9 Physica D 8 Computers & Mathematics with Applications 8 Journal of Computational and Applied Mathematics 7 Applied Mathematics Letters 7 International Journal of Robust and Nonlinear Control 7 Journal of Difference Equations and Applications 6 International Journal of Systems Science 6 Applied Mathematics and Mechanics. (English Edition) 6 Mathematical and Computer Modelling 6 Acta Mathematica Sinica. English Series 6 Nonlinear Analysis. Modelling and Control 6 Journal of Applied Mathematics 5 International Journal of Control 5 Physics Letters. A 5 Optimal Control Applications & Methods 5 Bulletin des Sciences Mathématiques 4 Mathematical Biosciences 4 Mathematical Methods in the Applied Sciences 4 Nonlinearity 4 Automatica 4 Mathematics and Computers in Simulation 4 Meccanica 4 Circuits, Systems, and Signal Processing 4 Acta Mathematicae Applicatae Sinica. English Series 4 Journal of Symbolic Computation 4 Dynamics and Stability of Systems 4 Journal of Theoretical Biology 3 International Journal of Engineering Science 3 Bulletin of Mathematical Biology 3 Fuzzy Sets and Systems 3 Systems & Control Letters 3 Journal of Nonlinear Science 3 Discrete and Continuous Dynamical Systems 3 Differential Equations and Dynamical Systems 3 Regular and Chaotic Dynamics 3 Dynamical Systems 3 Journal of Applied Mathematics and Computing 3 SIAM Journal on Applied Dynamical Systems 3 Journal of Biological Dynamics 3 Science China. Technological Sciences 2 Acta Mechanica 2 Journal of Applied Mathematics and Mechanics 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Control and Optimization 2 Stochastic Analysis and Applications 2 Neural Networks 2 Journal of Dynamics and Differential Equations 2 Journal of Mathematical Chemistry 2 Doklady Mathematics 2 Journal of Shanghai University 2 Archives of Computational Methods in Engineering 2 Nonlinear Analysis. Hybrid Systems 2 International Journal of Biomathematics 2 Journal of Control Science and Engineering 2 Science China. Mathematics 2 Asian Journal of Control 2 Journal of Function Spaces 2 Open Mathematics 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 2 AMM. Applied Mathematics and Mechanics. (English Edition) 1 International Journal of Modern Physics B 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Biological Cybernetics 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physics Reports 1 Rocky Mountain Journal of Mathematics 1 Czechoslovak Mathematical Journal 1 International Journal of Circuit Theory and Applications 1 Mechanics Research Communications 1 Quarterly of Applied Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Theoretical Population Biology 1 Acta Applicandae Mathematicae 1 Signal Processing 1 Mathematica Bohemica ...and 51 more Serials
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Cited in 35 Fields

 733 Ordinary differential equations (34-XX) 436 Dynamical systems and ergodic theory (37-XX) 197 Systems theory; control (93-XX) 173 Biology and other natural sciences (92-XX) 71 Mechanics of particles and systems (70-XX) 59 Mechanics of deformable solids (74-XX) 42 Numerical analysis (65-XX) 39 Probability theory and stochastic processes (60-XX) 28 Partial differential equations (35-XX) 27 Information and communication theory, circuits (94-XX) 21 Difference and functional equations (39-XX) 19 Computer science (68-XX) 12 Fluid mechanics (76-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Real functions (26-XX) 7 Operations research, mathematical programming (90-XX) 4 Integral equations (45-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Commutative algebra (13-XX) 2 Operator theory (47-XX) 2 General topology (54-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX)