ZHANGroup: Publications

Publications

List of Publications:(100)

[1] Jing Zhujun .On mathematical analysis of mixed loops with scanning. ” Acta. Math. Appl. Sinica’. Vol. 3, 250–254, 1980.
[2] Jing zhujun. Study and numerical calculation of separate loop of differential equations in phase-looked loop. ”

Math. in Practice and Theory”, No. 4, 30–37, 1980.

[3] Jing zhujun. Periodic solutions of second-order differential equations x+fk−1(x)xk+ g(x) = 0. . ” Kexue Tongbao”.

Vol. 26, No. 16, 964–967, 1981.

[4] Jing Zhujun. On the existence of periodic solutions of the second-order differen tial equations. ” Acta Math. Appl.Sinica”.

Vol. 5, No. 1, 15–18, 1982.

[5] Jing zhujun. On the existence of periodic solutions for second-order non-autonomous differential equations. ”

Acta.Math. Sinica”. Vol. 25, No. 4, 403–409, 1982.

[6] Jing Zhujun. Limit cycles in reaction systems with second-order autocatalysis. ” Acta Math. Appl. Sinica”.

Vol. 6,No. 2, 183–190, 1983.

[7] Jing Zhujun. Application of qualitative methods of differential equations to study phase-locked loops. ” SIAM. J.Appl. Math”.

Vol. 43, No. 6, 1247–1258,1983.

[8] Jing Zhujun. Qualitative analysis of a mathematical model for tissue inflam mation dynamics. ”

Proceeding of the 1983 Fourth International Symposium on Differential Geometry and Differential Equations”.
Science Press, Beijing, China. 471–472, 1986.

[9] Jing Zhujn. Biomathematics–i: Mathematics and ecology. ”Math. in Practice and Theory”. No. 3, 1983.
[10] Jing Zhujun. Biomathematics–ii: Mathematics and biomedicine. ” Ibidem”. No. 4, 1983.
[11] Jing Zhujun. Biomathematics–iii: Mathematics and problems concerning the competitive exclusion and competitive

coexistence of ecological systems. ” Ibidem”. No. 2, 1984.

[12] Jing Zhujun. Qualitative analysis of mathematical model for respiratory process in bacterial culture. ”

Acta Math.Appl.Sinica”. Vol. 7, No. 3, 328–333, 1984.

[13] Jing Zhujun. Existence and uniqueness of cycle of differential equations for a predator-prey interactions. ”

Kexue Tongbao”. No. 9, 521–523, 1984.

[14] Jing Zhujun. Qualitative analysis of a triple–molecules model. ” Acta Math. Appl. Sinica”. Vol. 8, No. 1, 111–114,1985.
[15] Jing Zhujun. The existence of periodic solutions and application of bifurcation theory to a third-order nonlinear

autonomous system. ”Ann. Diff. of Diff.”. 2(2), 141–153,1986.

[16] Jing Zhujun. Qualitative analysis of a mathematical model for tissue inflammation dynamics. ” Acta Math. Sinica”.

New Series, Vol. 3, No. 4, 327–339, 1987.

[17] Jing Zhujun. Chaotic behavior in the Josephson equations with periodic force. ” Acta Math. Appl. Sinica”.

English Series, Vol. 4, No. 4, 289–295, 1988.

[18] Jing Zhujun. Local and global bifurcation for predator–prey system. ”Acta Math. Appl. Sinica”.

Vol. 12, No. 3, 333–342, 1989.

[19] Jing Zhujun. Analysis of Duffing’s equation with periodic force and without damping: Harmonic solution and subharmonic

solution and chaotic solution A study of bio-mathematical model of Aneurysm of Willis. ” Ann. Diff.”. 5(3), 297–306. 1989.

[20] Jing Zhujun. Local and global bifurcation and its application in a predator–prey system with several parameters. ”

Systems Science and Mathematical Sciences”. Vol. 2, No. 4, 337–352, 1989.

[21] Jing Zhujun. Global behavior and stability of biological system. ” J. of Beijing University of Iron and Steel Technology”.

Special Issue, 43–51, 1987.

[22] Jing Zhujun. Chaotic behavior in the Josephson equations with periodic force. ” SIAM. J. Appl. Math.”, Vol. 49, No. 6,1989.(SCI).
[23] Jing Zhujun,Liu Zengrong. Qualitative analysis for a mathematical model of AIDS. ” Acta Math. Appl. Sinica”. English Series,

Vol. 15, No. 3, 1993.

[24] Jing Zhujun. Mathematics–AIDS. ” Mathematics in Practice and Theory”. No. 4. 47–60. 1990.
[25] Jing Zhujun. A brief introduction to chaos. ”Mathematics in Practice and Theory”. No. 1, 81–94, 1991.
[26] Liu Zhengrong, Jing Zhujun. Qualitative analysis for a third-order differential equation in model of chemical system. ”

Systems Science and Mathematical Sciences”. Vol. 5, No. 4, 299–311,1992.

[27] Liu Zhengrong, Jing Zhujun. Hopf bifurcation and other dynamical behaviors for a fourth-order differential equation in model

of infections disease. ”Acta Math. Appl. Sinica”. English Series.Vol.10(4).1994.

[28] Shen Jiaqi, Jing Zhujun. A New detecting criterion of the Hopf bifurcation. ” Dynamical Systems”. World Science Publishing Co.,

Singapore, 1993.

[29] Liu Zhengrong, Jing Zhujun. Global and local bifurcations in non-symmetry perturbations of Hamiltonian System. ”

System Science and Mathematical Sciences”. Vol.8. 1995 .

[30] Guo Boling , Jing Zhujun. On the generalized Kuramoto–Sivashinsky type equations with the dispersive efforts, ”

Ann. Math. Res.”. Vol. 25, No. 2, 1992.

[31] Jing Zhujun. Applications of bifurcation and chaos theory in biological models for higher dimension. ”

Mathematics in Practice and Theory”, No. 4, 1992.

[32] Lin Yiping, Jing Zhujun. Dynamical behaviors for a three-dimensional differential equation in chemical system. ”

Acta. Math. Appl. Sinica, English Series”. Vol.5(1). 1995.

[33] Lin Yiping , Jing Zhujun. Dynamical analysis of a fourth-order populational mathematical model. ”

System Science andMathematical Science”. Vol.8(1).1995.

[34] Zhang Xiangsun, Jing Zhujun. Development of the concepts of model-construction in the ecological research. ”

Network Research in Resource, Ecology and Environment”. No. 4, 1991.

[35] Wu Tan, Jing Zhujun. Limit cycle of chemical reaction systems. ” Acta. Math. Appl. Sinica”. Vol. 18, No.4, 1995.
[36] Jing Zhujun, Zheng Xianwu. Harmonic and subharmonic bifurcation in Brussel model with periodic force. ”

Acta. Math.Appl.Sinica, English Series”. Vol.13, No.3,1997.

[37] Zheng Xianwu , Jing Zhujun. Monotonity and critical points of the period. ”Progress in Nature Sciences”.

vol.6, no.4,401-407, 1996.

[38] Zhao Xiaoqiang, Jing Zhujun. Global asymptotic behavior in some cooperative system of functional differential equations. ”~~Canadian Applied Mathematics Quarterly” .Vol.4,No.4, 421-44,1997(SCI).
[39] ZengWeiyao , Jing Zhujun. Exponential dichotomies and heteroclinic bifurcation in a degenerate case. ”

Science in China” .Vol.25 (A), 1995(SCI).

[40] Lin Yiping, Jing Zhujun, Zeng Xianwu. Dynamical behavior for a three-dimensional differential equation in chemical system. ”

Acta Mathematicae Applicatae Sinica”(English series). vol. 12, no.2,144-154, 1996 .

[41] Guo Bolin, Jing Zhunjun. Infinite-dimensional dynamical sustems. ” Mathematics in Practice and Theory”.

vol.26, no.2,90-96, 1996.

[42] Guo Bolin, Lu Bainian, Jing Zhujun. Spatiotemporal complexity of the cubic Ginzburg-Landau equation. ”

Communications in Nonlinear Science and Numerical Simulation”. vol.1, no.4,12-17, 1996.

[43] Guo Bolin, Lu Bainian, JIng Zhujun. Slow time-periodic solutions of cubicqninitic Ginzburg-Landan equation. ”

Progress in Natural Science”. Vol.8, No.5. 539-547, 1998.

[44] Xu Pencheng , Jing Zhun. Logistic map and Cantor set. ”Progress in Natural Science”.Vol.7, No.4. 416-421.1997.
[45] Jing Zhujun,Chan.K.Y,Xu Pencheng . Bifurcations and chaos behaviors in the Duffing’s equations with one and two

external periodic forces. ” Functional Analysis and Global Analysis” -Japan.-Proceeding of the Conference Held in Manila, ~~Philippiness, Oct 20-26,1996. Springer.1997.Editors:Toshikaxu Sunada and Polly Wee Sy.

[46] Wen Zhiying, Jin Zhujun. Introduction to fractal geometry and fractal dimensions. ”

Mathematics in Practice and Theory”.No.4,1995 .

[47] Polly wee Sy , Jing Zhun. Qualitative analysis of a Mathematical model for predator-prey system .

”Functionalanalysis and Global analysis” Japan -Proceeding of the Conference Held in Manila, Oct 20-26, 1997.
Springer. Editors:T.Sunada and Polly wee Sy.

[48] Zeng Weiyao, Jing Zhujun. Melnikov vectors and transversal heteroclinic orbits in degenerate cases. ”

ACTA. Math.Sinica”.Vol.40, No.2,213-220,1997.

[49] Hong Jialin ,Yuan Rong, JIng Zhujun. Exponentical dichotonies, almost periodic structurally stable differential equations,

and an example. ”J.Math.Anal.Appl”.vol,208(1),71-84,1997 (SCI).

[50] Qi Dongwen, Jing Zhujun. Bifucations of a pair of nonorientable heteroclinic cycles. ” J.Math. Anal. Appl”.

vol.222(2),1998 (SCI).

[51] Jing Zhujun,Wang Ynquan. Mulitiple limit cycles and global stability in predator-prey models . ”

ACTA math. Appl. Sinica”.Vol.15,No.2,1999.

[52] Wang Ynquan, Jing Zhujun. Periodic sequences and chaotic behaviors for a bimodel map. ”

Progress in Natural Science”. Vol.9(3), 1999.

[53] Jing Zhujun, Xu Pengcheng. Bifurcation of combination oscillations for Duffing’s equation with two external forceing terms. ”

Progress in Natural Science”. Vol,9(4),1999.

[54] Xu Pengcheng, Jing Zhujun. Minilkov orbits in coupled Duffing’s system. ”Chaos solitons and Fractals”.

V0l.11,853-858,2000 (SCI).

[55] Wang Yuquan , Jing Zhujun. Cubic Lienard equation with quadradic damping(1). ”ACTA.Math.Appl.Sinica”.

Vol.16,No.1,2000.1-11.

[56] Xu Pengcheng, Jing Zhujun. Quasperiodic solutions of Duffing’s equations with quasi-periodic perturbation. ”~~ACTA.Math.Appl.Sinica”.Vol15,No.4 .1999.
[57] H.Hethcot, Li Yi, Jing Zhujun. Hopf bifurcation in models forpertussis epidemiology.”Journal Mathematical and Computer

Modeling”Vol.30.29-45.1999.(SCI).

[58] Xu pengcheng, Jing Zhujun. Chaotic behavior for Duffing’s eguation with two external forcing terms.”

Progress in Natural Science”. Vol.9(3).171-179.1999.

[59] Liu Zhengrong,Cao Hongjun, Jing Zhujun. Bifurcation set and distrubution of limit cycles for a class of cubic Hamiltonian

system with the higher-order perturbed terms. ”Chaos, Soliton and Fractal”.Vol.11. 2293-2304, 2000(SCI)

[60] Wang Jingliang, Chen Lounan, Jing Zhujun. Chaos and asymptotical stability in Discrete time recurrent neural networks

with generalized input-output function. ”Science in China”.Vol.44,No.2.2001.193-2000.(SCI).

[61] Jinliang Wang, Jing Zhujun. Topological structure of chaos in discrete time neural networks with generalized input-output

function. ”Inter J of Bifurcation and chaos in Applied Sciences and Engineering”. Vol.11(8), 1835-1851,2001.(SCI).

[62] Jing Zhujun,Zhiyuan Jia,Chang Yu. Chaos behavior in the discrete FitzHugh never system. ” Science in China(Series A).

Vol.44(12),2571-1578, 2001. (SCI).

[63] Tang Minying,Wang Ruiqi , Jing Zhujun. Solitary waves and their bifurcations of KdV like equation with higher order nonlinearity.

”Science in China(Series A)”.Vol.45(9),1360-1370,2002.(SCI).

[64] Ruiqi Wang, Zhujun Jing. Bifurcation set and distribution of limit cycles for a class of seven-order Hamiltonian system

with fiftee n-order perturbed terms. ”Chaos, Solitons and Fractals”.Vol.13,61-69,2002.(SCI).

[65] Zhujun Jing,Houjun Cao. Bifurcations of periodic orbits in Josephson equation with a shifted phase backward.”

Inter J of Bifurcation and Chaos in Applied Sciences and Engineering”.Vol.12(7),1515-1530,2002.(SCI).

[66] Houjun Cao , Zhujun Jing. Chaotic dynamics of Josephson equation driven by constant dc and ac forcing.

in ”Chaos, Soliton and Fractals” .Vol.12(10), 1887-1895,2001,(SCI).

[67] Zhujun Jing,K.Y.Chan,Dashun Xu, Hongjun Cao . Bifurcations of periodic solutions and Chaos in Josephson system.

”Discrete and Continuous Dynamical Systems-Series A.” Vol.7(3), 573-592. 2001.(SCI).

[68] Jing Zhujun,Wang Jinliang. Bifurcation analysis and estimation of stabile region for turbine-generator shaft torsional oscillation.

” Automation of electric power systems”. vol.25(4),6-10,2001.(EI).

[69] Jing Zhujun,Zhiyuan Jia, Ruiqi Wang. Chaos behavior in the discrete BVP oscillator. ”Inter J of Bifurcation and Chaos

in Applied Sciences and Engineering”. Vol.12(3),619-627,2002.(SCI).

[70] Jing Zhujun,Jinliang Wang, Luonan Chen. Computation of limit cycle via higher-order harmonic balance approximation

and its application in electrical power systems. ”IEEE Transactions on circuits and systems-I: fundamental theory and
applications.” Vol.49(9),1360-1370, 2002.(EI).

[71] Jing Zhujun,Zhiyuan Jia, Yinhui Gao. Research of the stability region in a power system.” IEEE Transactions on Circuits

and Systems, Part 1.”Vol.50(20), 298-304,2003,(EI).

[72] Li Wei, Xu Pengcheng, JIng Zhujun. The existence of Silnikov’s orbits in one compled Duffing equation.

”Science in China(Series A)”, Vol.46(1),11-23, 2003.(SCI).

[73] Zhujun Jing, Dashun Xu, Luonan Chen, Yu Chang . Bifurcations, chaos, and system collapse in a three node power system.

”Electrical power and energy system”. Vol.25,443-461 ,2003.(EI).

[74] Tianshou Zhou, Jinhu Lu, Luonan Chen, Zhujun Jing, Yun Tang. On the optinal solutions for power flow equations.

” Electrical power and energy system”.25, 533-541,2003.(EI).

[75] Ruiqi Wang , Zhujun Jing. Chaos contral of chaotic pendulum system.” Chaos, Solitons and Fractals”.

21(1),201-207,2004. (SCI).

[76] Liu Zengrong,Wang Ruiqi, Zhujun Jing. Peaked wave solutions of Camassa-Holm equation.”

Chaos, Solitons and Fractals” 19(1),77-92,2004.(SCI).

[77] Jing Zhujun,Chang Yu, Guo Boling. Bifurcation and chaos in discrete FitzHugh-Nagumo system.

”Chaos, Solitons and Fractals”.21(3),701-720,2004. (SCI).

[78] Zhujun Jing,Chang Yu ,Chen Guanrong. Complex dynamics in a permanent-magnet synchronous motor model.

”Chaos, Solitons and Fractals”.22(4),831-848.2004.(SCI).

[79] Yuang Rong, Zhujun Jing. Qualitative behavior of output for sampled data feedback contral systems.

” Math.Comput. Modelling”.37(1-2),109-133,2003.(SCI).

[80] Yuang Rong, Zhujun Jing,Chen Luonan. Uniform asymptotic stability of hybrid dynamical systems with delay.

”IEEE Trans.Automat.Contral”.48(2), 344-348,2003.(SCI).

[81] Ruiqi Wang,Luonan Chen , Zhujun Jing. Modelling periodicoscillation in gene regulatory networks by cyclic feedback systems.

”Bulletin of Mathematical Biology” 1-32, 2004.(SCI).

[82] Ruiqi Wang, Zhujun Jing. Chaos control of chaotic pendulum system. ” Chaos Solitons and Fractals”.

21,201-207,2005. (SCI).

[83] Zhujun Jing,RuiqiWang. Complex dynamics in Duffing system with two external forcings. ”Chaos, Solitons and Fractals”.

23,399-411,2005. (SCI).

[84] Zhujun Jing, Jicai Huang . Bifurcation and chaos in a discrete genetic toggle switch system.

"Chaos, Solitons and Fractals”.23,887-908,2005.(SCI).

[85] Zhujun Jing,Yu Chang,Boling Guo., Bifurcation and chaos in discrete FitzHugh-Nagumo system.

"Chaos, Solitons and Fractals” 21,701-720,2004. (SCI).

[86] Ruiqi Wang, Zhujun Jing. Chaos control of Duffing system.”Chaos, Solitons and Fractals”. 21,201-207,2004. (SCI).
[87] Zhujun Jing, Jianping Yang. Bifurcation and chaos in discrete-time predator-prey system.

"Chaos, Solitons and Fractals” .27,259-277,2006.(SCI).

[88] Zhujun Jing,Jianping Yang, Wei Feng . Bifurcation and chaos in neural exitable system.

"Chaos, Solitons and Fractals”.27,197-215,2006. (SCI).

[89] Zhujun Jing, Zhiyan Yang , Tao Jiang. Complex dynamics in Duffing-Van der pol equatin.

"Chaos, Solitons and Fractals”. 27,722-747,2006. (SCI).

[90] Jiangping Yang, Wei Feng, Zhujun Jing. Complex dynamics in Josephson system with two external forcing terms.

”Chaos, Solitons and Fractals”30,235-256,2006.(SCI).

[91] Zhujun Jing, Jicai Huang, Jin Deng . Complex dynamics in three-well Duffing system with two external forcing.

”Chaos, Solitons and Fractals”.33,795-812,2007.(SCI).

[92] Zhou Zhan, Wang JinLiang, JIng Zhujun, Wang Ruiqi. Complex dynamical behaviors in discrete-time recurrent neural

network with non-symmetric connection matrix.”International Jounal of Bifurcation and Chaos in Applied Science and
Engineering.16(8),1-13,2006.(SCI).

[93] Zhujun Jing,Jiang Yang. Complex dynamics in pendulum equation with parametric and external excitations(I) .

”International Jounal of Bifurcation and Chaos", in Applied Science and Engineering.16(9),1-16,2006.(SCI).

[94] Zhujun Jing,Jiang Yang. Complex dynamics in pendulum equation with parametric and external excitations(II) .

”International Jounal of Bifurcation and Chaos in Applied Science and Engineering.16(10),1-26,2006.(SCI).

[95] Zhujun Jing,Jiang Yang. Inhibition of chaos in a pendulum equation. ”Chaos, Solitons and Fractals”.35,726-737, 2008.(SCI).
[96] Zhujun Jing,Jin Deng, Jiang Yang. Bifurcations of periodic orbits and chaos in damped and driven Morse oscillator.

”Chaos, Solitons and Fractals”.35,486-505,2008.(SCI).

[97] Jicai Huang, Zhujun Jing.Bifurcations and chaos in Duffing-Van der pol equatin with one external forcing.

”Chaos,Solitons and Fractals”(will appear- CHAOS-5969). (SCI).

[98] Zhujun Jing, Jialia Wang, Ruiqi Wang, Luonan Chen. Stability regions and power system collapse by geometric

singular perturbation analysis. ”International Journal of Electrical Power and Energy Systems”.( will appear-E2850).(EI).

[99] Jiangping Yang, Zhujun Jing. Cotrol of chaod in a three-well Duffing system. (submitted to ”Chaos, Solitons and Fractals”).
[100] Zhujun Jing, Zhiyan Yang , Tao Jiang.Bifurcations of periodic solutions and chaos in Duffing -Van der Pol equation

with one external forcing. ( submitted to ”Chaos, Solitons and Fractals” No. 60113).

Book Translated:

Jing zhujun, Zhang Xiangsun. Chinese version of The Beauty of Fractals.

H.O.Peitgen and P.H.Richter. Springer- Verlag. 1986. Science Publisher, Bei jing.1994.