Tian Ruilan

                              

Ph.D., Associate Professor

Department of Mathematics and Physics, Shijiazhuang Tiedao University

Education

•Ph.D., Engineering Mechanics, Tianjin University

•M.S., Applied Mathematics, Tianjin University

•B.S., Applied Mathematics, Shandong normal University


Research Areas

         Nonlinear Dynamics

         Dynamic modelling and numerical simulations

         Impulsive system


Research Profile

Dr. Ruilan Tian is an Associate Professor of Mathematics in Shijiazhuang Tiedao University. Her research fields include nonlinear dynamics, impulsive system. Dr. Tian teaches Advanced Mathematic, Modern Algebra, Function of One Complex Variable, Nonlinear Vibrations at Shijiazhuang Tiedao University.She o has published more than 15 papers in top journals.


 

Selected Recent Publications

[1]     Ruilan Tian, Qingjie Cao, Shaopu Yang, The Codimension Two Bifurcation for the Recent Proposed SD Oscillator, Nonlinear Dynamics, 2010, 59(1-2): 19-27.

[2]     Ruilan Tian, Qingjie Cao, Zhixin Li, Hopf Bifurcations for the Recently Proposed Smooth-and-Discontinue Oscillator, Chinese Physics Letters, 2010, 27(7): 0747011-4.

[3]     Ruilan Tian, Xinwei Yang, Qingjie Cao, Qiliang Wu, Bifurcations and Chaotic Threshold for a Nonlinear System with an Irrational Restoring Force, Chinese Physics B,2012, 21,2: 0205031-12

[4]     Ruilan Tian, Xinwei Yang, Qingjie Cao, Yanwei Han, The Study on the Mid-span Deflection of a Beam Bridge under Moving Loads Based on SD Oscillator, International Journal of Bifurcation and Chaos, IJBC, 2012

[5]     Ruilan Tian, Qichang Zhang, Xuejun He, Calculation of coefficients of simplest normal forms of Hopf and generalized Hopf bifurcations, Transactions of Tianjin University,2007, 13( 1): 18-22.

[6]     Ruilan Tian, Fangqi Chen, The Solutions of Initial Value Problems for Nonlinear Impulsive Integro-Differential Equations in Banach Space, Chinese Journal of Engineering Mathematics, 2007, 24(3): 431-436.

[7]     Ruilan Tian, Fangqi Chen, Solutions for a class of nonlinear integro-differential equaton on unbounded domains, 2008, 28 (1): 076-082.

[8]     Qichang Zhang, Ruilan Tian, Wei Wang,Chaotic characters of mechanically and electrically coupled nonlinear dynamical systemsActa Physica Sinica, 2008, 57(5): 2799-2804.

[9]     Fangqi Chen, Ruilan Tian, Yushu Chen, Solutions for second order impulsive integro-differential equation on unbounded domains in Banach spaces, Applied Mathematics and Mechanics, 2006, 27( 6): 721-729.

[10] Qichang Zhang, Ruilan Tian, Codimension-2 dynamical bifurcation of an electrome chanical coupled nonlinear dynamic system, Engineer MechanicsS,2009, 26(1): 216-220.

[11] Qichang Zhang, Ruilan Tian, Xiaotao Li, General program of calculating the simplest normal forms for highdimensional nonlinear dynamical systems, Journal of Vibration Engineering, 2008, 21(5): 436-440.

[12] Fangqi Chen, Ruilan Tian, Existence of solutions to nonlinear impulsive Volterra integral equations in Banach spaces, Transactions of Tianjin University, 2005, 11(2): 152-155.

[13] Qichang Zhang, Ruilan Tian, Calculation of Coefficients of Simplest Normal Forms of Neimark-Sacker and Generalized Neimark-Sacker Bifurcations, Journal of Physics, 2008, 96(012152).

[14] Xinwei Yang, Ruilan Tian, Honggao Man,Chaotic Characters of Nonlinear System Based on Magnetorheological DamperJournal of Mechanical Strength2011, 32(150): 546-549

[15] Wei Wang, Qichang Zhang, Ruilan Tian, Shilnikov sense chaos in a simple three-dimensional system, Chin. Phys. B, 2010, 19(3): 030517

[16] Qingjie Cao, Ning Han, Ruilan Tian, A Rotating Pendulum Linked by an Oblique Spring, Chinese Physics Letters, 201128 (6): 060502