 Personalities |
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Research |
| ¡ôHigh Education |
- PhD: Nonlinear Dynamics, Tianjin University, Octomber, 1991;
- MsC: Applied mathematics, Qufu Normal University, August 1988;
- BsC,Mathematics, Qufu Normal University,?January, 1981.
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| ¡ôResearch Experience |
- 2007.4-, professor, Centre for Nonlinear Dynamics Research, Shijiazhuang Railway Institute, Shijiazhuang 050043 China;
- 2009.1-2009.2, Short Visitor at Centre for Applied Dynamics Research, Aberdeen University, Aberdeen AB24 3UE;
- 2003.10- Research Fellow, Discontinuous system modelling in engineering systems, Department of Engineering, Aberdeen University, Aberdeen, AB24 3UE,UK;
- 2000.4-2003-8,Research Fellow, Modelling a frictional system, Department of Engineering, Liverpool University, Liverpool, L69 3GH,UK;
- 1999.8-2000.2,Scholarship, Department of Ship Science, Southampton University, Southampton, SO17 1BJ,UK;
- 1994.8-1995.7,Royal Society Visiting Research Fellow, Department of Mathematics, Brunel University, Uxbridge, Middlesex, London, UB8 3PH,UK;
- 1994.1£2007.3, Professor, School of mathematics, Shandong University;
- 1991.10-1993.12, Post Doctorate£¬Tianjin University;
- 1981.2-1991.9, Lecturer£¬Qufu Normal University,
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| ¡ôTeaching |
- Ordinary Differential Equation;
- Stability of Differential Equation;
- Qualitantive theory of Differential Equation;
- Nonlinear Dynamical Systems:Chaos, Bifurcations
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| ¡ôExternal Contributions |
- Directer Member, Math Society of Shandong Province,1995-2003;
- Directer Member, Mechanics Society of Shandong Province,1995-2003;
- Directer Member, NonlinearSociety of China,1999-2003;
- Directer Member,Dynamics and Control of China,1995-2003.
- Member,Complex System Society,UK,2001-
- Editor board£ºInternational Journal of Computer Mathematics,2007-2008
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| ¡ôPrevious Fundings |
- Soliton, Bifurcation and chaos of a class of generalised nonlinear equation, National Science Foundation of China, 1999-2001, 19872041
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Applications of soliton solutions of a class of generalised evolution equation, Shandong Natural Science Foundation, China, 1999-2001,Y98A73016
- Applications of Naval dynamic on Soliton theory, China Scholarship Council, 98837129, 1999-2000.
- Stability, Vibration and Control of Higher Speed Rotators, Tianjin Natural Science Foundation, Tianjin, China,1994-1996, Q94B203011.
- The Study of Stochastic Vibration and Bifurcation, National Science Foundation of China, China, 19302015,1994-1996
- Some Problems in Stochastic Nonlinear Vibration, Royal Society, QCAO-A93025,1994-1995
- Soliton solutions for a class of nonlinear wave equation, Shandong Natural Science Foundation, China, Y96A23035,1996-19988.Properties of Soliton solutions for a class of generalized nonlinear wave equation, China Scholarship Council, 96623712, 1996-199
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| ¡ôCurrent Fundings |
- SD Oscillator, SJZRI, 211025, 300,000RMB£¬2007-2009.
- SD Oscillator and its applications, NSFHC, 08M003£¬20,000RMB£¬2008.1 --- 2010.12.
- Nonlinear Dynamics of SD Oscillator, NSFC, 10872136, 400,000RMB£¬ 2009.1--2011.12.
- SD Theory and Applications£¬Scholarship£¬50,000RMB£¬2008.1 --- 2010.12
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| ¡ôInvited speech |
- Cao Q, Brief Introduction to in SD oscillator, APM2009,St Petersburg,Russian,30 June-5 July 2009.
- Cao Q, Codimension two Phenomena for the SD oscillator, RANM2009, Kuala Lumpur, Malaysia,23-27 August 2009.
- Cao Q, SD Attractor and the new advances£¬CAS£¬Beijing, Octomber 2008¡£
- Cao Q, The Proposed SD Attractor, Shanghai Normal University£¬Octomber, 2007¡£
- Cao Q, Modelling of the Car Disc Brake Squeal: A New Theoretical Approach, Jinan, Shandong University,13 May 2004.
- Cao Q, Non-linear Dynamics and Applications:Disc-Brake Squeal Problem: Modelling and Analysis,Aberdeen, 03 September 2003.
- Cao Q, Modelling of the Car Disc Brake Squeal: A New Theoretical Approach, Liverpool,13 May 2002.
- Cao Q, Periodic motion, Soliton and Chaos in nonlinear evolution equations,Brunel University, 10 October 1999.
- Cao Q, The computation methods in soliton and chaos of a class of nonlinear evolution equations, National Computational Mathematics Conference,Yantai,China,10-11 August 1999.
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| ¡ôPublications |
- The codimension two bifurcations for the recent proposed SD oscillator,[ PDF Format]
Tian Ruilan, Cao, Qing-Jie£¬Yang Shaopu£¬Nonlinear? Dynamics (2009) .
- The limit case response of the archetypal oscillator for smooth and discontinuous dynamics: [ PDF Format]
Cao, Qing-Jie£¬Wiercigroch, M.; Pavlovskaia, E.E.; Grebogi, C.; Thompson, J.M.T.£¬International Journal of nonlinear Mechanics 43 (2008) 462 ¨C 473.
- Piecewise linear approach to an archetypal oscillator for smooth and discontinuous dynamics:[PDFFormat]
Phil. Tran. of the Royal Society A.pdf
Cao, Qing-Jie£¬Wiercigroch, M.; Pavlovskaia, E.E.; Grebogi, C.; Thompson, J.M.T.£¬
- Archetypal oscillator for smooth and discontinuous dynamics: [ PDF Format]
Cao, Qingjie£¬Wiercigroch, Marian; Pavlovskaia, Ekaterina E.; Grebogi, Celso; T. Thompson, J. Michael£¬Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v 74, n 4, 2006, p 046218
- Q. Cao£¬M. Wiercigroch£¬E E Pavlovskaia£¬ C Grebogi and JMT Thompson£¬ Advances in study on the SD oscillators £¬Science and Technology Review£¬2007£¬Vol.25,No.23:33-37
- Q. Cao£¬M. Wiercigroch£¬E E Pavlovskaia£¬ C Grebogi and JMT Thompson£¬SD Oscillator£¬SD attractor and its applications£¬Journal of Vibration Engineering£¬2007£¬Vol.20, No.7:454-458
- Q. Cao£¬M. Wiercigroch£¬E E Pavlovskaia£¬ C Grebogi and JMT Thompson£¬SD oscillator from smooth to discontinuous dynamics£¬CACAM-2007£¬21st Canadian Congress of Applied Mechanics£¬ Ryerson University Toronto£¬ Canada£¬ June 3-7£¬ 2007.
- Q. Cao£¬M. Wiercigroch£¬E E Pavlovskaia C Grebogi and JMT Thompson£¬The SD oscillator and its attractors J.Phys.: Conf.Ser.96,2008, 012064 (6pp) doi:10.1088/1742-6596/96/1/012064
- Q. Cao£¬M. Wiercigroch£¬E. E. Pavlovskaia£¬ Local bifurcations analysis for the model of impact percussive drilling system£¬International Conference on Advances in nonlinear Mechanics£¬Aberdeen £¬July 29-August 1£¬2005.
- X. Lai£¬Q. Cao£¬Some finite difference methods for a kind of GKdV equations£¬Communications in Numerical Methods in Engineering£¬2007£¬Vol.23£¬No.3:179-196
- Q.Cao£¬X. Lai£¬Twizell£¬E.H£¬The global domain of attraction and the initial value problems of a kind of GKdV equations£¬CHAOS SOLITONS FRACTALS£¬2005 Vol.23, No.5:1613-1628
- L. Xu£¬M.W.Lu, Q. Cao£¬Nonliner vibrations of dynamial systems with general form of piecewise-linear viscous damping by incremental harmonic balance method£¬Physics Letters A£¬2002 Vol 301,No.1-2:65-73.
- L. Xu£¬M.W.Lu, Q. Cao£¬Incremental Harmonic Balance Computation Scheme for a Class of Piecewise-linear Circuit Systems, Chinese Journal of Computation Physics, 2003, Vol.20, No.2:107-110
- L. Xu£¬M.W.Lu, Q. Cao£¬Analysis Of Dynamic Properties Of Forced Van Der Pol Equation With Ihb Method£¬ Mechanics And Engineering£¬2003 Vol.25,No.1: 50-53
- L. Xu£¬M.W.Lu, Q. Cao£¬Bifurcation and chaos of a harmonically excited oscillator with both stiffness and viscous damping piecewise linearities by incremental harmonic balance method£¬Journal of Sound and Vibration 2003 Vol.264,No.4: 873-882.
- L. Xu£¬M.W.Lu, Q. Cao£¬Nonlinear Dynamical Bifurcation Analysis of Van der Pol-Duffing Equation, Chinese Journal of Applied Mechanics, 2002,Vol.19, No.04:130-133
- Q. Cao£¬M.I. Friswell£¬H. Ouyang£¬J.E. Mottershead£¬Linear Eigenvalue Analysis of the Disc-Brake Squeal Problem£¬International Journal for Numerical Methods in Engineering£¬2004 Vol.61.No.9: 1546-1563
- Q. Cao£¬M.I. Friswell£¬H. Ouyang£¬J.E. Mottershead£¬S. James£¬ Car disc brake squeal: Theoretical and experimental study£¬Mater Science Forum 2003, 440-4:269-276
- Q. Cao£¬H. Ouyang£¬J. E. Mottershead£¬A methodology for the determination of dynamic instabilities in a car disc brake. Proc.Instn Mech. Engrs Vol217. J.Automobile Engineering£¬2003£¬867-875
- Q. Cao£¬Ouyang H and Abu Bakar A R£¬Interface pressure distributions through structural modifications. Proc. of the 21st Annual SAE Brake Colloquium and Exhibition£¬SAE Paper 2003-01-3332£¬161-166
- Q. Cao£¬H Ouyang£¬J E Mottershead£¬D J Brookfield and S. James£¬Stick-slip vibration in a disc brake system£¬Braking 2002£¬From the Driver to the Road£¬The Royal of Armouries£¬Leeds£¬UK£¬10-12£¬July 2002:101-108
- Q. Cao£¬Ouyang Huajiang£¬Vibration and squeal of a car disc brake:Modelling and Experimental Vibration£¬ National Solid Mechanics Conference£¬Dalian 2002£¬2002.8.19-21.
- Cao Q; Xu L; Djidjeli K; Price WG; Twizell EH£¬ Analysis of period-doubling and chaos of a non-symmetric oscillator with piecewise-linearity£¬ Source:Chaos Solitons Fractals 2001£¬ Vol 12£¬No. 10£¬pp 1917-1927
- Twizell E.H£¬Gumel A.B£¬Q. Cao, A second-order scheme for the "Brusselator" reaction-diffusion system£¬ Journal Of Mathematical Chemistry£¬1999£¬Vol.26£¬No.4£¬pp.297-316
- Q. Cao£¬Soliton£¬Bifurcation and Chaos for a Class of Generalised Evolution Equations£¬Chinese Science Abstracts (Research paper)£¬2000£¬Vol.6.£¬No.2:181-182
- Q. Cao£¬W. G.Price£¬K. Djidjeli£¬E.H. Twizell£¬Applications of the£¬Six-points Scheme for GNLS equations£¬ Applied Mathematics£¬JCU£¬14B£¬1999£¬Vol.14.£¬No.1:21-29
- Q. Cao£¬W. G. Price£¬K.Djidjeli and E.H. Twizell£¬Chaotic Behavior of a vibration System in the Presence of Quartic Nonlinearity, Proceeding of the International Conference on the Integration of Dynamics£¬Monitoring and Control£¬Manchester United Kingdom£¬1-3 September 1999£¬330-335.
- Q. Cao£¬W. G. Price£¬K. Djidjeli£¬E.H.Twizell£¬Periodic and chaotic behaviour in a reduced form of the perturbed generalised KdV and KP equations£¬Physica D£¬125 (1999)201-221
- Q. Cao£¬W.G. Price£¬K. Djidjeli and E.H. Twizell£¬Computational methods for some nonlinear wave equations£¬Journal of Engineering Mathematics£¬35:323-338£¬ 1999.
- Q. Cao£¬T. Zhang£¬J. Li£¬Study of the Static and Global Bifurcations for Duffing Equation£¬Applied Mathematics and Mechanics£¬Vol.20£¬No.12.1999£¬pp:1308-1316.
- Q. Cao£¬T. Zhang£¬J. Li£¬ Study Of Soliton Solutions Of A Class Of Generalized Nonlinear Schrdinger Equations In N Space, ACTA Physica Sinica, 1997, Vol.46,No.11:2166-2173.
- T. Zhang, Q. Cao£¬G.W. Price, K. Djidjeli,E.H. Twizell, Source: Korean Journal of Computational Applied Mathematics, 1998, Vol.5,No.3:525-541
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| Contacts |
| Post Code£º |
050043¡¡ |
| Email£º |
Qingjiecao@hotmail.com |
| Telephone£º |
0311-87936096¡¡ |
| Address£º |
Department of Mathe mathematics and Physics, Shijiazhuang Railway Institute, Shijiazhuang China |
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