| 近几年发表和已接受发表的主要论文目录: 混沌理论: 1. Y. Shi and G. Chen, Chaos of discrete dynamical systems in complete metric spaces, Chaos, Solitons and Fractals 22(2004), 555-571. 2. Y. Shi and G. Chen, Discrete chaos in Banach spaces, Science in China Ser. A Mathematics, 48(2)(2005), 222-238 (English version), 34(5)(2004), 595-609 (Chinese version). 3. Y. Shi and G. Chen, Chaotification of discrete dynamical systems governed by continuous maps, Int. J. of Bifur. Chaos 15(2005), 547-556. 4. G. Chen, C. Tian, and Y. Shi, Stability and chaos in 2-D discrete systems, Chaos, Solitons and Fractals 25(2005), 637-647. 5. Y. Shi and P. Yu, Study on chaos induced by turbulent maps in noncompact sets, Chaos, Solitons and Fractals 28(2006), 1165-1180. 6. G. Chen and Y. Shi, Introduction to anti-control of chaos: theory and applications, Phil. Trans. R. Soc. A 364(2006), 2433-2447. 7.Y. Shi, P. Yu and G. Chen, Chaotification of discrete dynamical systems in Banach spaces, Int. J. of Bifur. and Chaos 16( 2006), 2615-2636. 8.Y. Shi and P. Yu, On chaos of the logistic maps, Dynamics of Continuous, Discrete, and Impulsive Systems, Series B: Applications and Algorithms 14(2007), 175-195. 9. Y. Shi and P. Yu, Chaos induced by regular snap-back repellers, J. Math. Anal. Appl. 337(2008), 1480-1494. 10. Z. Li, Y. Shi and C. Zhang, Chaos induced by heteroclinic cycles connecting repellers in complete metric spaces, Chaos, Solitons and Fractals 36(2008), 746-761. 11. W. Liang, Y. Shi and C. Zhang, Chaotification for a class of first-order partial difference equations, Int. J. of Bifur. Chaos 18(2008... 近几年发表和已接受发表的主要论文目录: 混沌理论: 1. Y. Shi and G. Chen, Chaos of discrete dynamical systems in complete metric spaces, Chaos, Solitons and Fractals 22(2004), 555-571. 2. Y. Shi and G. Chen, Discrete chaos in Banach spaces, Science in China Ser. A Mathematics, 48(2)(2005), 222-238 (English version), 34(5)(2004), 595-609 (Chinese version). 3. Y. Shi and G. Chen, Chaotification of discrete dynamical systems governed by continuous maps, Int. J. of Bifur. Chaos 15(2005), 547-556. 4. G. Chen, C. Tian, and Y. Shi, Stability and chaos in 2-D discrete systems, Chaos, Solitons and Fractals 25(2005), 637-647. 5. Y. Shi and P. Yu, Study on chaos induced by turbulent maps in noncompact sets, Chaos, Solitons and Fractals 28(2006), 1165-1180. 6. G. Chen and Y. Shi, Introduction to anti-control of chaos: theory and applications, Phil. Trans. R. Soc. A 364(2006), 2433-2447. 7.Y. Shi, P. Yu and G. Chen, Chaotification of discrete dynamical systems in Banach spaces, Int. J. of Bifur. and Chaos 16( 2006), 2615-2636. 8.Y. Shi and P. Yu, On chaos of the logistic maps, Dynamics of Continuous, Discrete, and Impulsive Systems, Series B: Applications and Algorithms 14(2007), 175-195. 9. Y. Shi and P. Yu, Chaos induced by regular snap-back repellers, J. Math. Anal. Appl. 337(2008), 1480-1494. 10. Z. Li, Y. Shi and C. Zhang, Chaos induced by heteroclinic cycles connecting repellers in complete metric spaces, Chaos, Solitons and Fractals 36(2008), 746-761. 11. W. Liang, Y. Shi and C. Zhang, Chaotification for a class of first-order partial difference equations, Int. J. of Bifur. Chaos 18(2008), 717-733. 12. Y. Shi, Chaos in first-order partial difference equations, J. Differ. Equ. Appl. 14(2008), 109-126. 13. Y. Shi and G. Chen, Chaos of time-varying discrete dynamical systems, J. Differ. Equ. Appl. 2008. In press. 14. Y. Shi, H. Ju and G. Chen, Coupled-expanding maps and one-sided symbolic dynamical systems, Chaos, Solitons and Fractals 2006. Accepted for publication. 15. X. Zhang, Y. Shi and G. Chen, Constructing chaotic polynomial maps, Int. J. of Bifur. Chaos 2008. Accepted for publication. 谱理论及其他: 1. Y. Shi and S. Chen, Spectral theory of second-order vector difference equations, J. Math. Anal. Appl. 239 (1999), 195-212. 2. Y. Shi and S. Chen, Spectral theory of higher-order discrete vector Sturm-Liouville problems, Linear Algebra and Its Applications 323(2001), 7-36. 3.Y. Shi, Symplectic structure of discrete Hamiltonian systems, J. Math. Anal. Appl. 266(2002), 472-478. 4. Y. Shi, Oscillation of self-adjoint second-order vector difference equations to the parameter, Comput. Math. Appl. 45(2003), 1591-1600. 5.Y. Shi, On the rank of the matrix radius of the limiting set for a singular linear Hamiltonian system, Linear Algebra and Its Applications 376(2004), 109-123. 6. Y. Shi, Spectral theory of discrete linear Hamiltonian systems, J. Math. Anal. Appl. 289(2004), 554-570. 7. J. Chen and Y. Shi, The limit circle and limit point criteria for second order linear difference equations, Comput. Math. Appl. 47(2004), 967-976. 8. Y. Wang and Y. Shi, Eigenvalues of second-order difference equations with periodic and antiperiodic boundary conditions, J. Math. Anal. Appl. 309(2005), 56-69. 9. G. Ren, Y. Shi, and Y. Wang, Asymptotic behavior of solutions of perturbed linear difference systems, Linear Algebra and Its Applications 395( 2005), 283-302. 10. Y. Shi, Weyl-Titchmarsh theory for a class of discrete Hamiltonian systems, Linear Algebra and Its Applications 416(2006), 452-519. 11. H. Sun and Y. Shi, Eigenvalues of second-order difference equations with coupled boundary conditions, Linear Algebra and Its Applications 414(2006), 361-372. 12. H. Sun and Y. Shi, Limit-point and limit-circle criteria for singular second-order linear difference equations with complex coefficients, Comput. Math. Appl. 52 (2006), 539-554. 13. G. Ren and Y. Shi, Asymptotic behaviour of dynamic systems on time scales, J. Differ. Equ. Appl. 12(2006), 1289-1302. 14. S. Sun, Y. Shi, and S. Chen, The Glazman-Krein-Naimark theory for a class of discrete Hamiltonian systems, J. Math. Anal. Appl. 327(2007), 1360-1380. 15. Y. Wang, Y. Shi, and G. Ren, Transformations for complex discrete linear Hamiltonian systems and symplectic systems, Bulletin of the Australian Mathematical Society 75(2007),179-191. 16. H. Sun and Y. Shi, Strong limit point criteria for a class of singular discrete linear Hamiltonian systems, J. Math. Anal. Appl. 336(2007), 224-242. 17. C. Zhang and Y. Shi, Eigenvalues of second-order symmetric equations on time scales with periodic and antiperiodic boundary conditions, Appl. Math. Comp. 2008. In press. 国际会议论文集 (国内会议论文略): 1. Y. Shi and P. Yu, ``Chaos induced by snap-back repellers and its applications to anti-control of chaos,'' Proc. of the 4th DCDIS International Conference on Engineering Applications and Computational Algorithms, Guelph, Ontario, Canada, July 27--29, 2005, pp. 364--369, 2. Y. Shi, P. Yu, and G. Chen, “Anti-control of discrete chaos in Banach spaces,” Proc. of the 5th EUROMECH Nonlinear Dynamics Conference, the Eindhoven University of Technology, The Netherlands, August 7--12, 2005, pp. 1191-1199. 3. Y. Shi and G. Chen, “Some new criteria of chaos induced by coupled-expanding maps”, Proc. of the 1st IFAC Conference on Analysis and Control of Chaotic Systems, Reims- France, June 28-30, 2006, pp. 157-162. Edited by Mohamed Djemai, Wei Kang, Noureddine Manamanni. 4. Y. Shi, “Chaos induced by coupled-expanding maps”, Proc. of the 2nd International Conference on Dynamical Vibration and Control, Beijing, China, August 23-26, 2006, pp. 184. Edited by Chinese Society of Theoretical and Applied Mechanics. 5. Y. Shi, “Snap-back repeller: theory and its applications”, Proc. of the Fourth Asia-Pacific Workshop on Chaos Control and Synchronization, Harbin, China, August 24-26, 2007, pp. 26. |