山東大學數學學院導師：史玉明 正文

　　史玉明，1963年生；教授、博士生導師。

　　學術經歷
　　2001— 山東大學數學學院，教授
　　1997—2000，山東大學數學學院，副教授
　　1996—1997，曲阜師范大學數學系，副教授

　　學術兼職
　　2004—2007.9 Dynamics of Continuous, Discrete and Impulsive Systems, Series B，編委
　　2009.12 — Abstract and Applied Analysis，編委
　　2010.1— International Journal of Bifurcation and Chaos，客座編委
　　2007 — 美國數學評論評論員

　　訪問經歷
　　2003— 多次訪問香港城市大學， Research Fellow，訪問教授
　　2004.10—2005.8，加拿大西安大略大學，訪問教授
　　2008.2—2008.5，香港理工大學，訪問教授

　　學習經歷
　　2006.6，山東大學，博士學位
　　1990.7，南開大學，碩士學位
　　1984.7，山東師范大學，學士學位

　　項目
　　2011—2014，非自治離散系統混沌理論及其應用，山東省自然科學基金面上項目，負責人
　　2011—2013，線性哈密頓系統譜分析，國家自然科學基金面上項目，負責人
　　2011—2013，非自治離散系統混沌理論，高等學校博士學科點專項科研基金項目，負責人
　　2007—2009，離散動力系統混沌理論及其應用，山東省自然科學基金面上項目，負責人
　　2005-2007，形式自伴差分算子的GKN理論及其譜理論，國家自然科學基金面上項目，負責人
　　2005—2007，離散動力系統混沌與混沌反控制，山東省優秀中青年科學家科研獎勵基金項目，負責人

　　論著
　　58.(with Q. Huang and L. Zhang) Chaotification of non-autonomous discrete dynamical systems, Int. J. Bifur. Chaos, 2011, accepted for publication.
　　57.(with L. Zhang, X. Zhang and W. Liang) Structural stability of maps with snap-back repellers in Banach spaces, J. Differ. Eq. Appl., 2011, accepted for publication.
　　56.(with W. Liang, C. K. Tse，Q. Huang, and Y. Wang) Study on the co-occurrence of character networks in Chinese essays from different periods, Science in China Ser. F，2011, accepted for publication.
　　55.The Glazman-Krein-Naimark theory for Hermitian subspaces, J. Operator Theory, 2011, in press.
　　54.(with G. Ren) Defect indices and definiteness conditions for discrete linear Hamiltonian systems, Appl. Math. Comp., 2011, in press.
　　53.(with X. Zhang and G. Chen) Some properties of coupled-expanding maps in compact sets, Proc. AMS, 2011, in press.
　　52.(with H. Sun) Self-adjoint extensions for singular second-order symmetric linear difference equations, Linear Algebra and Its Appl., 434(2011), 903-930. .
　　51.(with H. Sun) Self-adjoint extensions for singular linear Hamiltonian systems, Math. Nachr., 284(5-6)(2011), 797-814.
　　50.(with H. Lv) Error estimate of eigenvalues of discrete linear Hamiltonian systems with small perturbation. J. Differ. Equ. Appl., 17(6)(2011), 987-1015.
　　49.(with X. Zhang and G. Chen) Coupled-expanding maps under small perturbations, Discrete and Continuous Dynamical Systems, 29(3)(2011), 1291-1307.
　　48.(with Q. Xing) Distribution of maps with transversal homoclinic orbits in continuous map spaces, Abstract and Applied Analysis, vol. 2011, Article ID 520273.
　　47.(with G. Ren), The defect index of singular symmetric linear difference equations with real coefficients, Proc. Amer. Math. Soc., 138(2010), 2463-2475.
　　46.(with H. Sun) Self-adjoint extensions for linear Hamiltonian systems with two singular endpoints, J. Functional Analysis, 259(2010), 2003-2027.
　　45.(with Z. Li and W. Liang) Chaos induced by heteroclinic cycles connecting repellers in Banach spaces, Nonlinear Anal. TMA, 72(2010), 757-770.
　　44.(with R. Li) Several sufficient conditions of sensitive dependence on initial conditions, Nonlinear Anal. TMA, 72(2010), 2716-2720.
　　43.(with X. Zhang) Coupled-expanding maps for irreducible transition matrices, Int. Bifur. Chaos, 20 (2010), 3769–3783.
　　42.(with L. Zhang and X. Zhang) Chaotic dynamical behaviors of a one-dimensional wave equation, J. Math. Anal. Appl., 369(2010), 623-634.
　　41.(with G. Chen) Feedback Anti-Control of Chaos, in “Recent Progress in Controlling Chaos”, World Scientific Publishing Co. Pte Ltd, 2010, pp. 73-10.
　　40.(with H. Lv) Error estimate of eigenvalues of perturbed second-order discrete Sturm-Liouville problems, Linear Algebra Appl., 430(2009), 2389-2415.
　　39.(with H. Ju and G. Chen) Coupled-expanding maps and one-sided symbolic dynamical systems, Chaos Solit. Fract., 39 (2009), 2138-2149.
　　38.(with G. Chen) Chaos of time-varying discrete dynamical systems, J. Differ. Equ. Appl., 15 (2009), 429-449.
　　37.(with X. Zhang and G. Chen) Constructing chaotic polynomial maps, Int. J. Bifur. Chaos, 19(2009), 531-543.
　　36.(with M Lin, Y. Tang, and G. Chen) Simplest normal forms for planar systems on equilibrium manifolds, Int. J. Bifur. Chaos, 19 (2009), 1695-1707.
　　35.(with Z. Li) Chaotification of a class of discrete systems based on heteroclinic cycles connecting repellers in Banach spaces, Chaos Solit. Fract., 42(2009), 1933-1941.
　　34.(with W. Liang, C. K. Tse, J. Liu, Y. Wang, and X. Cui) Comparison of co-occurrence networks of the Chinese and English languages. Physica A, 388 (2009), 4901-4909.

　　33.(with C. Zhang), Eigenvalues of second-order symmetric equations on time scales with periodic and antiperiodic boundary conditions, Appl. Math. Comput., 203(2008), 284-296.
　　32.(with P. Yu) Chaos induced by regular snap-back repellers, J. Math. Anal. Appl., 337(2008), 1480-1494.
　　31.(with Z. Li and C. Zhang) Chaos induced by heteroclinic cycles connecting repellers in complete metric spaces, Chaos Solit. Fract., 36(2008), 746-761.
　　30.Chaos in first-order partial difference equations, J. Differ. Equ. Appl., 14(2008), 109-126.
　　29.(with W. Liang and C. Zhang) Chaotification for a class of first-order partial difference equations, Int. J. Bifur. Chaos, 18 ( 2008), 717-733.
　　28.(with S. Sun and S. Chen) The Glazman-Krein-Naimark theory for a class of discrete Hamiltonian systems, J. Math. Anal. Appl., 327 (2007), 1360-1380.
　　27.(with Y. Wang and G. Ren) Transformations for complex discrete linear Hamiltonian systems and symplectic systems, Bull. Austr. Math. Soc., 75(2007), 179-191.
　　26.(with H. Sun) Strong limit point criteria for a class of singular discrete linear Hamiltonian systems, J. Math. Anal. Appl., 336(2007), 224-242.
　　25.(with P. Yu) On chaos of the logistic maps, Dynamics of Continuous, Discrete, and Implusive Systems Ser. B, 14(2007), 175-195.
　　24.Weyl-Titchmarsh theory for a class of discrete Hamiltonian systems, Linear Algebra Appl., 416(2006), 452-519.
　　23.(with H. Sun), Eigenvalues of second-order difference equations with coupled boundary conditions, Linear Algebra Appl., 414(2006), 361-372.
　　22.(with H. Sun) Limit-point and limit-circle criteria for singular second-order linear difference equations with complex coefficients, Comput. Math. Appl., 52( 2006), 539-554.
　　21.(with G. Ren), Asymptotic behaviour of dynamic systems on time scales, J. Differ. Equ. Appl., 12(2006), 1289-1302.
　　20.(with P. Yu) Study on chaos induced by turbulent maps in noncompact sets, Chaos Solit. Fract., 28(2006), 1165-1180.
　　19.(with G. Chen) Introduction to anti-control of chaos: theory and applications, Philos. Trans. Roy. Soc. A, 364(2006), 2433-2447.
　　18.(with P. Yu and G. Chen) Chaotification of discrete dynamical systems in Banach spaces, Int. J. Bifur. Chaos, 16( 2006), 2615-2636.
　　17.(with Y. Wang) Eigenvalues of second-order difference equations with periodic and antiperiodic boundary conditions, J. Math. Anal. Appl., 309(2005), 56-69.
　　16.(with G. Ren and Y. Wang) Asymptotic behavior of solutions of perturbed linear difference systems, Linear Algebra Appl., 395( 2005), 283-302.
　　15.(with G. Chen) Chaotification of discrete dynamical systems governed by continuous maps, Int. J. Bifur. Chaos, 15(2005), 547-556.
　　14.(with G. Chen and C. Tian) Stability and chaos in 2-D discrete systems, Chaos Solit. Fract., 25(2005), 637-647.
　　13.On the rank of the matrix radius of the limiting set for a singular linear Hamiltonian system, Linear Algebra Appl., 376(2004), 109-123.
　　12.Spectral theory of discrete linear Hamiltonian systems, J. Math. Anal. Appl. 289(2004), 554-570.
　　11.(with J. Chen) The limit circle and limit point criteria for second order linear difference equations, Comput. Math. Appl., 47( 2004), 967-976.
　　10.(with G. Chen) Chaos of discrete dynamical systems in complete metric spaces, Chaos Solit. Fract., 22(2004), 555-571.
　　9.(with G. Chen) Discrete chaos in Banach spaces, Science in China Ser. A, 48(2)(2005), 222-238 (English version), 34(5)(2004), 595-609 (Chinese version).
　　8.Oscillation of self-adjoint second-order vector difference equations to the parameter, Comput. Math. Appl., 45(2003), 1591-1600.
　　7.Symplectic structure of discrete Hamiltonian systems, J. Math. Anal. Appl., 266(2002), 472-478.
　　6.(with S. Chen) Spectral theory of higher-order discrete vector Sturm-Liouville problems, Linear Algebra Appl., 323(2001), 7-36.
　　5.(with S. Chen), Spectral theory of second-order vector difference equations, J. Math. Anal. Appl., 239 (1999), 195-212.
　　4.(with S. Chen) Multiple positive solutions of singular boundary value problems, Indian J. Pure and Appl. Math., 30(9)(1999), 847-855.
　　3.On singular singularly perturbed nonlinear vector boundary value problems, Indian J. Pure and Applied Math., 28(1997), 679-695.
　　2.Singular perturbations for a higher-order nonlinear vector boundary value problems, Nonlinear Anal.,TMA, 28(1997), 1451-1464.
　　1.A singular perturbed nonlinear vector boundary value problem, J. Math. Anal. Appl., 187(1994), 919-942.

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