Keonhee Lee

I am a Professor of Math Department at Chungnam National University
           Currently visiting the University of Washington in Seattle

Contact

Email khlee@cnu.ac.kr
Phone +82-42-821-6534 (Office)
+82-42-821-1856 (Fax)
Address Department of Mathematics
Chungnam National University
Daejeon, 305-764, Korea
Office #1224 Natural Sciences Building
khlee

Teaching : Spring, 2009

         Topics in Topology(Undergraduate)
         Introduction to Dynamical Systems(Graduate)


Research Interest :

Differentiable Dynamical Systems
  • Hyperbolic Dynamics, Shadowing Theory
  • Dynamics Beyond Uniform Hyperbolicity
  • Chaotic Dynamics, Bifurcation Theory
  • Ergodic Theory, Symbolic Dynamics, etc

    • Publications

  • Stably inverse shadowable transitive sets and dominated splitting (with M. Lee), to appear in Proc. Amer. Math. Soc. (2011)  
     
  • Hyperbolicity of c1 stably expansive homoclinic classes (with M. Lee), Discrete Contin. Dynam. Syst. 27 (2010), 1133-1145..

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  • Energy Decay for the strongly damped nonlinear beam equation and its applications in moving boundary (with J. Kim), Acta Appl. Math. 109 (2010), 507-525.

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  • Proceeding of the 2008 International Workshop on Dynamical Systems and Related Topics, Trends in Mathematics Vol 10, No 2 (2008)--special volume.

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  • Structural stability of vector fields with orbital inverse shadowing (with Z. Lee and Y. Zhang), J. Korean Math. Soc. 45 (2008), 1505-1522.

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  • c1-stable shadowing diffeomorphisms (with K. Sakai and K. Moriyasu), Discrete and Continuous Dynamical Systems 22 (2008), 683-697.

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  • Structural stability of vector fields with shadowing (with K. Sakai), Journal of Differential Equations 232 (2007), 303-313.

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  • Characterization of omega-stability and structural stability via inverse shadowing (with T. Choi and Y. Zhang), Bull. Austral. Math. Soc. 74 (2006), 185-196.

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  • Various inverse shadowing in linear dynamical systems (with T. Choi), Comm. Korean Math. Soc. 21 (2006), 515-526.

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  • Weak inverse shadowing and genericity (with T. Choi and S. Kim), Bull. Korean Math. Soc. 43 (2006), 43-52.

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  • Attractors under discretizations with variable stepsize (with B. Garay) Continuous and Discrete Dynamical Systems 13 (2005), 827-841.

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  • Various shadowing properties and its equivalence (with K. Sakai), Continuous and Discrete Dynamical Systems 13 (2005), 533-540.

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  • Proceeding of the 2004 International Workshop on Dynamical Systems and Related Topics, Trends in Mathematics Vol No (2004)--special volume.

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  • Inverse shadowing for structurally stable flows (with Y. Han), Dynamical Systems: An International Journal 19 (2004), 371-388.

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  • On the Aleksandrov problem in linear n-normed spaces (with H. Chu and C. Park), Nonlinear Analysis TMA 59 (2004), 1001-1011.

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  • Inverse shadowing of circle maps (with J. Park), Bull. Austral. Math. Soc. 69 (2004), 353-359.

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  • Inverse shadowing for expansive flows (with Z. Lee), Bull. Korean Math. Soc. 40 (2003), 701-711.

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  • Continuous inverse shadowing and hyperbolicity, Bull. Austral. Math. Soc. 67 (2003), 15-26.

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  • Bishadowing and hyperbolicity (with P. Diamond & Y. Han), International J. of Bifurcation and Chaos 12 (2002), 1779-1788.

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  • Hyperbolic sets with the strong limit shadowing property, Journal of Inequalities and Applications 6 (2001), 507-517.

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  • Chaotic behbviour of chain components in bishadowing systems (with T. Choi), J. Korean Math. Soc. 38 (2001), 613-621.

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  • Topological stability of inverse shadowing systems (with J. Lee), J. Chungcheong Math. Soc. 13 (2000), 53-63.

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  • Hyperbolic manifolds with the strongly shadowing property (with J. Kim), Bull. Austral. Math. Soc. 60 (1999), 37-43.

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  • Hyperbolic manifolds with the strongly shadowing property, Proceedings of China/Korea Joint Seminar: Dynamical systems and their application, 1998 (129-137).

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  • Differentiable dynamical systems, Trends in Math. 1 (1998), 69-73.

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  • The Closing Lemma for chain recurrence in compact surfaces (with S. Choi and J. Park), Bull. Korean Math. Soc. 35 (1988), 559-562.

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  • Orbital Lipschitz stability and exponential asymptotic stability in dynamical systems (with J. Kim and K. Kye), J. Korean Math. Soc. 35 (1998), 449-463.

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  • Weak attractors in flows on noncompact spaces, Dynamic Systems and Applications 5 (1996), 503-520.

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  • The Closing Lemma for chain recurrence on nocompact spaces (with S. Choi and J. Park), J. Chungcheong Math. Soc. 9 (1996), 199-207.

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  • Weak attractors and Lyapunov-like functions (with J. Kim and Y. Kye), Comm. Korean Math. Soc 11 (1996), 457-462.

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  • Embeddings of Lipschitz stability in flows (with C. Chu), Nonlinear Analysis TMA. 26 (1996), 1749-1752.

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  • Points which satisfies the closing lemma (with J. Park), Far East J. Math. Sci. 3 (1995), 171-177.

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  • Hyperbolic homeomophisms (with J. Park and K. Koo), Bull. Korean Math. Soc. 32 (1995), 93-102.

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  • An extended version of integral continuity theorems (with J. Kim and Y. Kye), J. Chungcheong Math. Soc. 7 (1994), 193-197.

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  • Genericity of C-stability in dynamical systems (with J. Kim and Y. Kye), Far East J. Math. Sci. 1 (1993), 191-200.

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  • Lipschitz stability and Lyapunov stability in dynamical systems (with C. Chu and M. Kim), Nonlinear Analysis TMA. 19 (1992), 901-909.

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  • Lipschitz stability and exponential asymptotic stability in dynamical systems (with S. Choi and K. Koo), J. Korean Math. Soc. 29 (1992), 175-190.

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  • Consequences of Lipschitz stability (with S. Choi and K. Koo), J. Chungcheong Math. Soc. 5 (1992), 65-74.

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  • Recurrence in persistent dynamical systems (with C. Chu and S. Choi), Bull. Austral. Math. Soc. 43 (1991), 509-517.

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  • Chain recurrence and residual sets (with J. Park and S. Choi), Comm. Korean Math. Soc. 6 (1991), 31-38.

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  • Chain recurrence in persistent dynamical systems (with K. Koo and S. Choi), J. Chungcheong Math. Soc. 3 (1990), 1-11.

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  • Topological covering morphims of topological groupoids ?, SEA Bull. Math. Soc. 14 (1990), 129-134.

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  • Weak near periodicity in dynamical systems, Nonlinear Analysis TMA. 15 (1990), 399-404.

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  • Stability in topological dynamics (with C. Chu and S. Choi), Comm. Korean Math. Soc. 4 (1989), 209-216.

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  • Stability theory for ordinary differential equations (with S. Choi and H. Oh), J. Chungcheong Math. Soc. 1 (1988), 11-17.

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  • Recurrence in Lipschitz stable flows, Bull. Austral. Math. Soc. 38 (1988), 197-202.

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  • Recurrence in pseudo-nonexpansive flows, J. Korean Math. Soc. 24 (1987), 53-58.

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  • Toplogical covering morphisms of topological groupoids, J. Korean Math. Soc. 24 (1987), 1-9.

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  • Groupoid as a covering space (with J. Park), Bull. Korean Math. Soc. 21 (1984), 67-75.

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  • Commutativity of the fundamental groups, J. Korean Math. Soc. 18 (1981), 15-19.

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    Research Grants (since 2000)

  • Hyperbolic Structure of Homoclinic Classes in Differentiable Dynamical Systems
       Project NO : KRF-2008-313-C00081
       Period : 1/Nov/2008 - 31/Oct/2011 supported by KRF

  • Qualitative Theory of Dynamical Systems with Various Shadowing and its Application
       Project NO : KRF-2005-070-C00015
       Period: 1/Sep/2005 - 31/Aug/2008 supported by KRF

  • Geometric Theory of Dynamical Systems
       Project NO : KRF-2003-042-C00008
       Period : 1/Dec/2003 - 31/Nov/2004 supported by KRF

  • Dynamical Systems under Numerical Methods
       Project NO : KRF-2000-DA0015
       Period : 1/Sep/2001 - 31/Aug/2003 supported by KRF

  • Global Stability of Nonlinear Systems and Its Applications
       Project NO : R01-2000-00005,
       Period : 1/Sep/2000 - 31/Aug/2005 supported by KOSEF


    • Brain Korea 21 Math Vision 2013 Project

  • Period: 1/Mar/2006 - 28/Feb/2013 supported by
       Ministry of Education, Korea

    • Workshops on Dynamical Systems

  • ICM 2010 Satellite Conference
  • Joint Meeting of KMS and AMS
  • 2009 Workshop on Measurable and Topological Dynamical Systems in Asia
  • 2008 Workshop on Dynamical Systems and Related Topics: proceeding
  • 2006 Workshop on Dynamical Systems and Related Topics
  • 2004 Workshop on Dynamical Systems and Related Topics: proceeding

    • ©2009 Keonhee Lee. All rights reserved.       Last Update: March 20, 2009