All Stories

  1. Orbital shadowing property on chain transitive sets for generic diffeomorphisms

    Article • Acta Universitatis Sapientiae Mathematica, July 2020, De Gruyter

    Manseob Lee

  2. Lyapunov stable homoclinic classes for smooth vector fields

    Article • Open Mathematics, August 2019, De Gruyter

    Manseob Lee

  3. Asymptotic orbital shadowing property for diffeomorphisms

    Article • Open Mathematics, April 2019, De Gruyter

    Manseob Lee

  4. Robustly measure expansiveness for C1 vector fields

    Article • Quaestiones Mathematicae, March 2019, Taylor & Francis

    Manseob Lee

  5. Vector fields satisfying the barycenter property

    Article • Open Mathematics, January 2018, De Gruyter

    Manseob Lee

  6. Topological entropy for positively weak measure expansive shadowable maps

    Article • Open Mathematics, January 2018, De Gruyter

    Manseob Lee

  7. Weak measure expansiveness for partially hyperbolic diffeomorphisms

    Article • Chaos Solitons & Fractals, October 2017, Elsevier

    Manseob Lee

  8. Expansive transitive sets for robust and generic diffeomorphisms

    Article • Dynamics and Stability of Systems, June 2017, Taylor & Francis

    Manseob Lee

  9. Symplectic diffeomorphisms with limit shadowing

    Article • Asian-European Journal of Mathematics, June 2017, World Scientific Pub Co Pte Lt

    Manseob Lee

  10. VARIOUS SHADOWING PROPERTIES FOR INVERSE LIMIT SYSTEMS

    Article • Journal of the Chungcheng Mathematical Society, November 2016, Chungcheong Mathematical Society

    Manseob Lee

  11. QUASI-ANOSOV DIFFEOMORPHISMS AND VARIOUS SHADOWING PROPERTIES

    Article • Journal of the Chungcheng Mathematical Society, November 2016, Chungcheong Mathematical Society

    Manseob Lee

  12. Measure expansive symplectic diffeomorphisms and Hamiltonian systems

    Article • International Journal of Mathematics, August 2016, World Scientific Pub Co Pte Lt

    Manseob Lee

  13. The barycenter property for robust and generic diffeomorphisms

    Article • Acta Mathematica Sinica English Series, July 2016, Springer Science + Business Media

    Manseob Lee

  14. Continuum-wise expansiveness for non-conservative or conservative systems

    Article • Chaos Solitons & Fractals, June 2016, Elsevier

    Manseob Lee

  15. THE LOCAL STAR CONDITION FOR GENERIC TRANSITIVE DIFFEOMORPHISMS

    Article • Communications of the Korean Mathematical Society, April 2016, The Korean Mathematical Society

    Manseob Lee

  16. Measure expansive flows for the generic view point

    Article • The Journal of Difference Equations and Applications, April 2016, Taylor & Francis

    Manseob Lee

  17. Shadowable Chain Recurrence Classes for Generic Diffeomorphisms

    Article • Taiwanese Journal of Mathematics, March 2016, The Mathematical Society of the Republic of China

    Manseob Lee

  18. The limit shadowing property and Li–Yorke’s chaos

    Article • Asian-European Journal of Mathematics, March 2016, World Scientific Pub Co Pte Lt

    Manseob Lee

  19. Positively measure-expansive differentiable maps

    Article • Journal of Mathematical Analysis and Applications, March 2016, Elsevier

    Manseob Lee

  20. Continuum-wise expansive homoclinic classes for generic diffeomorphisms

    Article • Publicationes Mathematicae Debrecen, January 2016, University of Debrecen/ Debreceni Egyetem

    Manseob Lee

  21. Corrigendum to: Measure expansivity for C 1 -conservative systems [Chaos, Solitons & Fractals, 81PA (2015) 400–405]

    Article • Chaos Solitons & Fractals, January 2016, Elsevier

    Manseob Lee

  22. Measure expansivity for C1-conservative systems

    Article • Chaos Solitons & Fractals, December 2015, Elsevier

    Manseob Lee

  23. ENTROPY, POSITIVELY CONTINUUM-WISE EXPANSIVENESS AND SHADOWING

    Article • Journal of the Chungcheng Mathematical Society, November 2015, Chungcheong Mathematical Society

    Manseob Lee

  24. Robustly chain transitive diffeomorphisms

    Article • Journal of Inequalities and Applications, July 2015, Springer Science + Business Media

    Manseob Lee

  25. General Expansiveness for Diffeomorphisms from the Robust and Generic Properties

    Article • Journal of Dynamical and Control Systems, July 2015, Springer Science + Business Media

    Manseob Lee

  26. Robust chain transitive vector fields

    Article • Asian-European Journal of Mathematics, June 2015, World Scientific Pub Co Pte Lt

    Manseob Lee

  27. KUPKA-SMALE DIFFERENTIABLE MAPS

    Article • Journal of the Chungcheng Mathematical Society, May 2015, Chungcheong Mathematical Society

    Manseob Lee

  28. Shadowing, expansiveness and specification for C1-conservative systems

    Article • Acta Mathematica Scientia, May 2015, Elsevier

    Manseob Lee

  29. Volume-Preserving Diffeomorphisms with Various Limit Shadowing

    Article • International Journal of Bifurcation and Chaos, February 2015, World Scientific Pub Co Pte Lt

    Manseob Lee

  30. SHADOWABLE CHAIN COMPONENTS AND HYPERBOLICITY

    Article • Bulletin of the Korean Mathematical Society, January 2015, The Korean Mathematical Society

    Manseob Lee

  31. Measure expansive homoclinic classes for generic diffeomorphisms

    Article • Applied Mathematical Sciences, January 2015, Hikari, Ltd.

    Manseob Lee

  32. Various dynamical properties for symplectic diffeomorphisms

    Article • International Journal of Mathematical Analysis, January 2015, Hikari, Ltd.

    Manseob Lee

  33. Continuum-wise expansive symplectic diffeomorphisms

    Article • Chaos Solitons & Fractals, January 2015, Elsevier

    Manseob Lee

  34. C2-Stably Limit Shadowing Diffeomorphisms

    Article • Abstract and Applied Analysis, January 2015, Hindawi Publishing Corporation

    Manseob Lee

  35. HYPERBOLICITY OF HOMOCLINIC CLASSES OF VECTOR FIELDS

    Article • Journal of the Australian Mathematical Society, November 2014, Cambridge University Press

    Manseob Lee

  36. Stable weakly shadowable volume-preserving systems are volume-hyperbolic

    Article • Acta Mathematica Sinica English Series, May 2014, Springer Science + Business Media

    Manseob Lee

  37. POSITIVELY MEASURE EXPANSIVE AND EXPANDING

    Article • Communications of the Korean Mathematical Society, April 2014, The Korean Mathematical Society

    Manseob Lee

  38. Generic expansive Hamiltonian systems

    Article • Chaos Solitons & Fractals, April 2014, Elsevier

    Manseob Lee

  39. Volume preserving diffeomorphisms with continuum-wise fully expansiveness

    Article • Applied Mathematical Sciences, January 2014, Hikari, Ltd.

    Manseob Lee

  40. Continuum-wise fully expansive diffeomorphisms and dominated splitting

    Article • International Journal of Mathematical Analysis, January 2014, Hikari, Ltd.

    Manseob Lee

  41. The ergodic shadowing property from the robust and generic view point

    Article • Advances in Difference Equations, January 2014, Springer Science + Business Media

    Manseob Lee

  42. Continuum-wise expansive diffeomorphisms and conservative systems

    Article • Journal of Inequalities and Applications, January 2014, Springer Science + Business Media

    Manseob Lee

  43. The ergodic shadowing property and homoclinic classes

    Article • Journal of Inequalities and Applications, January 2014, Springer Science + Business Media

    Manseob Lee

  44. Chain components with stably limit shadowing property are hyperbolic

    Article • Advances in Difference Equations, January 2014, Springer Science + Business Media

    Manseob Lee

  45. Hamiltonian systems with orbital, orbital inverse shadowing

    Article • Advances in Difference Equations, January 2014, Springer Science + Business Media

    Manseob Lee

  46. ROBUSTLY CHAIN TRANSITIVE SETS WITH SHADOWING

    Article • Journal of the Chungcheng Mathematical Society, November 2013, Chungcheong Mathematical Society

    Manseob Lee

  47. Generic diffeomorphisms with measure-expansive homoclinic classes

    Article • The Journal of Difference Equations and Applications, September 2013, Taylor & Francis

    Manseob Lee

  48. Orbital shadowing property for generic divergence-free vector fields

    Article • Chaos Solitons & Fractals, September 2013, Elsevier

    Manseob Lee

  49. GENERIC DIFFEOMORPHISMS WITH ROBUSTLY TRANSITIVE SETS

    Article • Communications of the Korean Mathematical Society, July 2013, The Korean Mathematical Society

    Manseob Lee

  50. LINEAR DIFFEOMORPHISMS WITH LIMIT SHADOWING

    Article • Journal of the Chungcheng Mathematical Society, May 2013, Chungcheong Mathematical Society

    Manseob Lee

  51. TRANSITIVE SETS WITH C1-STABLY LIMIT SHADOWING

    Article • Journal of the Chungcheng Mathematical Society, February 2013, Chungcheong Mathematical Society

    Manseob Lee

  52. Diffeomorphisms with periodic shadowing

    Article • International Journal of Mathematical Analysis, January 2013, Hikari, Ltd.

    Manseob Lee

  53. Volume-preserving diffeomorphisms with periodic shadowing

    Article • International Journal of Mathematical Analysis, January 2013, Hikari, Ltd.

    Manseob Lee

  54. Continuum-wise expansive and dominated splitting

    Article • International Journal of Mathematical Analysis, January 2013, Hikari, Ltd.

    Manseob Lee

  55. Orbital Shadowing for -Generic Volume-Preserving Diffeomorphisms

    Article • Abstract and Applied Analysis, January 2013, Hindawi Publishing Corporation

    Manseob Lee

  56. Volume preserving diffeomorphisms with orbital shadowing

    Article • Journal of Inequalities and Applications, January 2013, Springer Science + Business Media

    Manseob Lee

  57. Generic diffeomorphisms with weak limit shadowing

    Article • Advances in Difference Equations, January 2013, Springer Science + Business Media

    Manseob Lee

  58. Divergence-free vector fields with inverse shadowing

    Article • Advances in Difference Equations, January 2013, Springer Science + Business Media

    Manseob Lee

  59. Chain components with C1-stably orbital shadowing

    Article • Advances in Difference Equations, January 2013, Springer Science + Business Media

    Manseob Lee

  60. Symplectic diffeomorphisms with inverse shadowing

    Article • Journal of Inequalities and Applications, January 2013, Springer Science + Business Media

    Manseob Lee

  61. Divergence-free vector fields with orbital shadowing

    Article • Advances in Difference Equations, January 2013, Springer Science + Business Media

    Manseob Lee

  62. Vector fields with stably limit shadowing

    Article • Advances in Difference Equations, January 2013, Springer Science + Business Media

    Manseob Lee

  63. Robustly chain transitive sets with orbital shadowing diffeomorphisms

    Article • Dynamics and Stability of Systems, December 2012, Taylor & Francis

    Manseob Lee

  64. SYMPLECTIC DIFFEOMORPHISMS WITH ORBITAL SHADOWING

    Article • Journal of the Chungcheng Mathematical Society, November 2012, Chungcheong Mathematical Society

    Manseob Lee

  65. GENERIC DIFFEOMORPHISM WITH SHADOWING PROPERTY ON TRANSITIVE SETS

    Article • Journal of the Chungcheng Mathematical Society, November 2012, Chungcheong Mathematical Society

    Manseob Lee

  66. Diffeomorphisms with C 1-stably average shadowing

    Article • Acta Mathematica Sinica English Series, September 2012, Springer Science + Business Media

    Manseob Lee

  67. LIMIT SHADOWING WITH $C^0$ TRANSVERSALITY CONDITION

    Article • Journal of the Chungcheng Mathematical Society, May 2012, Chungcheong Mathematical Society

    Manseob Lee

  68. ASYMPTOTIC AVERAGE SHADOWING PROPERTY ON A CLOSED SET

    Article • Journal of the Chungcheng Mathematical Society, February 2012, Chungcheong Mathematical Society

    Manseob Lee

  69. Homoclinic classes with shadowing

    Article • Journal of Inequalities and Applications, January 2012, Springer Science + Business Media

    Manseob Lee

  70. Usual limit shadowable homoclinic classes of generic diffeomorphisms

    Article • Advances in Difference Equations, January 2012, Springer Science + Business Media

    Manseob Lee

  71. Stably asymptotic average shadowing property and dominated splitting

    Article • Advances in Difference Equations, January 2012, Springer Science + Business Media

    Manseob Lee

  72. Volume-preserving diffeomorphisms with inverse shadowing

    Article • Journal of Inequalities and Applications, January 2012, Springer Science + Business Media

    Manseob Lee

  73. C2-stably inverse shadowing diffeomorphisms

    Article • Dynamics and Stability of Systems, June 2011, Taylor & Francis

    Manseob Lee

  74. Stably inverse shadowable transitive sets and dominated splitting

    Article • Proceedings of the American Mathematical Society, May 2011, American Mathematical Society (AMS)

    Manseob Lee

  75. Stably average shadowable homoclinic classes

    Article • Nonlinear Analysis, January 2011, Elsevier

    Manseob Lee

  76. Hyperbolicity of $C^1$-stably expansive homoclinic classes

    Article • Discrete and Continuous Dynamical Systems, March 2010, American Institute of Mathematical Sciences (AIMS)

    Manseob Lee