본문 바로가기
KERD
논문KCI 등재

Stable index pairs for dispersive dynamical systems

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

We construct the index pairs of an isolated neighborhood for a dispersive dynamical system and investigate the existence of an index pair which is stable under small perturbations of the dispersive dynamical systems.

Abstract

We construct the index pairs of an isolated neighborhood for a dispersive dynamical system and investigate the existence of an index pair which is stable under small perturbations of the dispersive dynamical systems.

참고문헌 (15)

  1. R. Churchill, "Isolated invariant sets in compact metric spaces", J. Differential Equations, 12, pp.330~352 (1972)
  2. C. C. Conley, "Isolated Invariant Sets and the Morse Index, CBMS Regional Conf. Ser. Math. No. 38, Amer. Math. Soc., Providence RI, 1978", ~ (1978)
  3. E. N. Dancer, "Perturbation of zeros in the presence of symmetries", J. Austral. Math. Soc. Ser. A, 36(1), pp.106~125 (1984)
  4. E. N. Dancer, "Degenerate critical points, homotopy indices and Morse inequalities", J. Reine Angew. Math, 350, pp.1~22 (1984)
  5. A. Dold, "Fixed point index and fixed point theorem for Euclidean neighborhood retracts", Topology, 4, pp.1~8 (1965)
  6. T. Kaczynski, "Conley index for discrete multi-valued dynamical systems", Topology Appl, 65(1), pp.83~96 (1995)
  7. T. Kaczynski, "Stable index pairs for discrete dynamical systems", Canad. Math. Bull, 40(4), pp.448~455 (1997)
  8. P. E. Kloeden, "Asymptotic invariance and limit sets of general control systems", J. Dif- ferential Equations, 19(1), pp.91~105 (1975)
  9. H. L. Kurland, "The Morse index of an isolated invariant set is a connected simple system", J. Differential Equations, 42(2), pp.234~259 (1981)
  10. D. Li, "On dynamical stability in general dynamical systems", J. Math. Anal. Appl, 263(2), pp.455~478 (2001)
  11. J. T. Montgomery, "Cohomology of isolated invariant sets under perturbation", J. Differ- ential Equations, 13, pp.257~299 (1973)
  12. E. Roxin, "Stability in general control systems", J. Differential Equations, 1, pp.115~150 (1965)
  13. K. Rybakowski, "On the homotopy index for infinite dimensional semiflows", Trans. Amer. Math. Soc, 269(2), pp.351~382 (1982)
  14. K. S. Sibirsky, "Introduction to Topological Dynamics" (1975), Noordhoff International Publish- ing
  15. H. Siegberg, "Fixed point index and chain approximations", Pacific J. Math, 102(2), pp.455~486 (1982)

관련 논문AI추천

이 간행물의 다른 논문 (19건)