메뉴 건너뛰기




Volumn 17, Issue 2, 1997, Pages 463-481

The structure of basins of attraction and their trapping regions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0031496551     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385797069782     Document Type: Article
Times cited : (19)

References (27)
  • 1
    • 84971922170 scopus 로고
    • Accessible saddles on fractal basin boundaries
    • K. T. Alligood and J. A. Yorke. Accessible saddles on fractal basin boundaries. Ergod. Th. & Dynam. Sys. 12 (1992), 377-400.
    • (1992) Ergod. Th. & Dynam. Sys. , vol.12 , pp. 377-400
    • Alligood, K.T.1    Yorke, J.A.2
  • 2
    • 0038817902 scopus 로고
    • Homoclinic intersections and indecomposability
    • M. Barge. Homoclinic intersections and indecomposability. Proc. Amer. Math. Soc. 101 (1987), 541-544.
    • (1987) Proc. Amer. Math. Soc. , vol.101 , pp. 541-544
    • Barge, M.1
  • 4
    • 45949126663 scopus 로고
    • Basin boundary metamorphoses: Changes in accessible boundary orbits
    • C. Grebogi, E. Ott and J. A. Yorke. Basin boundary metamorphoses: changes in accessible boundary orbits. Physica D 24 (1987), 243-262.
    • (1987) Physica D , vol.24 , pp. 243-262
    • Grebogi, C.1    Ott, E.2    Yorke, J.A.3
  • 5
    • 4243798800 scopus 로고
    • Fractal basin boundaries and intermittency in the driven damped pendulum
    • E. G. Gwinn and R. M. Westervelt. Fractal basin boundaries and intermittency in the driven damped pendulum. Phys. Rev. A 33 (1986), 4143-4155.
    • (1986) Phys. Rev. A , vol.33 , pp. 4143-4155
    • Gwinn, E.G.1    Westervelt, R.M.2
  • 7
    • 0003447189 scopus 로고
    • Addison-Wesley, Reading, MA
    • J. Hocking and G. Young. Topology. Addison-Wesley, Reading, MA, 1961.
    • (1961) Topology
    • Hocking, J.1    Young, G.2
  • 8
    • 0000180546 scopus 로고
    • Basins of wada
    • J. Kennedy and J. A. Yorke. Basins of Wada. Physica D 51 (1991), 213-225.
    • (1991) Physica D , vol.51 , pp. 213-225
    • Kennedy, J.1    Yorke, J.A.2
  • 9
    • 0012951726 scopus 로고
    • Sur les coupures irréductibles du plan
    • C. Kuratowski. Sur les coupures irréductibles du plan. Fund. Math. 6 (1924), 130-145.
    • (1924) Fund. Math. , vol.6 , pp. 130-145
    • Kuratowski, C.1
  • 10
    • 0040313154 scopus 로고
    • Sur la structure des frontières communes à deux régions
    • C. Kuratowski. Sur la structure des frontières communes à deux régions. Fund. Math. 12 (1928), 20-42.
    • (1928) Fund. Math. , vol.12 , pp. 20-42
    • Kuratowski, C.1
  • 13
    • 34250112778 scopus 로고
    • On the concept of attractor
    • J. Milnor. On the concept of attractor. Commun. Math. Phys. 99 (1985), 177-195; Comments on the concept of attractor: correction and remarks. Commun. Math. Phys. 102 (1985), 517-519.
    • (1985) Commun. Math. Phys. , vol.99 , pp. 177-195
    • Milnor, J.1
  • 14
    • 0001996785 scopus 로고
    • Comments on the concept of attractor: Correction and remarks
    • J. Milnor. On the concept of attractor. Commun. Math. Phys. 99 (1985), 177-195; Comments on the concept of attractor: correction and remarks. Commun. Math. Phys. 102 (1985), 517-519.
    • (1985) Commun. Math. Phys. , vol.102 , pp. 517-519
  • 15
    • 0001322327 scopus 로고
    • Frontiére floue séparant les domaines d'attraction de deux attracteurs, exemples
    • C. Mira. Frontiére floue séparant les domaines d'attraction de deux attracteurs, exemples. C. R. Acad. Sc. Paris A 288 (1979), 591-594.
    • (1979) C. R. Acad. Sc. Paris A , vol.288 , pp. 591-594
    • Mira, C.1
  • 16
    • 0002218584 scopus 로고
    • Lectures on dynamical systems
    • Eds. J. Guckenheimer, J. Moser and S. E. Newhouse. Birkhäuser, Boston
    • S. E. Newhouse. Lectures on dynamical systems. Dynamical Systems (C.I.M.E. Lectures, Bressanone, 1978). Eds. J. Guckenheimer, J. Moser and S. E. Newhouse. Birkhäuser, Boston, 1980.
    • (1980) Dynamical Systems (C.I.M.E. Lectures, Bressanone, 1978)
    • Newhouse, S.E.1
  • 17
    • 0003241363 scopus 로고
    • Hyperbolic nonwandering sets on two-dimensional manifolds
    • Ed. M. M. Peixoto. Academic, New York and London
    • S. Newhouse and J. Palis. Hyperbolic nonwandering sets on two-dimensional manifolds. Dynamical Systems. Ed. M. M. Peixoto. Academic, New York and London, 1973, pp. 293-301.
    • (1973) Dynamical Systems , pp. 293-301
    • Newhouse, S.1    Palis, J.2
  • 18
    • 0023364061 scopus 로고
    • Asymptotically periodic behaviour in the dynamics of chaotic mappings
    • H. E. Nusse. Asymptotically periodic behaviour in the dynamics of chaotic mappings. SIAM J. Applied Mathematics 47 (1987), 498-515; Qualitative analysis of the dynamics and stability properties for Axiom A maps. J. Math. Analysis and Applications 136 (1988), 74-106.
    • (1987) SIAM J. Applied Mathematics , vol.47 , pp. 498-515
    • Nusse, H.E.1
  • 19
    • 38249028632 scopus 로고
    • Qualitative analysis of the dynamics and stability properties for Axiom A maps
    • H. E. Nusse. Asymptotically periodic behaviour in the dynamics of chaotic mappings. SIAM J. Applied Mathematics 47 (1987), 498-515; Qualitative analysis of the dynamics and stability properties for Axiom A maps. J. Math. Analysis and Applications 136 (1988), 74-106.
    • (1988) J. Math. Analysis and Applications , vol.136 , pp. 74-106
  • 20
    • 45149143640 scopus 로고
    • A procedure for finding numerical trajectories on chaotic saddles
    • H. E. Nusse and J. A. Yorke. A procedure for finding numerical trajectories on chaotic saddles. Physica D 36 (1989), 137-156.
    • (1989) Physica D , vol.36 , pp. 137-156
    • Nusse, H.E.1    Yorke, J.A.2
  • 21
    • 0039721334 scopus 로고
    • A numerical procedure for finding accessible trajectories on basin boundaries
    • H. E. Nusse and J. A. Yorke. A numerical procedure for finding accessible trajectories on basin boundaries. Nonlinearity 4 (1991), 1183-1212.
    • (1991) Nonlinearity , vol.4 , pp. 1183-1212
    • Nusse, H.E.1    Yorke, J.A.2
  • 22
    • 21144469769 scopus 로고
    • The equality of fractal dimension and uncertainty dimension for certain dynamical systems
    • H. E. Nusse and J. A. Yorke. The equality of fractal dimension and uncertainty dimension for certain dynamical systems. Commun. Math. Phys. 150 (1992), 1-21.
    • (1992) Commun. Math. Phys. , vol.150 , pp. 1-21
    • Nusse, H.E.1    Yorke, J.A.2
  • 24
    • 22244438255 scopus 로고    scopus 로고
    • Wada basin boundaries and basin cells
    • H. E. Nusse and J. A. Yorke. Wada basin boundaries and basin cells. Physica D 90 (1996), 242-261.
    • (1996) Physica D , vol.90 , pp. 242-261
    • Nusse, H.E.1    Yorke, J.A.2
  • 25
    • 0001167128 scopus 로고
    • Small random perturbations of dynamical systems and the definition of attractors
    • D. Ruelle. Small random perturbations of dynamical systems and the definition of attractors. Commun. Math. Phys. 82 (1981), 137-151.
    • (1981) Commun. Math. Phys. , vol.82 , pp. 137-151
    • Ruelle, D.1
  • 26
    • 0017236099 scopus 로고
    • The qualitative analysis of a difference equation of population growth
    • S. Smale and R. F. Williams. The qualitative analysis of a difference equation of population growth. J. Math. Biol. 3 (1976), 1-4.
    • (1976) J. Math. Biol. , vol.3 , pp. 1-4
    • Smale, S.1    Williams, R.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.