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Volumn 58, Issue 3, 1998, Pages 3060-3066

Basin bifurcation in quasiperiodically forced systems

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; FRACTALS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS;

EID: 0032159688     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.58.3060     Document Type: Article
Times cited : (27)

References (36)
  • 5
    • 0004029931 scopus 로고
    • Springer-Verlag, New York, J. C. Alexander
    • C. Grebogi, H. E. Nusse, E. Ott, and J. A. Yorke, in Dynamical Systems, edited by J. C. Alexander, Lecture Notes in Mathematics Vol. 1342 (Springer-Verlag, New York, 1988).
    • (1988) Dynamical Systems
    • Grebogi, C.1    Nusse, H.E.2    Ott, E.3    Yorke, J.A.4
  • 11
    • 85036330990 scopus 로고    scopus 로고
    • The relation between the uncertainty exponent and the box-counting dimension, [Formula Presented] was rigorously proven for Axiom-A systems c4. It was conjectured that the same relation holds for more general dynamical systems c1 c2
    • The relation between the uncertainty exponent and the box-counting dimension, α=N-D, was rigorously proven for Axiom-A systems 4. It was conjectured that the same relation holds for more general dynamical systems 12.
  • 20
    • 0000419939 scopus 로고
    • Strange nonchaotic attractors typically occur in quasiperiodically driven dynamical systems. Here the word strange refers to the complicated geometry of the attractor: A strange attractor contains an infinite number of points and it is not a smooth manifold in the phase space. The word chaotic refers to the sensitive dependence on initial conditions: trajectories originating from nearby initial conditions on a chaotic attractor diverge exponentially in time. Strange nonchaotic attractors are therefore geometrically complicated, nonetheless they exhibit no sensitive dependence on initial conditions. Some representative papers are F. J. Romeiras, A. Bondeson, E. Ott, T. M. Antonsen, Jr., and C. Grebogi, Physica D 26, 277 (1987)
    • (1987) Physica D , vol.26 , pp. 277
    • Romeiras, F.J.1    Bondeson, A.2    Ott, E.3    M. Antonsen, T.4    Grebogi, C.5
  • 29
    • 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
  • 31
    • 0001158436 scopus 로고
    • See, for example, E. M. Oblow, Phys. Lett. A 128, 406 (1988).PYLAAG
    • (1988) Phys. Lett. A , vol.128 , pp. 406
    • Oblow, E.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.