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Volumn 14, Issue 4, 2009, Pages 1486-1493

Devaney's chaos of a relay system

Author keywords

Chaotic attractor; Devaney's ingredients of chaos; Differential equations with a pulse function; Hyperbolic system; Non autonomous chaos

Indexed keywords

HYPERBOLIC FUNCTIONS;

EID: 55549131906     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2008.03.013     Document Type: Article
Times cited : (47)

References (19)
  • 1
    • 0000241853 scopus 로고
    • Deterministic nonperiodic flow
    • Lorenz E.N. Deterministic nonperiodic flow. J Atmos Sci 20 (1963) 130-141
    • (1963) J Atmos Sci , vol.20 , pp. 130-141
    • Lorenz, E.N.1
  • 2
    • 84968514104 scopus 로고
    • Differentiable dynamical systems
    • Smale S. Differentiable dynamical systems. Bull Am Math Soc 73 (1967) 747-817
    • (1967) Bull Am Math Soc , vol.73 , pp. 747-817
    • Smale, S.1
  • 3
    • 0000100336 scopus 로고
    • Period three implies chaos
    • Li T.Y., and Yorke J. Period three implies chaos. Am Math Monthly 87 (1975) 985-992
    • (1975) Am Math Monthly , vol.87 , pp. 985-992
    • Li, T.Y.1    Yorke, J.2
  • 4
    • 0017185443 scopus 로고
    • Simple mathematical models with very complicated dynamics
    • May R. Simple mathematical models with very complicated dynamics. Nature 261 (1976) 459-467
    • (1976) Nature , vol.261 , pp. 459-467
    • May, R.1
  • 5
    • 0002591468 scopus 로고
    • A two-dimensional mapping with a strange attractor
    • Henon M. A two-dimensional mapping with a strange attractor. Commun Math Phys 50 (1976) 69-77
    • (1976) Commun Math Phys , vol.50 , pp. 69-77
    • Henon, M.1
  • 6
    • 84985434477 scopus 로고
    • Sensitive dependence on initial condition and turbulent behavior of dynamical systems
    • Gurel O., and Rössler O.E. (Eds), New York Academy of Sciences, New York
    • Ruelle D. Sensitive dependence on initial condition and turbulent behavior of dynamical systems. In: Gurel O., and Rössler O.E. (Eds). Bifurcation theory and applications in scientific disciplines (1979), New York Academy of Sciences, New York 408-446
    • (1979) Bifurcation theory and applications in scientific disciplines , pp. 408-446
    • Ruelle, D.1
  • 7
    • 0022811435 scopus 로고
    • The double scroll family. I. Rigorous proof of chaos
    • Chua L., Komuro M., and Matsumoto T. The double scroll family. I. Rigorous proof of chaos. IEEE Trans Circuits Syst 33 (1986) 1072-1097
    • (1986) IEEE Trans Circuits Syst , vol.33 , pp. 1072-1097
    • Chua, L.1    Komuro, M.2    Matsumoto, T.3
  • 14
    • 85196149904 scopus 로고    scopus 로고
    • Robinson C. Dynamical systems: stability, symbolic dynamics, and chaos. Boca Raton/Ann Arbor/London/Tokyo: CRC Press; 1995.
    • Robinson C. Dynamical systems: stability, symbolic dynamics, and chaos. Boca Raton/Ann Arbor/London/Tokyo: CRC Press; 1995.
  • 16
    • 34547127132 scopus 로고    scopus 로고
    • On the reduction principle for differential equations with piecewise constant argument of generalized
    • Akhmet M.U. On the reduction principle for differential equations with piecewise constant argument of generalized. J Math Anal Appl 336 (2007) 646-663
    • (2007) J Math Anal Appl , vol.336 , pp. 646-663
    • Akhmet, M.U.1
  • 18
    • 45949120176 scopus 로고
    • Do numerical orbits of chaotic dynamical processes represent true orbits?
    • Hammel S.M., Jorke J.A., and Grebogi C. Do numerical orbits of chaotic dynamical processes represent true orbits?. J Complex 3 (1987) 136-145
    • (1987) J Complex , vol.3 , pp. 136-145
    • Hammel, S.M.1    Jorke, J.A.2    Grebogi, C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.