메뉴 건너뛰기




Volumn 8, Issue 25, 2011, Pages 233-244

Chaotic dynamics of the fractional order nonlinear Bloch system

Author keywords

Bifurcation; Dynamical systems; Fractional calculus

Indexed keywords


EID: 80054903201     PISSN: None     EISSN: 17295254     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (15)

References (21)
  • 1
    • 0037156143 scopus 로고    scopus 로고
    • Self-sustained maser oscillations of a large magnetization driven by a radiation damping-based electronic feedback
    • Abergel D, Louis-Joseph A, Lallemand J-Y. Self-sustained maser oscillations of a large magnetization driven by a radiation damping-based electronic feedback. J Chem Phys 2002;116:7073-80.
    • (2002) J Chem Phys , vol.116 , pp. 7073-7080
    • Abergel, D.1    Louis-Joseph, A.2    Lallemand, J.-Y.3
  • 5
    • 0001618393 scopus 로고    scopus 로고
    • An algorithm for the numerical solution of differential equations of fractional order
    • Diethelm K. An algorithm for the numerical solution of differential equations of fractional order. Elec Trans Numer Anal 1997;5:1-6.
    • (1997) Elec Trans Numer Anal , vol.5 , pp. 1-6
    • Diethelm, K.1
  • 6
    • 0010186169 scopus 로고    scopus 로고
    • The FracPECE subroutine for the numerical solution of differential equations of fractional order
    • Heinzel S, Plesser T, editors, Göttingen: Gesellschaft für wissenschaftliches Datenverabeitung
    • Diethelm K, Freed AD. The FracPECE subroutine for the numerical solution of differential equations of fractional order. In: Heinzel S, Plesser T, editors. Forschung und wissenschaftliches Recchen. Göttingen: Gesellschaft für wissenschaftliches Datenverabeitung; 1999. p. 57-71.
    • (1999) Forschung und wissenschaftliches Recchen , pp. 57-71
    • Diethelm, K.1    Freed, A.D.2
  • 8
    • 1842832060 scopus 로고    scopus 로고
    • Chaos in Chen system with a fractional order
    • Li CP, Peng GJ. Chaos in Chen system with a fractional order. Chaos Solitons Fractals 2004;20:443-450.
    • (2004) Chaos Solitons Fractals , vol.20 , pp. 443-450
    • Li, C.P.1    Peng, G.J.2
  • 9
    • 23144435914 scopus 로고    scopus 로고
    • A note on the fractional-order Chen system
    • Lu JG, Chen G. A note on the fractional-order Chen system. Chaos Solitons Fractals 2006;27:685-688.
    • (2006) Chaos Solitons Fractals , vol.27 , pp. 685-688
    • Lu, J.G.1    Chen, G.2
  • 12
    • 41849104190 scopus 로고    scopus 로고
    • A note on the fractional-order Chua's system
    • Petras I. A note on the fractional-order Chua's system. Chaos Solitons Fractals 2008;38:140-147-147.
    • (2008) Chaos Solitons Fractals , vol.38 , pp. 140-147
    • Petras, I.1
  • 14
    • 43949166788 scopus 로고
    • A practical method for calculating largest Lyapunov exponents from small data sets
    • Rosenstein Michael T, Collins James J, De Luca Carlo J. A practical method for calculating largest Lyapunov exponents from small data sets. Physica D 1993;65:117-134.
    • (1993) Physica D , vol.65 , pp. 117-134
    • Rosenstein Michael, T.1    Collins James, J.2    De Luca Carlo, J.3
  • 15
    • 0002072428 scopus 로고
    • Cycles coexistence of continuous transformation of line in itself
    • Sharkovskii, A.N. (1964). Cycles coexistence of continuous transformation of line in itself. Ukr. Math. Journal, 26, 1, pp. 61-71.
    • (1964) Ukr. Math. Journal , vol.26 , Issue.1 , pp. 61-71
    • Sharkovskii, A.N.1
  • 16
    • 0009520409 scopus 로고
    • Strange attractors, chaotic behavior, and information flow
    • MathSciNet
    • R. Shaw, Strange attractors, chaotic behavior, and information flow, Z Naturforsch 36A (1981), p. 80. MathSciNet
    • (1981) Z Naturforsch , vol.36 A , pp. 80
    • Shaw, R.1
  • 17
    • 33845466254 scopus 로고    scopus 로고
    • Chaotic dynamics of the fractionally damped Duffing equation
    • Sheu Long-Jye, Chen Hsien-Keng, et al. Chaotic dynamics of the fractionally damped Duffing equation. Chaos Solitons and Fractals 2007;32:1459-68.
    • (2007) Chaos Solitons and Fractals , vol.32 , pp. 1459-1468
    • Long-Jye, S.1    Hsien-Keng, C.2
  • 18
    • 34347330038 scopus 로고    scopus 로고
    • A necessary condition for double scroll attractor existence in fractional-order systems
    • Tavazoei MS, Haeri M. A necessary condition for double scroll attractor existence in fractional-order systems. Phys Lett A 2007;367:102-113.
    • (2007) Phys Lett A , vol.367 , pp. 102-113
    • Tavazoei, M.S.1    Haeri, M.2
  • 19
    • 37549042003 scopus 로고    scopus 로고
    • Unreliability of frequency-domain approximation in recognising chaos in fractional-order systems
    • Tavazoei MS, Haeri M. Unreliability of frequency-domain approximation in recognising chaos in fractional-order systems. IET Signal Process 2007;1(4):171-181.
    • (2007) IET Signal Process , vol.1 , Issue.4 , pp. 171-181
    • Tavazoei, M.S.1    Haeri, M.2
  • 20
    • 44649156296 scopus 로고    scopus 로고
    • Limitations of frequency domain approximation for detecting chaos in fractional order systems
    • Tavazoei MS, Haeri M. Limitations of frequency domain approximation for detecting chaos in fractional order systems. Nonlinear Analysis 2008;69:1299-20
    • (2008) Nonlinear Analysis , vol.69 , pp. 1299-1320
    • Tavazoei, M.S.1    Haeri, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.