메뉴 건너뛰기




Volumn 65, Issue 6, 1997, Pages 537-543

Some simple chaotic jerk functions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0031509406     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.18585     Document Type: Article
Times cited : (325)

References (25)
  • 1
    • 0017185443 scopus 로고
    • Simple mathematical models with very complicated dynamics
    • R. May, "Simple mathematical models with very complicated dynamics," Nature 261, 45-67 (1976).
    • (1976) Nature , vol.261 , pp. 45-67
    • May, R.1
  • 6
    • 0000241853 scopus 로고
    • Deterministic nonperiodic flow
    • E. N. Lorenz, "Deterministic nonperiodic flow," J. Atmos. Sci. 20, 130-141 (1963).
    • (1963) J. Atmos. Sci. , vol.20 , pp. 130-141
    • Lorenz, E.N.1
  • 7
    • 49549126801 scopus 로고
    • An equation for continuous chaos
    • O. E. Rössler, "An equation for continuous chaos," Phys. Lett. A 57, 397-398 (1976).
    • (1976) Phys. Lett. A , vol.57 , pp. 397-398
    • Rössler, O.E.1
  • 8
    • 33751555569 scopus 로고
    • Some simple chaotic flows
    • J. C. Sprott, "Some simple chaotic flows," Phys. Rev. B 50, R647-R650 (1994).
    • (1994) Phys. Rev. B , vol.50
    • Sprott, J.C.1
  • 9
    • 0001305336 scopus 로고    scopus 로고
    • Question #38. What is the simplest jerk function that gives chaos?
    • H. P. W. Gottlieb, "Question #38. What is the simplest jerk function that gives chaos?" Am. J. Phys. 64, 525 (1996).
    • (1996) Am. J. Phys. , vol.64 , pp. 525
    • Gottlieb, H.P.W.1
  • 10
    • 84947648871 scopus 로고
    • Jerk: The time rate of change of acceleration
    • S. H. Schot, "Jerk: The time rate of change of acceleration," Am. J. Phys. 46, 1090-1094 (1978).
    • (1978) Am. J. Phys. , vol.46 , pp. 1090-1094
    • Schot, S.H.1
  • 11
    • 1642631249 scopus 로고
    • The Jerk
    • T. R. Sandin, "The Jerk," Phys. Teach. 20, 36-40 (1990).
    • (1990) Phys. Teach. , vol.20 , pp. 36-40
    • Sandin, T.R.1
  • 12
    • 0003036862 scopus 로고
    • Constant temperature molecular dynamics methods
    • S. Nosé, "Constant temperature molecular dynamics methods," Prog. Theor. Phys. Suppl. 103, 1-46 (1991).
    • (1991) Prog. Theor. Phys. Suppl. , vol.103 , pp. 1-46
    • Nosé, S.1
  • 14
    • 0009153680 scopus 로고
    • Remark on 'Some simple chaotic flows'
    • W. G. Hoover, "Remark on 'Some simple chaotic flows'" Phys. Rev. E 51, 759-760 (1995).
    • (1995) Phys. Rev. E , vol.51 , pp. 759-760
    • Hoover, W.G.1
  • 15
    • 0003513785 scopus 로고
    • Dynamical Systems and Turbulence
    • edited by D. A. Rand and L. S. Young Springer, Berlin
    • F. Takens, in Dynamical Systems and Turbulence, Lecture Notes in Mathematics Vol. 898, edited by D. A. Rand and L. S. Young (Springer, Berlin, 1981).
    • (1981) Lecture Notes in Mathematics , vol.898
    • Takens, F.1
  • 17
    • 85033160744 scopus 로고    scopus 로고
    • These terms were suggested by J. Codner, E. Francis, T. Bartels, J. Glass, and W. Jefferys, respectively, in response to a question posed on the USENET sci.physics newsgroup
    • These terms were suggested by J. Codner, E. Francis, T. Bartels, J. Glass, and W. Jefferys, respectively, in response to a question posed on the USENET sci.physics newsgroup.
  • 18
    • 0042156851 scopus 로고
    • How common is chaos?
    • J. C. Sprott, "How common is chaos?" Phys. Lett. A 173, 21-24 (1993).
    • (1993) Phys. Lett. A , vol.173 , pp. 21-24
    • Sprott, J.C.1
  • 19
    • 0008494528 scopus 로고
    • Determining Lyapunov exponents from a time series
    • A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, "Determining Lyapunov exponents from a time series," Physica 16D, 285-317 (1985).
    • (1985) Physica , vol.16 D , pp. 285-317
    • Wolf, A.1    Swift, J.B.2    Swinney, H.L.3    Vastano, J.A.4
  • 21
    • 0001640825 scopus 로고
    • Functional Differential Equations and Approximations of Fixed Points
    • edited by H.-O. Peitgen and H.-O. Walther, Springer-Verlag, Berlin
    • J. L. Kaplan and J. A. Yorke, in Functional Differential Equations and Approximations of Fixed Points, edited by H.-O. Peitgen and H.-O. Walther, Lecture Notes in Mathematics, Vol. 730 (Springer-Verlag, Berlin, 1979), p. 204.
    • (1979) Lecture Notes in Mathematics , vol.730 , pp. 204
    • Kaplan, J.L.1    Yorke, J.A.2
  • 22
    • 85033171256 scopus 로고    scopus 로고
    • Simplest dissipative chaotic flow
    • in press
    • J. C. Sprott, "Simplest dissipative chaotic flow," Phys. Lett. A (in press).
    • Phys. Lett. A
    • Sprott, J.C.1
  • 23
    • 85033186265 scopus 로고    scopus 로고
    • Animated rotational views of this attractor and its basin are available at http://sprott.physics.wisc.edu/simpjerk.htm
  • 25
    • 0042383635 scopus 로고
    • Stable solutions using the Euler approximation
    • A. Cromer, "Stable solutions using the Euler approximation," Am. J. Phys. 49, 455-459 (1981).
    • (1981) Am. J. Phys. , vol.49 , pp. 455-459
    • Cromer, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.