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Volumn 20, Issue 5, 2010, Pages 1499-1507

Periodically forced chaotic system with signum nonlinearity

Author keywords

bifurcations; Chaos; differential equations; nonautonomous systems; signum function

Indexed keywords


EID: 77954601026     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127410026642     Document Type: Article
Times cited : (40)

References (25)
  • 2
    • 40549142112 scopus 로고    scopus 로고
    • Chaotic phase similarities and recurrences in a dampeddriven Duffing oscillator
    • Bonatto, C., Gallas, J. A. C. & Ueda, Y. [2008] "Chaotic phase similarities and recurrences in a dampeddriven Duffing oscillator," Phys. Rev. E 77, 026217- 1-026217-26225
    • (2008) Phys. Rev. e , vol.77 , pp. 0262171-02621726225
    • Bonatto, C.1    Gallas, J.A.C.2    Ueda, Y.3
  • 3
    • 33748712839 scopus 로고    scopus 로고
    • Chaotic behaviors and toroidal/spherical attractors generated by discontinuous dynamics
    • Chen, Q. F., Hong, Y. G. & Chen, G. R. [2006] "Chaotic behaviors and toroidal/spherical attractors generated by discontinuous dynamics," Physica A 371, 293-302.
    • (2006) Physica A , vol.371 , pp. 293-302
    • Chen, Q.F.1    Hong, Y.G.2    Chen, G.R.3
  • 5
    • 0002962729 scopus 로고
    • A nonsmooth coulomb friction oscillator
    • Feeny, H. [1992] "A nonsmooth coulomb friction oscillator," Physica D 59, 25-38.
    • (1992) Physica D , vol.59 , pp. 25-38
    • Feeny, H.1
  • 6
    • 0029403954 scopus 로고
    • When is cutting chaotic
    • Gans, R. F. [1995] "When is cutting chaotic" J. Sound Vibr. 188, 75-83.
    • (1995) J. Sound Vibr. , vol.188 , pp. 75-83
    • Gans, R.F.1
  • 7
    • 18544412868 scopus 로고    scopus 로고
    • Simplest driven conservative chaotic oscillator
    • Gottlieb, H. P. W. & Sprott, J. C. [2001] "Simplest driven conservative chaotic oscillator," Phys. Lett. A 291, 385-388.
    • (2001) Phys. Lett. A , vol.291 , pp. 385-388
    • Gottlieb, H.P.W.1    Sprott, J.C.2
  • 8
    • 0027578051 scopus 로고
    • A chaotic limit cycle paradox
    • Grantham, W. J. & Lee, B. [1993] "A chaotic limit cycle paradox," Dyn. Contr. 3, 159-173.
    • (1993) Dyn. Contr. , vol.3 , pp. 159-173
    • Grantham, W.J.1    Lee, B.2
  • 10
    • 0018494738 scopus 로고
    • A magetoelastic strange attractor
    • Moon, F. C. & Holmes, P. J. [1979] "A magetoelastic strange attractor," J. Sound Vibr. 65, 275-296.
    • (1979) J. Sound Vibr. , vol.65 , pp. 275-296
    • Moon, F.C.1    Holmes, P.J.2
  • 11
    • 21844484540 scopus 로고
    • Bifurcation and chaos in the simplest dissipative nonautonomous circuit
    • Murali, K., Lakshmanan, M. & Chua, L. O. [1994] "Bifurcation and chaos in the simplest dissipative nonautonomous circuit," Int. J. Bifurcation and Chaos 4, 1511-1524.
    • (1994) Int. J. Bifurcation and Chaos , vol.4 , pp. 1511-1524
    • Murali, K.1    Lakshmanan, M.2    Chua, L.O.3
  • 13
    • 0000257977 scopus 로고
    • Comparison of bifurcation structures of driven dissipative nonlinear oscillators
    • Scheffczyk, C., Parlitz, U., Kurz, T., Knop, W. & Lauterborn, W. [1991] "Comparison of bifurcation structures of driven dissipative nonlinear oscillators," Phys. Rev. A 43, 6495-6502.
    • (1991) Phys. Rev. A , vol.43 , pp. 6495-6502
    • Scheffczyk, C.1    Parlitz, U.2    Kurz, T.3    Knop, W.4    Lauterborn, W.5
  • 14
    • 0000364339 scopus 로고    scopus 로고
    • Dynamical behavior, transient chaos, and riddled basins of two charged particles in a Paul trap
    • Shen, J., Yin, H. & Dai, J. [1997] "Dynamical behavior, transient chaos, and riddled basins of two charged particles in a Paul trap," Phys. Rev. A 55, 2159-2164.
    • (1997) Phys. Rev. A , vol.55 , pp. 2159-2164
    • Shen, J.1    Yin, H.2    Dai, J.3
  • 15
    • 33749544772 scopus 로고    scopus 로고
    • Damping control law for a chaotic impact oscillator
    • Souza, S. L. T., Caldas, I. L. & Viana, R. L. [2007] "Damping control law for a chaotic impact oscillator," Chaos Solit. Fract. 32, 745-750.
    • (2007) Chaos Solit. Fract. , vol.32 , pp. 745-750
    • Souza, S.L.T.1    Caldas, I.L.2    Viana, R.L.3
  • 17
    • 43949094836 scopus 로고    scopus 로고
    • Doubling bifurcation route to chaos in periodically pulsed Murali-Lakshmanan- Chua (MLC) circuit
    • Srinivasan, K. [2008] "Doubling bifurcation route to chaos in periodically pulsed Murali-Lakshmanan- Chua (MLC) circuit," Int. J. Bifurcation and Chaos 18, 541-555.
    • (2008) Int. J. Bifurcation and Chaos , vol.18 , pp. 541-555
    • Srinivasan, K.1
  • 20
    • 33746672747 scopus 로고
    • Randomly transitional phenomena in the system governed by Duffing's equation
    • Ueda, Y. [1979] "Randomly transitional phenomena in the system governed by Duffing's equation," J. Stat. Phys. 20, 181-196.
    • (1979) J. Stat. Phys. , vol.20 , pp. 181-196
    • Ueda, Y.1
  • 21
    • 0004222310 scopus 로고
    • (Aerial Press, Santa Cruz)
    • Ueda, Y. [1992] The Road to Chaos (Aerial Press, Santa Cruz).
    • (1992) The Road to Chaos
    • Ueda, Y.1
  • 23
    • 0008494528 scopus 로고
    • Determining Lyapunov exponents from a time series
    • Wolf, A., Swift, J., Swinney, H. & Vastano, J. [1985] "Determining Lyapunov exponents from a time series," Physica D 16, 285-317.
    • (1985) Physica D , vol.16 , pp. 285-317
    • Wolf, A.1    Swift, J.2    Swinney, H.3    Vastano, J.4
  • 24
    • 0002573630 scopus 로고
    • Metastable chaos: The transition to sustained chaotic oscillations in a model of Lorenz
    • Yorke, J. A. & Yorke, E. D. [1979] "Metastable chaos: The transition to sustained chaotic oscillations in a model of Lorenz," J. Stat. Phys. 21, 263-277.
    • (1979) J. Stat. Phys. , vol.21 , pp. 263-277
    • Yorke, J.A.1    Yorke, E.D.2
  • 25
    • 0035971676 scopus 로고    scopus 로고
    • Experimental observation of superpersistent chaotic transients
    • DOI 10.1103/PhysRevLett.86.4017
    • Zhu, L., Raghu, A. & Lai, Y.-C. [2001] "Experimental observation of superpersistent chaotic transients," Phys. Rev. Lett. 86, 4017-4020. (Pubitemid 32443928)
    • (2001) Physical Review Letters , vol.86 , Issue.18 , pp. 4017-4020
    • Zhu, L.1    Raghu, A.2    Lai, Y.-C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.