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Volumn 13, Issue 6, 2007, Pages 751-767

Chaotic responses in a stable duffing system of non-ideal type

Author keywords

Chaos control; Lyapunov exponent; Non ideal source; Non ideal system

Indexed keywords

COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; LYAPUNOV METHODS; NONLINEAR EQUATIONS; NONLINEAR SYSTEMS; PARAMETER ESTIMATION;

EID: 34250368860     PISSN: 10775463     EISSN: 17412986     Source Type: Journal    
DOI: 10.1177/1077546307072542     Document Type: Article
Times cited : (37)

References (21)
  • 3
    • 0027585075 scopus 로고
    • Extension of Melnikov criterion for the differential equation with complex function
    • Cveticanin, L., 1993, Extension of Melnikov criterion for the differential equation with complex function, Nonlinear Dynamics 4, 139 152.
    • (1993) Nonlinear Dynamics , vol.4 , pp. 139152
    • Cveticanin, L.1
  • 4
    • 85081453600 scopus 로고    scopus 로고
    • On the appearance of a Hopf bifurcation in a non-ideal mechanical system
    • Dantas, M.H. and Balthazar, J.M., 2003, On the appearance of a Hopf bifurcation in a non-ideal mechanical system, Mechanics Research Communications 30, 493 503.
    • (2003) Mechanics Research Communications , vol.30 , pp. 493503
    • Dantas, M.H.1    Balthazar, J.M.2
  • 5
    • 33745317597 scopus 로고    scopus 로고
    • A comment on a non-ideal centrifugal vibrator machine behavior with soft and hard springs
    • Dantas, M.H. and Balthazar, J.M., 2006, A comment on a non-ideal centrifugal vibrator machine behavior with soft and hard springs, International Journal of Bifurcation and Chaos 16, 1083 1088.
    • (2006) International Journal of Bifurcation and Chaos , vol.16 , pp. 10831088
    • Dantas, M.H.1    Balthazar, J.M.2
  • 7
    • 0023577901 scopus 로고
    • Numerical simulations of periodic and chaotic responses in a stable Duffing system
    • Fang, T. and Dowell, E.H., 1987, Numerical simulations of periodic and chaotic responses in a stable Duffing system, International Journal of Non-Linear Mechanics 22, 401 425.
    • (1987) International Journal of Non-Linear Mechanics , vol.22 , pp. 401425
    • Fang, T.1    Dowell, E.H.2
  • 9
    • 0035280812 scopus 로고    scopus 로고
    • Strange attractors and chaos control in periodically forced complex Duffing's oscillators
    • Mahmoud, G.M., Mohamed, A.A., and Aly, S.A., 2001, Strange attractors and chaos control in periodically forced complex Duffing's oscillators, Physica A 292, 193 206.
    • (2001) Physica A , vol.292 , pp. 193206
    • Mahmoud, G.M.1    Mohamed, A.A.2    Aly, S.A.3
  • 11
    • 85081446741 scopus 로고
    • On chaos and fractal behaviour in a general Duffing's system
    • Pezeshki, C. and Dowell, E.H., 1988, On chaos and fractal behaviour in a general Duffing's system, Physica D 32, 194 209.
    • (1988) Physica D , vol.32 , pp. 194209
    • Pezeshki, C.1    Dowell, E.H.2
  • 12
    • 34250315551 scopus 로고
    • Continuous control of chaos by self controlling feedback
    • Pyragas, K., 1992, Continuous control of chaos by self controlling feedback, Physics Letters A 170, 421 428.
    • (1992) Physics Letters , vol.170 , pp. 421428
    • Pyragas, K.1
  • 13
    • 24844468720 scopus 로고
    • Control of chaos via extended delay feedback
    • Pyragas, K., 1995, Control of chaos via extended delay feedback, Physics Letters A 206, 323 330.
    • (1995) Physics Letters , vol.206 , pp. 323330
    • Pyragas, K.1
  • 17
    • 14744301502 scopus 로고    scopus 로고
    • On chaotic vibrations of a non-ideal system with two degree of freedom: 1:2 resonance and Sommerfeld effect
    • Tsuchida, M., Guilherme, K.L., and Balthazar, J.M., 2005, On chaotic vibrations of a non-ideal system with two degree of freedom: 1:2 resonance and Sommerfeld effect, Journal of Sound and Vibration 282, 1201 1207.
    • (2005) Journal of Sound and Vibration , vol.282 , pp. 12011207
    • Tsuchida, M.1    Guilherme, K.L.2    Balthazar, J.M.3
  • 18
    • 0021897490 scopus 로고
    • Random phenomena resulting from non-linearity in the system described by Duffing's equation
    • Ueda, Y., 1985, Random phenomena resulting from non-linearity in the system described by Duffing's equation, International Journal of Non-Linear Mechanics 20, 481 491.
    • (1985) International Journal of Non-Linear Mechanics , vol.20 , pp. 481491
    • Ueda, Y.1
  • 19
    • 0029716340 scopus 로고    scopus 로고
    • A continuation algorithm for discovering new chaotic motions in forced Duffing systems
    • Van Dooren, R. and Janssen, H., 1996, A continuation algorithm for discovering new chaotic motions in forced Duffing systems, Journal of Computational and Applied Mathematics 66, 527 541.
    • (1996) Journal of Computational and Applied Mathematics , vol.66 , pp. 527541
    • Van Dooren, R.1    Janssen, H.2
  • 21
    • 0008494528 scopus 로고
    • Determining Lyapunov exponents from a time series
    • Wolf, A., Swift, J., Swinney, H., and Vastano, J., 1985, Determining Lyapunov exponents from a time series, Physica D 16, 285 317.
    • (1985) Physica D , vol.16 , pp. 285317
    • Wolf, A.1    Swift, J.2    Swinney, H.3    Vastano, J.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.