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Volumn 292, Issue 1-4, 2001, Pages 193-206

Strange attractors and chaos control in periodically forced complex Duffing's oscillators

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; COMPUTATIONAL COMPLEXITY; DEGREES OF FREEDOM (MECHANICS); MATHEMATICAL MODELS; PERTURBATION TECHNIQUES;

EID: 0035280812     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(00)00590-2     Document Type: Article
Times cited : (51)

References (32)
  • 1
    • 0019608348 scopus 로고
    • Second-order averaging and bifurcations to subharmonics in Duffing's equation
    • C. Holmes, P. Holmes, Second-order averaging and bifurcations to subharmonics in Duffing's equation, J. Sound Vibration 78 (2) (1981) 161-174.
    • (1981) J. Sound Vibration , vol.78 , Issue.2 , pp. 161-174
    • Holmes, P.1    Holmes, C.2
  • 2
    • 0000069184 scopus 로고
    • A nonlinear oscillator with a strange attractor
    • P. Holmes, A nonlinear oscillator with a strange attractor, Phil. Trans. Roy. Soc. A 292 (1979) 419-448.
    • (1979) Phil. Trans. Roy. Soc. a , vol.292 , pp. 419-448
    • Holmes, P.1
  • 3
    • 85015180140 scopus 로고
    • Nonlinear vibrations of a buckled beam under harmonic excitation
    • W.Y. Tseng, J. Dugundji, Nonlinear vibrations of a buckled beam under harmonic excitation, J. Appl. Mech. 38 (1971) 467-476.
    • (1971) J. Appl. Mech. , vol.38 , pp. 467-476
    • Tseng, J.1    Dugundji, W.Y.2
  • 4
    • 0018494738 scopus 로고
    • A magnetoelastic strange attractor
    • F.C. Moon, P. Holmes, A magnetoelastic strange attractor, J. Sound Vibration 65 (1979) 275-296.
    • (1979) J. Sound Vibration , vol.65 , pp. 275-296
    • Moon P Holmes, F.C.1
  • 5
    • 0018984656 scopus 로고
    • Averaging and chaos in forced oscillations
    • P. Holmes, Averaging and chaos in forced oscillations, SIAM J. Appl. Math. 38 (1980) 65-80.
    • (1980) SIAM J. Appl. Math. , vol.38 , pp. 65-80
    • Holmes, P.1
  • 7
    • 0022106348 scopus 로고
    • The fractal dimension of the two-well potential strange attractor
    • F.C. Moon, G.-X. Li, The fractal dimension of the two-well potential strange attractor, Physica D 17 (1985) 99-108.
    • (1985) Physica D , vol.17 , pp. 99-108
    • Moon G-X Li, F.C.1
  • 8
    • 84975674728 scopus 로고
    • Explosion of strange attractors exhibited by Duffing's equation
    • Y. Udea, Explosion of strange attractors exhibited by Duffing's equation, Ann. NY Acad. Sci. 357 (1980) 422-433.
    • (1980) Ann. NY Acad. Sci. , vol.357 , pp. 422-433
    • Udea, Y.1
  • 9
    • 0039979772 scopus 로고
    • Chaos in the classical relativistic mechanics of a damped Duffing-like driven system
    • W.C. Schieve, L.P. Horwitz, Chaos in the classical relativistic mechanics of a damped Duffing-like driven system, Phys. Lett. A 156 (1991) 140-146.
    • (1991) Phys. Lett. a , vol.156 , pp. 140-146
    • Schieve, L.P.1    Horwitz, W.C.2
  • 10
    • 0043286606 scopus 로고    scopus 로고
    • Chaos of the relativistic parametrically forced Van der Pol oscillator
    • Y. Ashkenazy, C. Goren, L.P. Horwitz, Chaos of the relativistic parametrically forced Van der Pol oscillator, Phys. Lett. A 243 (1998) 195-204.
    • (1998) Phys. Lett. a , vol.243 , pp. 195-204
    • Ashkenazy, Y.1    Goren, C.2    Horwitz, L.P.3
  • 11
    • 0041892803 scopus 로고
    • Horseshoes in a relativistic Hamiltonian System
    • L.P. Horwitz, W.C. Schieve, Horseshoes in a relativistic Hamiltonian System, Phys. Rev. A 46 (1992) 743-756.
    • (1992) Phys. Rev. a , vol.46 , pp. 743-756
    • Horwitz, W.C.1    Schieve, L.P.2
  • 12
    • 0017483564 scopus 로고
    • Necessary and sufficient conditions for synchronization of nonlinear oscillators with a given class of coupling
    • M. Grattarola, V. Torre, Necessary and sufficient conditions for synchronization of nonlinear oscillators with a given class of coupling, IEEE Trans. Circuits Systems CAS-24 (4) (1977) 209-215.
    • (1977) IEEE Trans. Circuits Systems CAS , vol.24 , Issue.4 , pp. 209-215
    • Grattarola, V.1    Torre, M.2
  • 14
    • 11744328666 scopus 로고
    • Split-step spectral method for nonlinear Schrödinger equation with absorbing boundaries
    • F. If, P. Berg, P.L. Chistiansen, O. Skovgaard, Split-step spectral method for nonlinear Schrödinger equation with absorbing boundaries, J. Comput. Phys. 72 (1987) 501-503.
    • (1987) J. Comput. Phys. , vol.72 , pp. 501-503
    • If, F.1    Berg, P.2    Chistiansen, P.L.3    Skovgaard, O.4
  • 15
    • 0032072315 scopus 로고    scopus 로고
    • Approximate solutions of a class of complex nonlinear dynamical systems
    • G.M. Mahmoud, Approximate solutions of a class of complex nonlinear dynamical systems, Physica A 253 (1998) 211-222.
    • (1998) Physica a , vol.253 , pp. 211-222
    • Mahmoud, G.M.1
  • 16
    • 22444451651 scopus 로고    scopus 로고
    • On modulated complex nonlinear dynamical systems
    • G.M. Mahmoud, A. Rauh, A.A. Mohamed, On modulated complex nonlinear dynamical systems, IL Nouvo Cimento 114B (1) (1999) 31-47.
    • (1999) IL Nouvo Cimento , vol.114 B , Issue.1 , pp. 31-47
    • Mahmoud, G.M.1    Rauh, A.2    Mohamed, A.A.3
  • 17
    • 0034156305 scopus 로고    scopus 로고
    • Periodic attractors of complex damped nonlinear systems
    • G.M. Mahmoud, S.A. Aly, Periodic attractors of complex damped nonlinear systems, Int. J. Non-Linear Mech. 35 (2000) 309-323.
    • (2000) Int. J. Non-Linear Mech. , vol.35 , pp. 309-323
    • Mahmoud S.a Aly, G.M.1
  • 18
    • 0033906442 scopus 로고    scopus 로고
    • On periodic solutions of parametrically excited complex nonlinear dynamical systems
    • G.M. Mahmoud, S.A. Aly, On periodic solutions of parametrically excited complex nonlinear dynamical systems, Physica A 278 (2000) 390-404.
    • (2000) Physica a , vol.278 , pp. 390-404
    • Mahmoud, S.A.1    Aly, G.M.2
  • 19
  • 20
    • 34250315551 scopus 로고
    • Continuous control of chaos by self controlling feedback
    • K. Pyragas, Continuous control of chaos by self controlling feedback, Phys. Lett. A 170 (1992) 421-428.
    • (1992) Phys. Lett. a , vol.170 , pp. 421-428
    • Pyragas, K.1
  • 23
    • 0041595363 scopus 로고    scopus 로고
    • Impulse control of chaos in continuous systems
    • G.V. Osipov, A.K. Kozlov, V.P. Shalfeev, Impulse control of chaos in continuous systems, Phys. Lett. A 247 (1998) 119-128.
    • (1998) Phys. Lett. a , vol.247 , pp. 119-128
    • Osipov, G.V.1    Kozlov, A.K.2    Shalfeev, V.P.3
  • 24
    • 44049114329 scopus 로고
    • Controlling chaotic dynamical systems using time delay coordinates
    • G. Nitsch, U. Dresster, Controlling chaotic dynamical systems using time delay coordinates, Physica D 58 (1992) 153-164.
    • (1992) Physica D , vol.58 , pp. 153-164
    • Nitsch, U.1    Dresster, G.2
  • 25
    • 0009039794 scopus 로고
    • Open-Loop control of nonlinear systems
    • J.L. Breeden, Open-Loop control of nonlinear systems, Phys. Lett. A 190 (1994) 264-272.
    • (1994) Phys. Lett. a , vol.190 , pp. 264-272
    • Breeden, J.L.1
  • 26
    • 5344228512 scopus 로고
    • Predictable chaos in slightly perturbed unpredictable chaotic systems
    • K. Pyragas, Predictable chaos in slightly perturbed unpredictable chaotic systems, Phys. Lett. A 181 (1993) 203-210.
    • (1993) Phys. Lett. a , vol.181 , pp. 203-210
    • Pyragas, K.1
  • 27
    • 43949167979 scopus 로고
    • Experimental control of chaos by delayed - Controlling feedback
    • K. Pyragas, A. Tamaŝeviĉius, Experimental control of chaos by delayed - controlling feedback, Phys. Lett. A 180 (1993) 99-102.
    • (1993) Phys. Lett. a , vol.180 , pp. 99-102
    • Pyragas, K.1    Tamaŝeviĉius, A.2
  • 28
    • 0041355449 scopus 로고    scopus 로고
    • A new approach for controlling chaotic dynamical systems
    • K. Yagasaki, T. Uozumi, A new approach for controlling chaotic dynamical systems, Phys. Lett. A 238 (1998) 349-357.
    • (1998) Phys. Lett. a , vol.238 , pp. 349-357
    • Yagasaki T Uozumi, K.1
  • 29
    • 0008494528 scopus 로고
    • Determining Lyapunov exponents from a time series
    • A. Wolf, J. Swift, H. Swinney, J. Vastano, Determining Lyapunov exponents from a time series, Physica D 16 (1985) 285-317.
    • (1985) Physica D , vol.16 , pp. 285-317
    • Wolf, A.1    Swift, J.2    Swinney, H.3    Vastano, J.4
  • 30
    • 33750490125 scopus 로고
    • Local Lyapunov exponents in chaotic systems
    • B. Eckhardt, D. Yao, Local Lyapunov exponents in chaotic systems, Physica D 65 (1993) 100-108.
    • (1993) Physica D , vol.65 , pp. 100-108
    • Eckhardt D Yao, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.