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  • 1995-1999  (1)
  • 1990-1994  (1)
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  • 1
    Electronic Resource
    Electronic Resource
    The necessary condition for the appearance of chaos in two classes of forced vibration system with both square and cubic nonlinear terms (1991)
    Springer
    Acta mechanica solida Sinica 4 (1991), S. 381-386 
    Details
    ISSN: 0894-9166
    Keywords: nonlinear oscillation ; Melnikov's method ; chaos
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract Two classes of forced vibration system with both square and cubic nonlinear terms are treated as Hamiltonian integrable systems under small perturbation. The Melnikov's functions are given. Thus the necessary condition for induction of chaos in the systems is obtained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02207587
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  • 2
    Electronic Resource
    Electronic Resource
    A Modified Exact Linearization Control for Chaotic Oscillators (1999)
    Springer
    Nonlinear dynamics 20 (1999), S. 309-317 
    Details
    ISSN: 1573-269X
    Keywords: nonlinear oscillations ; chaos ; control ; input-output linearization
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The control of chaotic oscillations is investigated in this paper. A control methodology, termed input-output linearization, is modified by locally linearizing the nonlinear control law in the small neighborhood of the control goal. Its suitability for controlling chaotic oscillators is analyzed. The forced Duffing oscillator is treated as a numerical example of controlling chaotic motion to a given fixed point and a given period-2 motion. The control signals and time needed to achieve the desired goals of the modified method are compared with those of the original method. The robustness of the control law is demonstrated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008312908664
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    Paper (German National Licenses)
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