Details

Title

Nonlinear response of a harmonically driven oscillator in magnetic field

Journal title

Archives of Control Sciences

Yearbook

2010

Numer

No 1

Publication authors

Divisions of PAS

Nauki Techniczne

Publisher

Committee of Automatic Control and Robotics PAS

Date

2010

Identifier

ISSN 1230-2384

References

Awrejcewicz J. (2005), Quantifying smooth and nonsmooth regular and chaotic dynamics, Int. J. of Bifurcation and Chaos, 15, 6, 2041. ; Awrejcewicz J. (2005), Influence of hysteretic dissipation on chaotic responses, J. of Sound and Vibration, 284, 513. ; Awrejcewicz J. (2003), Numerical analisis of chosen chaotic dynamical problems. ; Bertotti G. (1998), Hysteresis in magnetism. ; Biorci G. (1958), Analytical theory of the behavior of ferromagnetic materials, Il Nuovo Cimento, 7, 6, doi.org/10.1007/BF02745588 ; Borowiec M. (2007), Vibration of the duffing oscillator: Effect of fractional damping, Shock and Vibration, 14, 29. ; S. De Souza (2007), A simple feedback control for a chaotic oscillator with limited power supply, J. of Sound and Vibration, 299, 664. ; S. De Souza (2008), Control and chaos for vibro-impact and non-ideal oscillators, J. of Theoretical and Applied Mechanics, 46, 3, 641. ; K. Dziedzic: Dynamic of rotors with active magnetic damping in bearings. PhD thesis, Warsaw University of Technology, 2005, (in Polish). ; Gan H. (2006), Noise-induced chaos in duffing oscillator with double wells, Nonlinear Dynamics, 45, 305. ; Hein H. (2007), Response of nonlinear oscillators with random frequency of excitation, revisited, J. of Sound and Vibration, 301, 1040. ; Inayat-Hussain J. (2007), Chaos via torus breakdownin the vibration response of a rigid rotor supported by active magnetic bearings, Chaos, Solitons and Fractals, 31, 912. ; Jin L. (2006), A metod for calculating the spectrum of Lyapunov exponents by local maps in non-smooth impact vibrating systems, J. of Sound and Vibration, 298, 1019. ; Knoepfel H. (2000), Magnetic Fields. ; Ott E. (1997), Chaos in dynamical systems. ; Przybyłowicz P. (2008), Magnetic damping of harmonic oscillator vibration, Modelowanie Inżynierskie, 35, 101. ; Przybyłowicz P. (2009), Electromagnetic damping of a mechanical harmonic oscillator with the effect of magnetic hysteresis, J. of Theoretical and Applied Mechanics, 47, 2, 259. ; Rangarajan G. (1998), Lyapunov exponents without rescaling and reorthogonalization, Physical Review Letters, 80, 3747. ; M. Siewe Siewe (2005), Bifurcations and chaos in the triple-well Φ<sup>6</sup>-Van der Pol oscillator driven by external and parametric excitations, Physica A, 357, 383. ; Wolf A. (1985), Determining Lyapunov exponents from a time series, Physica D, 16, 285. ; Yang G. (2005), On the computation of Lyapunov exponents for forced vibration of a Lennard-Jones oscillator, Chaos, Solitons and Fractals, 23, 833.

DOI

10.2478/v10170-010-0002-y

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