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An introduction to nonlinear dynamics

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Publication:1058880
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DOI10.1016/0307-904X(84)90085-4zbMath0565.70024MaRDI QIDQ1058880

J. M. T. Thompson

Publication date: 1984

Published in: Applied Mathematical Modelling (Search for Journal in Brave)


zbMATH Keywords

domain of attractioncontraction mappingqualitative methodsforced Duffing's equationresonance of self excited systemsStroboscopic techniques


Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05)


Related Items (3)

Harmonic and subharmonic solutions of the SD oscillator ⋮ On the computation of domains of attraction during the dynamic modelling of oscillating systems ⋮ Optimal actuation of nonlinear resonant systems




Cites Work

  • Resonance-sensitivity in dynamic Hopf bifurcations under fluid loading
  • The bifurcations of duffing's equation: An application of catastrophe theory
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