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A chaotic limit cycle paradox

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Publication:1803811
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DOI10.1007/BF01968529zbMath0771.93039MaRDI QIDQ1803811

Walter J. Grantham, Byoungsoo Lee

Publication date: 29 June 1993

Published in: Dynamics and Control (Search for Journal in Brave)


zbMATH Keywords

Lyapunov exponentchaotic strange attractorDuffing's equationKaplan-Yorke Lyapunov fractal dimension


Mathematics Subject Classification ID

Control/observation systems governed by ordinary differential equations (93C15)


Related Items

Lyapunov exponents of a class of piecewise continuous systems of fractional order ⋮ Generalization of the simplest autonomous chaotic system ⋮ Multiple coexisting attractors and hysteresis in the generalized Ueda oscillator ⋮ PERIODICALLY FORCED CHAOTIC SYSTEM WITH SIGNUM NONLINEARITY ⋮ Linearization of the Lorenz system


Uses Software

  • ODEPACK


Cites Work

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  • Simple feedback systems with chaotic behaviour
  • Determining Lyapunov exponents from a time series
  • On chaos and fractal behavior in a generalized Duffing's system
  • Regular and stochastic motion
  • Chaos in non-linear sampled-data control systems
  • Automatic Selection of Methods for Solving Stiff and Nonstiff Systems of Ordinary Differential Equations
  • Chaotic motion in an adaptive control system†
  • A magnetoelastic strange attractor
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