A tutorial and diagnostic tool for chaotic oscillators and time series13;

Chandra, S (1997) A tutorial and diagnostic tool for chaotic oscillators and time series13;. Computers and Graphics, 21 (2). pp. 253-262.

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    Abstract

    A tutorial and diagnostic visual tool is used to compute a set of strange attractors for a double oscillator.The tool provides a visual environment to detect chaotic behaviour from a time series. Here, computation and visualization are coupled together in a single environment. Common techniques to detect chaos involve the visualization of phase portraits and Poincare maps, apart from the computation of fractal dimension, Lyapunov exponents and Fast Fourier Transforms (FFT). Results from these computations must be viewed graphically before a decision about the chaotic behaviour of a system can be made. In many cases, the use of a single technique may not always guarantee conclusive evidence that a system's behaviour is chaotic.A few numerical integration schemes are built into the environment to generate a time series. The environment is demonstrated first with the use of the Duffing oscillator and the chaotic behaviour of a double oscillator is then presented, which provides an interesting set of strange attractors.

    Item Type: Journal Article
    Additional Information: Copyright belongs to Elsevier Science Ltd.,
    Uncontrolled Keywords: Tutorial;Diagnostic tool;Chaotic ocillators;Lyapunov;Poincare maps
    Subjects: ENGINEERING > Structural Mechanics
    Division/Department: Structures Division
    Depositing User: Mr. N A
    Date Deposited: 24 Jun 2006
    Last Modified: 03 May 2012 11:36
    URI: http://nal-ir.nal.res.in/id/eprint/1433

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