Dynamics: Numerical Explorations (Applied Mathematical Sciences)

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9780387943343: Dynamics: Numerical Explorations (Applied Mathematical Sciences)

This handbook decribes how to use the programme Dynamics to investigate dynamical systems. Co-author J.A. Yorke, while working with the Maryland Chaos Group, developed an array of tools to help visualize the properties of dynamical systems. Yorke found it useful to combine these basic tools into a single package. The resulting programme is "Dynamics", which requires either a UNIX workstation running X11 graphics or an IBM PC compatible computer. The programme, together with the accompanying manual, provides an introduction to and an overview of fundamental, sophisticated tools and numerical methods together with many simple examples. All numerical methods described in this handbook are implemented in the programme. Some of the programme's capabilities are: iterating maps and solving differential equations; plotting trajectories; featuring an array of simple commands; and printing a created picture in resolution higher than that of the screen. This software package helps the novice to begin immediately exploring dynamical systems with a broad array of interactive techniques.

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