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Titlebook: Dynamics: Numerical Explorations; Accompanying Compute Helena E. Nusse,James A. Yorke,Eric J. Kostelich Book 19941st edition Springer-Verla

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书目名称Dynamics: Numerical Explorations
副标题Accompanying Compute
编辑Helena E. Nusse,James A. Yorke,Eric J. Kostelich
视频video
丛书名称Applied Mathematical Sciences
图书封面Titlebook: Dynamics: Numerical Explorations; Accompanying Compute Helena E. Nusse,James A. Yorke,Eric J. Kostelich Book 19941st edition Springer-Verla
描述Plotting trajectories is a useful capability in exploring a dynamical system, but it is just the beginning. The Maryland Chaos Group developed an array of tools to help visualize the properties of dynamical systems induding automatic method for plotting all "basins and attractors " , and for automatically searching for all computing "straddle trajectories", periodic orbits of a specified period. In the investigations of the Maryland Chaos Group, I. A. Yorke found it useful to be able to combine these various basic tools with each other into so that each new study could benefit a single package that grew with time from the previous programming efforts. He has been writing this software and distributing versions for the last nine years. The resulting program Dynamics requires either a Unix workstation running XII graphics or an IBM PC compatible computer. Eric I. Kostelich has put in a great deal of effort to port the program to Unix workstations. Some basic tools in Dynamics, such as the computation of Lyapunov exponents and the use of Newton‘s method are standard. The method of computation of stable and unstable manifolds is superior to standard procedures. Dynamics is currently be
出版日期Book 19941st edition
关键词chaos; differential equation; dynamical systems; numerical method
版次1
doihttps://doi.org/10.1007/978-1-4684-0231-5
isbn_ebook978-1-4684-0231-5Series ISSN 0066-5452 Series E-ISSN 2196-968X
issn_series 0066-5452
copyrightSpringer-Verlag New York, Inc. 1994
The information of publication is updating

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Patrick Bosch,Steven Latré,Chris Blondia and y(0) after time k is x(k)−y(k). If these two initial conditions are close to each other, then the separation of these two points under forward iteration of the map F is approximately the matrix J(k) times the difference vector x(0)−y(0), Lyapunov exponents depend on a trajectory x(0), x(l), x(2
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Arkadeep Sen,Krishna M. Sivalingamllow explain the procedures for making a variety of bifurcation diagrams. What you want to display determines the kind of bifurcation diagram you require. As we will see in a moment, with the program it is rather easy to produce detailed bifurcation diagrams. These bifurcation diagrams show many sud
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Book 19941st editiony of tools to help visualize the properties of dynamical systems induding automatic method for plotting all "basins and attractors " , and for automatically searching for all computing "straddle trajectories", periodic orbits of a specified period. In the investigations of the Maryland Chaos Group,
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0066-5452 ed an array of tools to help visualize the properties of dynamical systems induding automatic method for plotting all "basins and attractors " , and for automatically searching for all computing "straddle trajectories", periodic orbits of a specified period. In the investigations of the Maryland Cha
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