Dynamics: Numerical Explorations : Accompanying Computer Program Dynamics - Softcover

Inhaltsangabe

1. Getting the program running.- 1.1 The Dynamics program and hardware.- 1.2 Getting started with Dynamics.- Appendix: Description of the interrupts.- 2. Samples of Dynamics: pictures you can make simply.- 2.1 Introduction.- 2.2 Complex pictures that are simple to make.- Appendix: Command for plotting a graph and Commands from the Main Menu.- 3. Screen utilities.- 3.1 Clear or Refresh screen and set Text Level (Screen Menu SM).- 3.2 The arrow keys and boxes (BoX Menu BXM).- 3.3 Initializing trajectories, plotting crosses, drawing circles and their iterates (cross Menu KM).- 3.4 Drawing axes (AXes Menu AXM).- 3.5 Windows and rescaling (Window Menu WM).- 3.6 Setting colors (Color Menu CM and Color Table Menu CTM).- 4. Utilities.- 4.1 Setting parameters (Parameter Menu PM).- 4.2 Setting and replacing a vector (Vector Menu VM).- 4.3 Setting step size (Differential Equation Menu DEM).- 4.4 Saving pictures and data (Disk Menu DM).- 4.5 Setting the size of the core (Size of Core Menu SCM).- 4.6 Printing pictures (PriNter Menu PNM).- 5. Dimension and Lyapunov exponents.- 5.1 Introduction and the Methods.- 5.2 Lyapunov Menu LM.- 5.3 Examples.- 5.4 Exercises.- 5.5 References related to Dynamics.- 6. Bifurcation diagrams.- 6.1 Introduction and the Methods.- 6.2 BIFurcation diagram Menu BIFM.- 6.3 Examples.- 6.4 Exercises.- 6.5 References related to Dynamics.- 7. Basins of attraction.- 7.1 Introduction and the Methods.- 7.2 Basin of attraction Menu BM.- 7.3 Examples.- 7.4 Exercises.- 7.5 References related to Dynamics.- 8. Straddle trajectories.- 8.1 Introduction and the Methods.- 8.2 Straddle Trajectory Menu STM.- 8.3 Examples.- 8.4 Exercises.- 8.5 References related to Dynamics.- 9. Unstable and stable manifolds.- 9.1 Introduction and the Methods.- 9.2 Unstable and stable manifold Menu UM.- 9.3 Examples.- 9.4 Exercises.- 9.5 References related to Dynamics.- 10. Finding periodic orbits.- 10.1 Introduction and the Methods.- 10.2 Periodic Orbit Menu POM.- 10.3 Examples.- 10.4 Exercises.- 10.5 References related to Dynamics.- 11. Following periodic orbits.- 11.1 Introduction and the Methods.- 11.2 Follow Orbit Menu FOM.- 11.3 Examples.- 11.4 Exercises.- 11.5 References related to Dynamics.- 12. Changing the program.- 12.1 Modifying a process: Recompiling the program.- 12.2 Adding a new map.- 12.3 The vector y and computing Lyapunov exponents.- 12.4 Adding a new differential equation.- 12.5 Getting data printed out or sent to a file.- 13. Dynamics on Unix systems.- 14. Appendix.- 14.1 The map Q.- 14.2 Alphabetical list of the (sub)menus.- 14.3 Tree of the menus.- 14.4 List of menu commands.- 14.5 Tables of the Figures.- 15. References.- 16. Index of the commands and terms.

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