Author | Nusse, Helena E. author |
---|---|
Title | Dynamics: Numerical Explorations [electronic resource] : Accompanying Computer Program Dynamics / by Helena E. Nusse, James A. Yorke, Eric J. Kostelich |
Imprint | New York, NY : Springer US, 1994 |
Connect to | http://dx.doi.org/10.1007/978-1-4684-0231-5 |
Descript | XIII, 485 p. online resource |
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