www.heteroclinic.net
For QT developer: the source code is here source code. A kaopoo/practical in-hand story is -- Visual C++ 2010 express, QT 4.7.1.(configure static, nmake). We also put the beta version user manual in pdf form here. An AUTO solution we select is the Lorenz Manifold. More are coming. The file 's15.zip' has to be unzipped as 's.15'. According to a filter all files should begin with 's.' something.A shortcut to play with the 's.15' is: click 'add a solution', click 'scene tool', click 'Construct a manifold'. The Lorenz manifold is computed by AUTO . |
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Android Development Kits can be Android Simulator, Eclipse IDE Android SDK. Using these tools, we build a stand-alone Eclipse project using the Kube demo. But we find OpenGL ES needs a 3D transformation wrapper for Java, for example, getFloatv() is omitted. We also use the Facebook API for Android SDK. We can add a button and list all the friends of the current logged in user. Android Application + Facebook API, Example.java. |
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The full text in pdf is here, the abstract, and the final presentation. In this thesis, we start with the basic concepts of dynamical systems. Then we introduce the general types of problems that the well-known software package AUTO solves. AUTO uses a boundary value algorithm with Gaussian collocation and pseudo-arclength continuation. The two features distinguish AUTO from other general ODE solvers for dynamical systems. In order to compute 2D solution manifolds, AUTO uses orbit continuation. With these tools, we study two famous problems, the Lorenz system and the circular restricted Three-Body problem (CR3BP). We brie fly discuss the basic bifurcation and stability analysis of ODE systems. The numerical analysis of the two problems leads to the newest algorithm to compute the 2D stable manifold of the origin of the Lorenz system and the 2D unstable manifold of appropriate periodic orbits of the CR3BP. We utilize Python for the flow control of AUTO. We also implement two visualization packages, QTPlaut and MATPlaut. They make possible the processing of large quantities of AUTO solution data with the OpenGL graphical library, dynamic memory allocation and interpolation methods. We conclude with prospect for future research. |
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This project is looking for investment for hardware, market and publishing. We are trying to make it cross-platform. We are also trying to port it to mobile device. The final project should be played as single player, peers through LAN, even fleets on the cyberspace. |