Hybrid System Simulation (Winter 2009, Math 275 course project)

The project report slides describing the system.

The following describes the system being simulated:

•2D space with a heat distribution which evolution is governed by the heat equation with 0 boundary conditions on the rectangular domain

•Spaceship moves by choosing a random direction to accelerate at every time instance

•Rockets pursue spaceship by accelerating towards it

•Gravity pulls all objects towards origin

•Spaceship is prevented from leaving the display square

•Spaceship generates heat

•Heat decelerates rockets

•Once a rocket reaches spaceship an explosion is created and the rocket stops its pursuit for 5 time units

•Heat sink

This is a logic program defining the system: rockets.txt.

This is a slightly modified program: rockets2.txt.

This is a Java applet that will run “rockets.txt” example.

This is a Java applet that will run “rockets2.txt” example.

This is a Java applet that will not immediately run an example (a new window with graphics will open).

To load the file rockets.txt, set the time step to 0.4 and run the simulation for 1000 iterations please do the following after starting the applet (please type into the small window on the bottom)

loadLink("http://math.ucsd.edu/~abrik/rockets.txt")

dt=0.4

next(1000)

OR

loadLink("http://math.ucsd.edu/~abrik/rockets2.txt")

dt=0.4

next(1000)