This process represents erosion. Write a program that implements this model. You can get an idea of suitable parameters to use from Leheny's paper. Analyze the network that is generated at different times. Chapter 6 Periodic and Non-periodic Orbits in a Central Potential.
B see the chapter pdf file for the formated text.
Some applications of calculus theorems indicate that the function is continuous. Notice that the integrals involved must be computed carefully because of their singularities at the two endpoints. Identify the progression of the first few fixed-points and cycles as the forcing increases from zero. Adapt the methods used in the second Project to test whether there is a counterpart of the scaling exponents a and d found in the Logistic Map. In this project, you will investigate the evolution of phase space regions for the damped driven motion of a particle in the double well.