Flocking behavior research
Flocking behavior is the behavior exhibited when a group of birds, called a flock, are foraging or in flight. There are parallels with the shoaling behavior of fish, the swarming behavior of insects, and herd behavior of land animals. What we want to do is to build the mathematics models and use these models to describe the flocking phenomenon. Many mathematics scientists have made great contribution to study the flocking phenomenon. We will use the knowledge of the differential dynamical system to study it. Based on the work done for resent ten years, we will do this research for two steps. First, we will build a new flocking model with leaders and try to study the proper of this model. Second, after finish the first step study work, we want to optimize the initial conditions of C-S model and use the La Salle’s Invariance Principle to solve this problem.