Let the point
Consider the point
Add pi to the angle and change cardinal coordinate to -2 to get one alternate solution.
Therefore, the point P
Change the radial coordinate to -2 and subtract
Thus, the point
Use online graphing calculator and plot the points of P as shown below in Figure 1.
From the Figure 1 it can be noted that alternate representations are plotted on the same location.
Consider the linear transformation
be bases for
(i)Prove that if
(ii)Prove that the converse of(i) is also true.That is to say, if there exists a constant c such that
Interraption: To show that the system
A limit cycle is a closed trajectory. Isolated means that neighboring trajectories are not closed.
A limit cycle is said to be unstable or half stable, if all neighboring trajectories approach the lemin cycle.
These systems oscillate even in the absence of external periodic force.