We immediately obtain an integral curve which exhibits sinusoidal expansion and reconvergence cycles.
2.
In this example, the other integral curves are all simple closed curves.
3.
These integral curves are called the characteristic curves of the original partial differential equation.
4.
This hypotenuse is parallel to the tangent line of the integral curve at that corresponds to.
5.
In this formulation, the solutions of the Hamilton Jacobi equations are the integral curves of Hamiltonian vector fields.
6.
In other words, the graph of the solution must be a union of integral curves of this vector field.
7.
The geodesic lines are the projections of integral curves of the geodesic flow onto the manifold " M ".
8.
Integral curves are known by various other names, depending on the nature and interpretation of the differential equation or vector field.
9.
Associated to any Hamiltonian is a Hamiltonian vector field; the integral curves of the Hamiltonian vector field are solutions to Hamilton's equations.
10.
If the differential curve is the unit circle, the integral curve intersects the lines at points that are equally spaced at a distance of / 2.
