periodic orbit meaning in Hindi

Examples

1. In several cases, the existence of a periodic orbit was known.
2. After the bifurcation there is no longer a periodic orbit.
3. This is usually accompanied by the birth or death of a periodic orbit.
4. For other values of \ rho, the system displays knotted periodic orbits.
5. The trace formula asserts that each periodic orbit contributes a sinusoidal term to the spectrum.
6. Periodic-orbit theory gives a recipe for computing spectra from the periodic orbits of a system.
7. The set of points that never leaves the neighborhood of the given periodic orbit form a fractal.
8. Thus, a heteroclinic orbit can be understood as the transition from one periodic orbit to another.
9. Using the trace formula to compute a spectrum requires summing over all of the periodic orbits of a system.
10. Without these restrictions, no continuous time system with fixed points or periodic orbits could have been structurally stable.