periodic orbit वाक्य
उदाहरण वाक्य
मोबाइल
- In several cases, the existence of a periodic orbit was known.
- After the bifurcation there is no longer a periodic orbit.
- This is usually accompanied by the birth or death of a periodic orbit.
- For other values of \ rho, the system displays knotted periodic orbits.
- The trace formula asserts that each periodic orbit contributes a sinusoidal term to the spectrum.
- Periodic-orbit theory gives a recipe for computing spectra from the periodic orbits of a system.
- The set of points that never leaves the neighborhood of the given periodic orbit form a fractal.
- Thus, a heteroclinic orbit can be understood as the transition from one periodic orbit to another.
- Using the trace formula to compute a spectrum requires summing over all of the periodic orbits of a system.
- Without these restrictions, no continuous time system with fixed points or periodic orbits could have been structurally stable.
- Furthermore, the non-wandering set of the system is precisely the union of singular points and periodic orbits.
- In the apparently periodic phases the behaviour is only nearly periodic, slowly drifting away from an unstable periodic orbit.
- At the bifurcation point the period of the periodic orbit has grown to infinity and it has become a homoclinic orbit.
- The intersection of the periodic orbit with the Poincar?section is a fixed point of the Poincar?map " F ".
- In another example, Feigenbaum period-doubling describes how a stable periodic orbit goes through a series of period-doubling bifurcations.
- The second comet found to have a periodic orbit was Encke's Comet ( with the official designation of 2P / Encke ).
- The stability of a periodic orbit of the original system is closely related to the stability of the fixed point of the corresponding Poincar?map.
- For example, the Ruelle & ndash; Takens scenario describes how a periodic orbit bifurcates into a torus and the torus into a strange attractor.
- The intersection of the disk with the given periodic orbit comes back to itself every period of the orbit and so do points in its neighborhood.
- The appearance or the disappearance of a periodic orbit through a local change in the stability properties of a steady point is known as the Hopf bifurcation.
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