# однооборотный предельный цикл

## English translation: period one/two orbit or period one/two limit cycle

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GLOSSARY ENTRY (DERIVED FROM QUESTION BELOW)
 Russian term or phrase: однооборотный предельный цикл English translation: period one/two orbit or period one/two limit cycle Entered by:

 21:38 Mar 10, 2004
Russian to English translations [PRO]
Science - Science (general) / phase trajectories, chaos
 Russian term or phrase: однооборотный предельный цикл Вблизи правой границы области хаоса фазовые траектории стремятся к некоторому устойчивому предельному циклу (однооборотному в граничной точке C и двухобортному в...)
 Nik-On/OffUkraine Local time: 21:14
 period one/two orbit or period one/two limit cycle Explanation:Varying the control parameter in the logistic map ... This orbit is called a period two orbit (or period two limit cycle), and the two points between which the orbit oscillates are sometimes labelled as period-two ... staff.science.nus.edu.sg/~parwani/c1/node32.html --------------------------------------------------Note added at 2004-03-11 01:26:35 (GMT)--------------------------------------------------Numerous examples of phase trajectories, period one, two, etc., orbits can be found in Google, e.g., \"This strange set is generated by an orbit of the bouncing ball system, and it is chaotic in that orbits in this set exhibit sensitive dependence on initial conditions. This sensitive dependence on initial conditions is easy to see in the bouncing ball system when we solve for the impact phases and velocities for the exact model with the numerical procedure described in Appendix A. First consider two slightly different trajectories that converge to the same period one orbit. As shown in Table 1.2, these orbits initially differ in phase by 0.00001. This phase difference increases a little over the next few impacts, but by the eleventh impact the orbits are indistinguishable from each other, and by the eighteenth impact they are indistinguishable from the period one orbit. Thus the difference between the two orbits decreases as the system evolves.\"
Selected response from:

Jack Slep
Local time: 14:14
 I was almost sure that nobody would come up with an acceptible answer. Wrong was I! Thanks a lot!4 KudoZ points were awarded for this answer

4 +1period one/two orbit or period one/two limit cycle
 Jack Slep
4limit cycleAndre Zuban

3 hrs   confidence:
однооборотный предельный цикл
limit cycle

Explanation:
устойчивый предельный цикл - stable limit cycle
неустойчивый предельный цикл - unstable limit cycle
однооборотный предельный предельный цикл - two stable limit cycles

 Andre ZubanUnited StatesLocal time: 14:14Native speaker of: Russian

3 hrs   confidence: peer agreement (net): +1
period one/two orbit or period one/two limit cycle

Explanation:
Varying the control parameter in the logistic map
... This orbit is called a period two orbit (or period two limit cycle), and the two
points between which the orbit oscillates are sometimes labelled as period-two ...
staff.science.nus.edu.sg/~parwani/c1/node32.html

--------------------------------------------------
Note added at 2004-03-11 01:26:35 (GMT)
--------------------------------------------------

Numerous examples of phase trajectories, period one, two, etc., orbits can be found in Google, e.g.,
\"This strange set is generated by an orbit of the bouncing ball system, and it is chaotic in that orbits in this set exhibit sensitive dependence on initial conditions. This sensitive dependence on initial conditions is easy to see in the bouncing ball system when we solve for the impact phases and velocities for the exact model with the numerical procedure described in Appendix A. First consider two slightly different trajectories that converge to the same period one orbit. As shown in Table 1.2, these orbits initially differ in phase by 0.00001. This phase difference increases a little over the next few impacts, but by the eleventh impact the orbits are indistinguishable from each other, and by the eighteenth impact they are indistinguishable from the period one orbit. Thus the difference between the two orbits decreases as the system evolves.\"

see above
 Jack SlepLocal time: 14:14Specializes in fieldNative speaker of: EnglishPRO pts in category: 184
 I was almost sure that nobody would come up with an acceptible answer. Wrong was I! Thanks a lot!

agree
 8 hrs
-> Thanks Nuke!

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