Surrng Arnold's Web Typeset Using Revt E X 1

نویسندگان

  • Rupak Chatterjee
  • A D Jackson
چکیده

The free motion of a rigid one-dimensional stick colliding elastically within an innnitely massive circular wall is rst shown to be equivalent to the three-dimensional motion of a billiard ball within a spiral column and then mapped onto a two-dimensional billiard problem with a rotating billiard wall. Indications that such a system has chaotic orbits and can possess integrable orbits is provided through the use of projected Poincar e sections. When chaotic and integrable orbits co-exist, the chaotic trajectories appear in the form of Arnold's web. We also consider the limit of a stick of zero length in which the system becomes integrable.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Typeset Using Revt E X 1

The HQET/NRQCD Lagrangian is computed to order α/m3. The computation is performed using dimensional regularization to regulate the ultraviolet and infrared divergences. The results are consistent with reparametrization invariance to order 1/m3. Some subtleties in the matching conditions for NRQCD are discussed. Typeset using REVTEX 1

متن کامل

Adjoint \quark" Color Elds in Four-dimensional Lattice Gauge Theory: Vacuum Screening and Penetration Typeset Using Revt E X

The elds generated by \quarks" in the adjoint representation of SU(2) color are analyzed in the scaling region of the four-dimensional lattice theory. Evidence of vacuum screening of adjoint quarks is obtained from a comparison of quark-antiquark (QQ) ux-tubes for quarks in the adjoint (\isospin" j = 1) and fundamental (j = 1=2) representations. The component E j of the colorelectric eld streng...

متن کامل

Interesting Magnetic Properties of Fe 1−x Co X Si Alloys Typeset Using Revt E X

Solid solution between nonmagnetic narrow gap semiconductor FeSi and diamagnetic semi-metal CoSi gives rise to interesting metallic alloys with longrange helical magnetic ordering, for a wide range of intermediate concentration. We report various interesting magnetic properties of these alloys, including low temperature re-entrant spin-glass like behaviour and a novel inverted magnetic hysteres...

متن کامل

Do Inertial Electric Charges Radiate with Respect to Uniformly Accelerated Observers? * Typeset Using Revt E X

We revisit the long standing problem of analyzing an inertial electric charge from the point of view of uniformly accelerated observers in the context of semi-classical gravity. We choose a suitable set of accelerated observers with respect to which there is no photon emission coming from the inertial charge. We discuss this result against previous claims [1]. 04.60.+n Typeset using REVTEX This...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1997