#### Filter Results:

- Full text PDF available (9)

#### Publication Year

2003

2008

- This year (0)
- Last 5 years (0)
- Last 10 years (0)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

- Anna Rapoport
- 2005

The behavior of a point particle traveling with a constant speed in a region D âŠ‚ RN , undergoing elastic collisions at the regionsâ€™s boundary, is known as the billiard problem. Various billiardâ€¦ (More)

- Anna Rapoport, Vered Rom-Kedar
- Chaos
- 2006

It is demonstrated numerically that smooth three degrees of freedom Hamiltonian systems that are arbitrarily close to three-dimensional strictly dispersing billiards (Sinai billiards) have islands ofâ€¦ (More)

- Anna Rapoport, Vered Rom-Kedar
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2008

Consider a classical two-dimensional scattering problem: a ray is scattered by a potential composed of several tall, repelling, steep mountains of arbitrary shape. We study when the traditionalâ€¦ (More)

Theorem 1. The rectangular 1 Ã— x can be " squared " 1 iff x âˆˆ Q. Proof. If x âˆˆ Q the proof is easy. Consider x = p q. Take a rectangular (p Ã— q) divided on pq (1 Ã— 1) squares and shrink each side ofâ€¦ (More)

Consider a family of smooth potentials V Îµ , which, in the limit Îµ â†’ 0, become a singular hard-wall potential of a multi-dimensional billiard. We define auxiliary billiard domains that asymptote, asâ€¦ (More)

The singular billiard limit of smooth steep scattering potentials is utilized as a skeleton for studying the properties of the scattering problem; It is shown that for one class of chaoticâ€¦ (More)

- Kh P Takhchidi, V N KazaÄkin, Anna Rapoport, Vladimir S. Kazantsev, G V Chashchin
- Vestnik Rossiiskoi akademii meditsinskikh nauk
- 2007

The aim of this work was to solve the problem of prognostification of anatomic and functional results of treatment of retinal detachment (RD) with silicone oil tamponade. Analysis of the treatment ofâ€¦ (More)

- Anna Rapoport
- 2007

The appearance of elliptic periodic orbits in families of n-dimensional smooth repelling billiard-like potentials that are arbitrarily steep is established for any finite n. Furthermore, theâ€¦ (More)

- Anna Rapoport
- 2004

1. Compute the center manifold (to second order), and the reduced system on it (to third order), and conclude regarding the behavior of the systems near the origin (draw phase portrait) for F(x, y) =â€¦ (More)

The appearance of elliptic periodic orbits in families of n-dimensional smooth repelling billiard-like potentials that are arbitrarily steep and limit to Sinai billiards is established for any finiteâ€¦ (More)

- â€¹
- 1
- â€º