9 citations · 27 across the 11 of their papers we have counts for
11 papers
An extensive search for stable periodic orbits of the equal-mass zero angular momentum three-body problem
Ivan Hristov, Radoslava Hristova, Kiyotaka Tanikawa
A special 2D initial conditions' domain of the equal-mass zero angular momentum planar three-body problem, which has been formerly studied, is analyzed to deepen the knowledge of t…
Numerical search for three-body periodic free-fall orbits with central symmetry
I. Hristov, R. Hristova, T. Puzynina +2
A specialized high-precision numerical search for equal-mass collisionless three-body periodic free-fall orbits with central symmetry is conducted. The search is based on Newton's…
An efficient approach for searching three-body periodic orbits passing through Eulerian configuration
Ivan Hristov, Radoslava Hristova
A new efficient approach for searching three-body periodic equal-mass collisionless orbits passing through Eulerian configuration is presented. The approach is based on a symmetry…
Three-body periodic collisionless equal-mass free-fall orbits revisited
Ivan Hristov, Radoslava Hristova, Veljko Dmitrašinović +1
Li and Liao announced (2019) discovery of 313 periodic collisionless orbits' initial conditions (i.c.s), 30 of which have equal masses, and 18 of these 30 orbits have physical peri…
A database of high precision trivial choreographies for the planar three-body problem
I. Hristov, R. Hristova, I. Puzynin +3
Trivial choreographies are special periodic solutions of the planar three-body problem. In this work we use a modified Newton's method based on the continuous analog of Newton's me…
New families of periodic orbits for the planar three-body problem computed with high precision
I. Hristov, R. Hristova, I. Puzynin +3
In this paper we use a Modified Newton's method based on the Continuous analog of Newton's method and high precision arithmetic for a general numerical search of periodic orbits fo…
Newton's method for computing periodic orbits of the planar three-body problem
I. Hristov, R. Hristova, I. Puzynin +3
In this paper we present in detail Newton's method and its modification, based on the Continuous analog of Newton's method for computing periodic orbits of the planar three-body pr…
On the efficient parallel computing of long term reliable trajectories for the Lorenz system
I. Hristov, R. Hristova, S. Dimova +6
In this work we propose an efficient parallelization of multiple-precision Taylor series method with variable stepsize and fixed order. For given level of accuracy the optimal vari…
Parallelizing multiple precision Taylor series method for integrating the Lorenz system
I. Hristov, R. Hristova, S. Dimova +6
A hybrid MPI+OpenMP strategy for parallelizing multiple precision Taylor series method is proposed, realized and tested. To parallelize the algorithm we combine MPI and OpenMP para…
OpenMP parallelization of multiple precision Taylor series method
S. Dimova, I. Hristov, R. Hristova +5
OpenMP parallelization of multiple precision Taylor series method is proposed. A very good parallel performance scalability and parallel efficiency inside one computation node of a…
Cavity and background oscillations in Intrinsic Josephson Junctions
Ivan Hristov, Radoslava Hristova, Stefka Dimova
Starting with zero initial conditions we simulate the current-voltage characteristics (CVCs) of Intrinsic Josephson Junctions (IJJ) for parameters close to that of the BSCCO mesas.…