Found 17 Documents (Results 1–17)
Exponential stability of fast driven systems, with an application to celestial mechanics. (English) Zbl 1472.34104
Reviewer: Bertin Zinsou (Johannesburg)
Chazy-type asymptotics and hyperbolic scattering for the \(n\)-body problem. (English) Zbl 1464.70007
Reviewer: Xiang Yu (Chengdu)
Asymptotic density of collision orbits in the restricted circular planar 3 body problem. (English) Zbl 1471.70008
Reviewer: Maria Gousidou-Koutita (Thessaloniki)
Necessary conditions and existence criteria for linear integral invariants of multidimensional differential systems. (Russian. English summary) Zbl 1395.70023
The computational complexity of the initial value problem for the three body problem. (English. Russian original) Zbl 1379.65049
J. Math. Sci., New York 224, No. 2, 221-230 (2017); translation from Zap. Nauchn. Semin. POMI 448, 80-95 (2016).
Reviewer: Raffaella Pavani (Milano)
The splitting of separatrices, the branching of solutions, and nonintegrability of many-dimensional systems. application to the problem of the motion of a spherical pendulum with an oscillating suspension point. (English. Russian original) Zbl 1426.37048
J. Math. Sci., New York 214, No. 6, 755-801 (2016); translation from Fundam. Prikl. Mat. 19, No. 3, 23-90 (2014).
Oscillatory motions for the restricted planar circular three body problem. (English) Zbl 1398.70030
Reviewer: Maria Gousidou-Koutita (Thessaloniki)
MSC:
70F07
Integrals in involution for groups of linear symplectic transformations and natural mechanical systems. (English. Russian original) Zbl 0995.37042
Funct. Anal. Appl. 34, No. 3, 179-187 (2000); translation from Funkts. Anal. Prilozh. 34, No. 3, 26-36 (2000).
Reviewer: Iskander A.Taimanov (Novosibirsk)
Integral invariants of the Hamilton equations. (English. Russian original) Zbl 0853.58052
Math. Notes 58, No. 3, 938-947 (1995); translation from Mat. Zametki 58, No. 3, 379-393 (1995).
Reviewer: W.J.Satzer jun.(St.Paul)
Some new dynamical effects in the perturbed Euler-Poinsot problem, due to splitting of separatrices. (English. Russian original) Zbl 0722.70005
J. Appl. Math. Mech. 53, No. 2, 165-173 (1989); translation from Prikl. Mat. Mekh. 53, No. 2, 215-225 (1989).
On the symmetry groups of dynamic systems. (English. Russian original) Zbl 0704.70012
J. Appl. Math. Mech. 52, No. 4, 413-420 (1988); translation from Prikl. Mat. Mekh. 52, No. 4, 531-541 (1988).
The effect of singularities of the potential energy on the integrability of mechanical systems. (English. Russian original) Zbl 0587.70017
J. Appl. Math. Mech. 48(1985), 255-260 (1984); translation from Prikl. Mat. Mekh. 48, 356-362 (1984).
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