期刊: REGULAR & CHAOTIC DYNAMICS, 2021; 26 (3)
For the curved n-body problem, we show that the set of ordinary central configurations is away from singular configurations in H(3 )with positive mome......
期刊: REGULAR & CHAOTIC DYNAMICS, 2020; 25 (3)
We present some necessary conditions for quasi-homogeneous differential systems to be completely integrable via Kovalevskaya exponents. Then, as an ap......
期刊: REGULAR & CHAOTIC DYNAMICS, 2020; 25 (3)
For the 4-body problem there is the following conjecture: Given arbitrary positive masses, the planar 4-body problem has a unique convex central confi......
期刊: REGULAR & CHAOTIC DYNAMICS, 2020; 25 (4)
The behavior of specific dispersive waves in a new (3+1)-dimensional Hirota bilinear (3D-HB) equation is studied. A Backlund transformation and a Hiro......
期刊: REGULAR & CHAOTIC DYNAMICS, 2020; 25 (6)
A tangential trapezoid, also called a circumscribed trapezoid, is a trapezoid whose four sides are all tangent to a circle within the trapezoid: the i......
期刊: REGULAR & CHAOTIC DYNAMICS, 2020; 25 (6)
It is known that under Kolmogorov's nondegeneracy condition, the nondegenerate hyperbolic invariant torus with Diophantine frequencies will persist un......
期刊: REGULAR & CHAOTIC DYNAMICS, 2020; 25 (2)
This paper reports conservation laws for highly dispersive optical solitons in birefringent fibers. Three forms of nonlinearities are studied which ar......
期刊: REGULAR & CHAOTIC DYNAMICS, 2018; 23 (5)
A vortex pair + single vortex (P+S) wake behind a transversely oscillating cylinder is investigated from the Lagrangian point of view. The Lagrangian ......