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Compactness and Index of Ordinary Central Configurations for the Curved N-Body Problem

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......

Kovalevskaya Exponents, Weak Painleve Property and Integrability for Quasi-homogeneous Differential Systems

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......

On the Convex Central Configurations of the Symmetric (l+2)-body Problem

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......

A New (3+1)-dimensional Hirota Bilinear Equation: Its Backlund Transformation and Rational-type Solutions

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......

Tangential Trapezoid Central Configurations

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......

Persistence of Hyperbolic-type Degenerate Lower-dimensional Invariant Tori with Prescribed Frequencies in Hamiltonian Systems

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......

Conservation Laws for Highly Dispersive Optical Solitons in Birefringent Fibers

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......

A Lagrangian Analysis of Vortex Formation in the Wake behind a Transversely Oscillating Cylinder

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 ......

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