In this work, we revisit the planar restricted four-body problem to study the dynamics of an
infinitesimal mass under the gravitational force produced by three heavy bodies with …

In this paper, we present a modified version of Hill's dynamical system that is called the
quantized Hill's three‐body problem in the sense that the equations of motion for the …

We give a computer-assisted proof of the full listing of central configuration for n-body
problem for Newtonian potential on the plane for n= 5, 6, 7 n= 5, 6, 7 with equal masses. We …

This paper is devoted to local bifurcations of three-dimensional (3D) quadratic jerk system.
First, we start by analysing the saddle-node bifurcation. Then we introduce the concept of …

Celestial mechanics is the branch of mathematical astronomy devoted to studying the
motions of celestial bodies subject to the Newtonian law of gravitation. This mathematical …

We consider a symmetric five-body problem with three unequal collinear masses on the axis
of symmetry. The remaining two masses are symmetrically placed on both sides of the axis …

An Equivalent Formulation of the Averaged Functions via Bell Polynomials | SpringerLink
Skip to main content Advertisement Springer Nature Link Account Menu Find a journal …

We study the zero-Hopf bifurcation of the third-order differential equations x^ ′ ′ ′+(a_ 1
x+ a_ 0) x^ ′ ′+(b_ 1 x+ b_ 0) x^ ′+ x^ 2= 0, x ″′+(a 1 x+ a 0) x ″+(b 1 x+ b 0) x′+ x …

We provide an upper bound for the maximum number of limit cycles bifurcating from the
periodic solutions of x ̈+ x= 0, when we perturb this system as follows x ̈+ ε (1+ cos m θ) Q …

A Four-Body Convex Central Configuration with Perpendicular Diagonals is Necessarily a Kite
| Qualitative Theory of Dynamical Systems Skip to main content Springer Nature Link Account …