We obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of a family of cubic polynomial ...

In the present paper, for the three-order nilpotent critical point of a cubic Lyapunov system, the center problem and bifurcation of limit cycles are investigated. With the ...

We study the dynamics of a two- degree-offreedom (pitch and plunge) aeroelastic system where the aerodynamic forces are modeled as a piecewise linear function of the ...

Algorithms for searching equilibrium solutions of the circular restricted fourbody problem for mulated on the basis of the triangular Lagrange solutions of the threebody ...

This paper presents a general shooting method for two-point boundary value problems for ordinary differential equations. The method is applied using Mathematica to the ...

Non-linear numerical analysis of the Leslie-Ericksen (L-E) equations for transient and steady rectilinear simple shear flows is presented for a typical non-aligning rigid-rod ...

In analyzing differential equations, computer algebra or symbolic computation is useful when we want to know the relation between the solutions and the parameters at the ...

Automated algorithms for derivation of amplitude equations in the vicinity of monotonic and Hopf bifurcation manifolds are presented. The implementation is based on ...

For a family of three dimensional systems with center manifolds filled with closed trajectories (corresponding to periodic solutions of the system) we give criteria on the ...

We investigate the planar ninth degree non-analytic Poincare systems which have center-focus equilibriums at the origins. Those systems could be changed into analytic systems ...