In this paper by using the Poincaré compactification in we make a global analysis of the
Rabinovich system with and. We give the complete description of its dynamics on the sphere …

In this paper, we perform a global analysis of the dynamics of the Chen system where (x, y,
z)∈ ℝ3 and (a, b, c)∈ ℝ3. We give the complete description of its dynamics on the sphere at …

On a Hamiltonian version of a three-dimensional Lotka–Volterra system - ScienceDirect Skip to
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The new existence conditions of homoclinic orbits for the system of ordinary quadratic
differential equations are founded. Further, the realization of these conditions together with …

We consider continuous piecewise linear systems in R 3 with two zones under the
assumption of having a linear center in the invariant manifold of the point at infinity. A …

Persistence of Degenerate Lower Dimensional Invariant Tori in Reversible Systems with Bruno
Non-degeneracy Conditions | Qualitative Theory of Dynamical Systems Skip to main content …

In this work, we establish a new model of one prey and two predators with antipredator
behavior. The basic properties on the positivity and boundedness of solutions and the …

We consider a specific family of three-dimensional differential systems whose vector field is
continuous and piecewise linear, with two regions separated by a plane. After detecting a …

We provide a constructive method to obtain polynomial vector fields in ℝ3 having infinitely
many limit cycles starting from polynomial vector fields in ℝ2 with a period annulus. We …

We consider perturbations of the parallel flows on each invariant sphere x2+ y2+ z2= h (> 0)
by homogeneous polynomials of degree m (⩾ 2), and obtain the least upper bound of the …