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Bifurcations at infinity, invariant algebraic surfaces, homoclinic and heteroclinic orbits and centers of a new Lorenz-like chaotic system
(2016-04-01)
We present a global dynamical analysis of the following quadratic differential system (Formula presented.) , where (Formula presented.) are the state variables and a, b, d, f, g are real parameters. This system has been ...
Symmetric periodic orbits near a heteroclinic loop in R-3 formed by two singular points, a semistable periodic orbit and their invariant manifolds
(Elsevier Science BvAmsterdamHolanda, 2009)
Integrability and Dynamics of Quadratic Three-Dimensional Differential Systems Having an Invariant Paraboloid
(2016-07-01)
Invariant algebraic surfaces are commonly observed in differential systems arising in mathematical modeling of natural phenomena. In this paper, we study the integrability and dynamics of quadratic polynomial differential ...
Bifurcations Leading to Nonlinear Oscillations in a 3D Piecewise Linear Memristor Oscillator
(World Scientific Publ Co Pte Ltd, 2014-01-01)
In this paper, we make a bifurcation analysis of a mathematical model for an electric circuit formed by the four fundamental electronic elements: one memristor, one capacitor, one inductor and one resistor. The considered ...
On the formation of hidden chaotic attractors and nested invariant tori in the Sprott A system
(2017-04-01)
We consider the well-known Sprott A system, which depends on a single real parameter a and, for a= 1 , was shown to present a hidden chaotic attractor. We study the formation of hidden chaotic attractors as well as the ...
Bifurcations Leading to Nonlinear Oscillations in a 3D Piecewise Linear Memristor Oscillator
(World Scientific Publ Co Pte Ltd, 2014)
Bifurcations Leading to Nonlinear Oscillations in a 3D Piecewise Linear Memristor Oscillator
(World Scientific Publ Co Pte Ltd, 2014)
Heteroclinic bifurcations near Hopf-zero bifurcation in reversible vector fields in R-3
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2005)