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GLOBAL DYNAMICS of THE LORENZ SYSTEM WITH INVARIANT ALGEBRAIC SURFACES
(World Scientific Publ Co Pte Ltd, 2010-10-01)
In this paper by using the Poincare compactification of R(3) we describe the global dynamics of the Lorenz system(x) over dot = s(-x + y), (y) over dot = rx - y - xz, (z) over dot = -bz + xy,having some invariant algebraic ...
GLOBAL DYNAMICS of THE LORENZ SYSTEM WITH INVARIANT ALGEBRAIC SURFACES
(World Scientific Publ Co Pte Ltd, 2010-10-01)
In this paper by using the Poincare compactification of R(3) we describe the global dynamics of the Lorenz system(x) over dot = s(-x + y), (y) over dot = rx - y - xz, (z) over dot = -bz + xy,having some invariant algebraic ...
DYNAMICS AT INFINITY of A CUBIC CHUA'S SYSTEM
(World Scientific Publ Co Pte Ltd, 2011-01-01)
We use the Poincare compactification for a polynomial vector field in R(3) to study the dynamics near and at infinity of the classical Chua's system with a cubic nonlinearity. We give a complete description of the phase ...
DYNAMICS AT INFINITY of A CUBIC CHUA'S SYSTEM
(World Scientific Publ Co Pte Ltd, 2011-01-01)
We use the Poincare compactification for a polynomial vector field in R(3) to study the dynamics near and at infinity of the classical Chua's system with a cubic nonlinearity. We give a complete description of the phase ...
Dynamic systems behaviour analysis and design based on the qualitative theory of differential equations: The Boost power converter case
(TAYLOR AND FRANCIS LTD., 2015-06-03)
This paper uses the qualitative theory of differential equations to analyse/design the dynamic behaviour of control systems. In particular, the Poincaré compactification and the Poincaré - Hopf theorem are used for analysing ...
AN EXTENSION OF THE POINCARÉ COMPACTIFICATION AND A GEOMETRIC INTERPRETATION
(Universidad Católica del Norte, Departamento de Matemáticas, 2003)
DYNAMICS AT INFINITY of A CUBIC CHUA'S SYSTEM
(World Scientific Publ Co Pte Ltd, 2014)
GLOBAL DYNAMICS IN THE POINCARE BALL of THE CHEN SYSTEM HAVING INVARIANT ALGEBRAIC SURFACES
(World Scientific Publ Co Pte Ltd, 2012-06-01)
In this paper, we perform a global analysis of the dynamics of the Chen system(x) over dot = a(y - x), (y) over dot = (c - a)x - xz + cy, (z) over dot = xy - bz,where (x, y, z) is an element of R-3 and (a, b, c) is an ...
Phase portraits of the quadratic polynomial Liénard differential systems
(2020-01-01)
We classify the global phase portraits in the Poincaré disc of the quadratic polynomial Liénard differential systems where (x, y) ϵR 2 are the variables and a,b,c,d,e are real parameters.
Global Phase Portraits for the Kukles Systems of Degree 3 with â.,¤2-Reversible Symmetries
(2021-05-01)
We provide the normal forms, the bifurcation diagrams and the global phase portraits on the Poincaré disk of all planar Kukles systems of degree 3 with Z2-symmetries.