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Global dynamics in galactic triaxial systems, I
(EDP Sciences, 2006-08)
We present a theoretical analysis of the global dynamics in a triaxial galactic system using a 3D integrable Hamiltonian as a simple representation. We include a thorough discussion on the effect of adding a generic ...
Atratores globais para sistemas dinâmicos impulsivos : uma aproximação pré-compacta
(Programa de Pós-Graduação em MatemáticaCentro de Ciências Exatas, 2021)
Global attractors for impulsive dynamical systems: a precompact approach
(Academic Press/ElsevierSan Diego, 2015-10)
In this work we give the definition of a global attractor of an impulsive dynamical system and obtain several important properties for this class of attractors. We prove the theorem on existence of such attractors and apply ...
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 ...
Monotone measures and almost global stability of dynamical systems
(UR. FING, 2004)
In this work we state the relationships between almost global stability and monotone Borel measures for dynamical systems. We explore some related general results and deduce some particular properties for planar systems ...
DYNAMICS AT INFINITY of A CUBIC CHUA'S SYSTEM
(World Scientific Publ Co Pte Ltd, 2014)
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 ...
Final evolutions of a class of May-Leonard Lotka-Volterra systems
(Taylor & Francis Ltd, 2020-04-02)
We study a particular class of Lotka-Volterra 3-dimensional systems called May-Leonard systems, which depend on two real parameters a and b, when a + b = -1. For these values of the parameters we shall describe its global ...