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Determination of Nonchaotic Behavior for Some Classes of Polynomial Jerk Equations
(World Scientific Publ Co Pte Ltd, 2020-06-30)
In this work, by using an algebraic criterion presented by us in an earlier paper, we determine the conditions on the parameters in order to guarantee the nonchaotic behavior for some classes of nonlinear third-order ...
Nonchaotic Behavior in Quadratic Three-Dimensional Differential Systems with a Symmetric Jacobian Matrix
(2018-03-01)
In this paper, we give an algebraic criterion to determine the nonchaotic behavior for polynomial differential systems defined in ℝ3 and, using this result, we give a partial positive answer for the conjecture about the ...
Chaotic and nonchaotic behaviour in the mixmaster dynamics
(1991-07-01)
We show that the mixmaster universe is nonchaotic with respect to the intrinsic time but chaotic with respect to the synchronous time. No appeal to any numerical simulation or other arguments are made, apart from the well ...
Chaotic and nonchaotic behaviour in the mixmaster dynamics
(1991-07-01)
We show that the mixmaster universe is nonchaotic with respect to the intrinsic time but chaotic with respect to the synchronous time. No appeal to any numerical simulation or other arguments are made, apart from the well ...
Determinação de comportamento não caótico de sistemas diferenciais quadráticos em R^3 via superfícies algébricas invariantes
(Universidade Estadual Paulista (Unesp), 2019-04-25)
Neste trabalho, apresentamos uma condição algébrica suficiente para determinar o comportamento não caótico de sistemas diferenciais polinomiais definidos em R^3. Usando essa condição, apresentamos um resultado parcial para ...
Nonchaotic laser pulse dissociation through deformed tori
(2020-02-01)
We consider the nonlinear classical dynamics of a diatomic molecule under the action of a laser field in the framework of the driven Morse oscillator model. We investigate the influence of the dipole function and the laser ...
Discriminating chaotic and stochastic dynamics through the permutation spectrum test
(American Institute Of Physics, 2014-09)
In this paper, we propose a new heuristic symbolic tool for unveiling chaotic and stochastic dynamics: the permutation spectrum test. Several numerical examples allow us to confirm the usefulness of the introduced methodology. ...
Effects of chaos on the detectability of stellar streams
(Wiley Blackwell Publishing, Inc, 2020-03)
Observations show that stellar streams originating in satellite dwarf galaxies are frequent in the Universe. While such events are predicted by theory, it is not clear how many of the streams that are generated are washed ...