Listar MAT_Articles por autoría "1792f308-b939-45a4-9dd8-427a458d298b"
Mostrando ítems 1-20 de 20
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A multidimensional dynamical approach to iterative methods with memory
Elsevier (2015-11-15)A dynamical approach on the dynamics of iterative methods with memory for solving nonlinear equations is made. We have designed new methods with memory from Steffensen’ or Traub’s schemes, as well as from a parametric ... -
Behaviour of fixed and critical points of the (α, c) −family of iterative methods
Springer Verlag (2015-01)In this paper we study the dynamical behavior of the (α, c ) -family of itera- tive methods for solving nonlinear equations, when we apply the fixed point operator associated to this family on quadratic polynomials. ... -
Bifurcations in the two imaginary centers problem
Institute of Mathematics of the Academy of Sciences of the Czech Republic (2011)In this paper we show that, for a given value of the energy, there is a bifurcation for the two imaginary centers problem. For this value not only the configuration of the orbits changes but also a change in the topology ...
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Bott Integrable Hamiltonian Systems on S2 x S1
American Institute of Mathematical Sciences (2008)In this paper, we study the topology of Bott integrable Hamiltonian flows on S2 × S1 in terms of some types of periodic orbits, called NMS periodic orbits. The set of these periodic orbits can be identified by means ...
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Bulbs of Period Two in the Family of Chebyshev-Halley Iterative Methods on Quadratic Polynomials
Hindawi (2013)The parameter space associated to the parametric family of Chebyshev-Halley on quadratic polynomials shows a dynamical richness worthy of study. This analysis has been initiated by the authors in previous works. Every value ...
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Chaos in King's iterative family
Elsevier (2013-08)In this paper, the dynamics of King’s family of iterative schemes for solving nonlinear equations is studied. The parameter spaces are presented, showing the complexity of the family. The analysis of the parameter space ...
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Dynamics of a family of Chebyshev-Halley
Elsevier (2013-04-15)In this paper, the dynamics of the Chebyshev–Halley family is studied on quadratic polynomials. A singular set, that we call cat set, appears in the parameter space associated to the family. This set has interesting ...
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Dynamics of a Family of Rational Operators of Arbitrary Degree
Vilnius Gediminas Technical University (2021-05-26). In this paper we analyse the dynamics of a family of rational operators coming from a fourth-order family of root-finding algorithms. We first show that it may be convenient to redefine the parameters to prevent ...
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Dynamics of a multipoint variant of Chebyshev–Halley’s family
Elsevier (2016)In this paper, a complex dynamical study of a parametric Chebyshev–Halley type family of iterative methods on quadratic polynomial is presented. The stability of the fixed points is analyzed in terms of the parameter of ...
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Dynamics of the family of c-iterative methods
Taylor & Francis (2014-02-21)In this paper, the dynamics of the family of c-iterative methods for solving nonlinear equations are studied on quadratic polynomials. A singular parameter space is presented to show the complexity of the family. The ...
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Fat handles and phase portraits of Non Singular Morse-Smale ows on S3 with unknotted saddle orbits.
Advanced Nonlinear Studies Inc. (2014-08)In this paper we build Non-singular Morse-Smale ows on S3 with unknotted and unlinked saddle orbits by identifying fat round handles along their boundaries. This way of building the ows enables to get their phase ...
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Newton method for symmetric quartic polynomial
Elsevier (2016-11)We investigate the parameter plane of the Newton’s method applied to the family of quartic polynomials pa,b(z)=z4+az3+bz2+az+1,pa,b(z)=z4+az3+bz2+az+1, where a and b are real parameters. We divide the parameter plane ...
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NMS Flows on S3 with no Heteroclinic Trajectories Connecting Saddle Orbits
Springer Verlag (2012)In this paper we find topological conditions for the non existence of heteroclinic trajectories connecting saddle orbits in non singular Morse-Smale flows on S 3 . We obtain the non singular Morse-Smale flows that can be ...
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Non equivalence of NMS flows on S3
Matematicky ustav Akademie ved Ceské republiky (2012)We build the flows of non singular Morse-Smale systems on the 3-sphere from its round handle decomposition. We show the existence of flows corresponding to the same link of periodic orbits that are non equivalent. So, the ...
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Period-doubling bifurcations in the family of Chebyshev–Halley-type methods
Taylor & Francis (2013)The choice of a member of a parametric family of iterative methods is not always easy. The family of Chebyshev–Halley schemes is a good example of it. The analysis of bifurcation points of this family allows us to define ...
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Quantitative analysis of competition models
Elsevier (2017)We study a 2-species Lotka–Volterra type differential system, modeling competition between two species and having a coexistence equilibrium in the first quadrant. In case that this equilibrium is of saddle type, its ...
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Stability of King’s family of iterative methods with memory
Elsevier (2017-07)In the literature exist many iterative methods with memory for solving nonlinear equations, the most of them designed in the last years. As they use the information of (at least) the two previous iterates to generate the ...
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Study of a Biparametric Family of Iterative Methods
Hindawi Publishing Corporation (2014-12-24)Thedynamics of a biparametric family for solving nonlinear equations is studied on quadratic polynomials. This biparametric family includes the 𝑐������-iterative methods and the well-known Chebyshev-Halley family.We find ...
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Study of the dynamics of third-order iterative methods on quadratic polynomials
Taylor & Francis (2012)In this paper, we analyse the dynamical behaviour of the operators associated with multi-point interpolation iterative methods and frozen derivative methods, for solving nonlinear equations, applied on second-degree complex ...
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Transversal Intersections of invariant manifolds of NMS Flows on S3
American Institute of Mathematical Sciences (2012)In this paper NMS flows on S 3 with a round handle decomposition made up of connected sum of tori are considered. We describe these flows from the corresponding filtrations and obtain conditions for the existence of ...
