Global phase portrait of a degenerate Bogdanov-Takens system with symmetry
Discrete & Continuous Dynamical Systems - B, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Hebai, Chen, Xingwu, Xie, Jianhua
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Global portraits of inflation in nonsingular variables
European Physical Journal C: Particles and FieldsIn the phase space perspective, scalar field slow roll inflation is described by a heteroclinic orbit from a saddle type fixed point to a final attractive point.
Laur Järv, Dmitri Kraiko
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Global phase portraits of a SIS model [PDF]
Applied Mathematics and Computation, 2013 In the qualitative theory of ordinary differential equations, we can find many papers whose objective is the classification of all the possible topological phase portraits of a given family of differential system. Most of the studies rely on systems with real parameters and the study consists of outlining their phase portraits by finding out some ...
Oliveira, Regilene, Rezende, Alex C.
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Analysis of global terrorism dynamics by means of entropy and state space portrait
Nonlinear Dynamics, 2016 A. Lopes, J. Machado, M. E. Mata
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Global phase-amplitude description of oscillatory dynamics via the parameterization method. [PDF]
Chaos, 2020 In this paper, we use the parameterization method to provide a complete description of the dynamics of an n-dimensional oscillator beyond the classical phase reduction.
Alberto Pérez-Cervera +2 more
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GLOBAL PHASE PORTRAITS OF SOME REVERSIBLE CUBIC CENTERS WITH NONCOLLINEAR SINGULARITIES [PDF]
International Journal of Bifurcation and Chaos, 2013 The results in this paper show that the cubic vector fields ẋ = -y + M(x, y) - y(x2+ y2), ẏ = x + N(x, y) + x( x2+ y2), where M, N are quadratic homogeneous polynomials, having simultaneously a center at the origin and at infinity, have at least 61 and at most 68 topologically different phase portraits.
Caubergh, Magdalena, Torregrosa, Joan
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The Mathematical Model and Deep Learning Features Selection for Whorl Fingerprint Classifications
International Journal of Computational Intelligence Systems, 2021 In this paper, different classes of the whorl fingerprint are discussed. A general dynamical system with a parameter θ is created using differential equations to simulate these classes by varying the value of θ.
Ibrahim Jawarneh, Nesreen Alsharman
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Fractional Punishment of Free Riders to Improve Cooperation in Optional Public Good Games
Games, 2021 Improving and maintaining cooperation are fundamental issues for any project to be time-persistent, and sanctioning free riders may be the most applied method to achieve it.
Rocio Botta +2 more
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Darboux polynomials and global phase portraits for the D2 vector field [PDF]
Journal of Mathematical Analysis and Applications, 2019 We study a vector field of R^3 equivariant under the D_2 symmetry group, called "the D_2 field" in the literature. We construct the complete list of Darboux polynomials for it, solving the partial differential equation defining them. We also use these polynomials to comment on its global qualitative behaviour.
Katsios, Kostas, Anastassiou, Stavros
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Global phase portraits of the key pitchfork bifurcation [PDF]
SCIENTIA SINICA Mathematica, 2019 This paper deals with the following quadratic polynomial differential system$\frac{dx}{dt}=y^{2}-y-x,$ $\frac{dy}{dt}=x^{2}$ $-\,~\mu~x-y,$with parameter $\mu\in\mathbb{R}$, which is the key example for studying the pitchfork bifurcation of a singular point. We classify the global phase portraits in the Poincare disc of this system when $\mu$ varies.
Jaume, Llibre, Shimin, Li
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