Results 21 to 30 of about 1,614 (256)
GLOBAL PHASE PORTRAITS OF QUADRATIC POLYNOMIAL DIFFERENTIAL SYSTEMS WITH A SEMI-ELEMENTAL TRIPLE NODE [PDF]
International Journal of Bifurcation and Chaos, 2013 Planar quadratic differential systems occur in many areas of applied mathematics. Although more than one thousand papers have been written on these systems, a complete understanding of this family is still missing. Classical problems, and in particular, Hilbert's 16th problem [Hilbert, 1900, 1902], are still open for this family.
JOAN C. ARTÉS +2 more
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Analysis and adaptive control of a novel 3-D conservative no-equilibrium chaotic system
Archives of Control Sciences, 2015 First, this paper announces a seven-term novel 3-D conservative chaotic system with four quadratic nonlinearities. The conservative chaotic systems are characterized by the important property that they are volume conserving.
Vaidyanathan Sundarapandian +1 more
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Voices from the beginning: The early phase of musical historiography in Serbia [PDF]
Muzikologija, 2018 The beginnings of Serbian musical historiography can be traced back to the nineteenth century. The first half of that century is marked by the work of musical amateurs, and later professionals were gradually trained.
Peno Vesna, Vasić Aleksandar
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A novel 3-D jerk chaotic system with three quadratic nonlinearities and its adaptive control
Archives of Control Sciences, 2016 This paper announces an eight-term novel 3-D jerk chaotic system with three quadratic nonlinearities. The phase portraits of the novel jerk chaotic system are displayed and the qualitative properties of the jerk system are described.
Vaidyanathan Sundarapandian
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Classification of Global Phase Portraits of a System of Liénard Type
Journal of Mathematical Analysis and Applications, 1995 This paper concerns a classification of global phase portraits generated by a Liénard differential equation, the two functions of which satisfy conditions called ``deformed mirror symmetry'' for the phase trajectories. These conditions lead to non-dissipative trajectories, for which the authors define separatrices limiting regions of the phase plane ...
Sugie, J., Hara, T.
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Global Phase Portraits of Quadratic Systems with a Complex Ellipse as Invariant Algebraic Curve [PDF]
Acta Mathematica Sinica, English Series, 2017 In this paper we study a new class of quadratic systems and classify all its phase portraits. More precisely, we characterize the class of all quadratic polynomial differential systems in the plane having a complex ellipse x^2 y^2 1=0 as invariant algebraic curve.
Llibre, Jaume, Valls, Clàudia
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Global Phase Portraits for the Kukles Systems of Degree 3 with ℤ2-Reversible Symmetries
International Journal of Bifurcation and Chaos, 2021 We provide the normal forms, the bifurcation diagrams and the global phase portraits on the Poincaré disk of all planar Kukles systems of degree [Formula: see text] with [Formula: see text]-symmetries.
Dias, Fabio Scalco +2 more
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Bifurcation of Limit Cycles by Perturbing a Piecewise Linear Hamiltonian System
Abstract and Applied Analysis, 2013 This paper concerns limit cycle bifurcations by perturbing a piecewise linear Hamiltonian system. We first obtain all phase portraits of the unperturbed system having at least one family of periodic orbits.
Yanqin Xiong, Maoan Han
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Global phase portraits of a degenerate Bogdanov-Takens system with symmetry (Ⅱ)
Discrete & Continuous Dynamical Systems - B, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Hebai, Chen, Xingwu
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Frontiers in Applied Mathematics and Statistics, 2022 Schistosomiasis is a neglected disease affecting almost every region of the world, with its endemicity mainly experience in sub-Saharan Africa. It remains difficult to eradicate due to heterogeneity associated with its transmission mode.
Chinwendu E. Madubueze +4 more
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