Results 21 to 30 of about 3,352 (233)
GLOBAL PHASE PORTRAITS OF SOME REVERSIBLE CUBIC CENTERS WITH COLLINEAR OR INFINITELY MANY SINGULARITIES [PDF]
International Journal of Bifurcation and Chaos, 2012 We study the reversible cubic vector fields of the form ẋ = -y + ax2+ bxy + cy2- y(x2+ y2), ẏ = x + dx2+ exy + fy2+ x(x2+ y2), having simultaneously a center at infinity and at the origin. In this paper, the subclass of these reversible systems having collinear or infinitely many singularities are classified with respect to topological equivalence.
Caubergh, M., Llibre, J., Torregrosa, J.
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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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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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The phase portrait of the Hamiltonian system associated to a Pinchuk map
Anais da Academia Brasileira de CiênciasIn this paper we describe the global phase portrait of the Hamiltonian system associated to a Pinchuk map in the Poincaré disc. In particular, we prove that this phase portrait has 15 separatrices, five of them singular points, and 7 canonical regions ...
JOAN CARLES ARTÉS +2 more
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Nonlinear dynamic response and global stability of an air compressor vibration system
Journal of Low Frequency Noise, Vibration and Active Control, 2019 This study proposes a strategy for the vibration isolation mounting of an air compressor to attenuate the vibration near the primary resonance region by using a system with dynamic negative stiffness.
Yuanping Li +3 more
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Model of new information dissemination in society
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2019 Diversification of any new idea, the concept in society both in general and within various classes and social groups often begins with information emergence in media concerning a goal.
Timofeev Sergey, Sukhodolov Alexsander
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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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BMC Genomics, 2007 Background Bordetella bronchiseptica is a bacterial respiratory pathogen that infects a broad range of mammals, causing chronic and often subclinical infections.
Nicholson Tracy L
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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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