Global stability, limit cycles and chaotic behaviors of second order interpolative sigma delta modulators [PDF]
, 2011 It is well known that second order lowpass interpolative sigma delta modulators (SDMs) may suffer from instability and limit cycle problems when the magnitudes of the input signals are at large and at intermediate levels, respectively.
Ho, Yuk-Fan +3 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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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 gravitational instability of FLRW backgrounds - interpreting the dark sectors [PDF]
, 2011 The standard model of cosmology is based on homogeneous-isotropic solutions of Einstein's equations. These solutions are known to be gravitationally unstable to local inhomogeneous perturbations, commonly described as evolving on a background given by ...
Arrowsmith D K +20 more
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Solitons, peakons, and periodic cuspons of a generalized Degasperis-Procesi equation [PDF]
, 2009 We employ the bifurcation theory of planar dynamical systems to investigate the exact travelling wave solutions of a generalized Degasperis-Procesi equation. The implicit expression of smooth soliton solutions is given. The explicit expressions of peaked
Tian, Lixin, Zhou, Jiangbo
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Interaction of two systems with saddle-node bifurcations on invariant circles. I. Foundations and the mutualistic case [PDF]
, 2013 The saddle-node bifurcation on an invariant circle (SNIC) is one of the codimension-one routes to creation or destruction of a periodic orbit in a continuous-time dynamical system.
Baesens, Claude, MacKay, Robert S.
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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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