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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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Reversible nilpotent centers with cubic homogeneous nonlinearities [PDF]
, 2016 Agraïments: Slovenian scholarship for the Research Cooperation of Doctoral Students Abroad in Year 2013. The third author is partially supported by a FEDER-UNAB-10-4E-378.We provide 13 non-topological equivalent classes of global phase portraits in the ...
Dukarić, Maša +2 more
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Global phase portraits of uniform isochronous centers with quartic homogeneous polynomial nonlinearities [PDF]
, 2015 Agraïments: The first author is is supported by a Ciência sem Fronteiras-CNPq grant number 201002/ 2012-4. A CAPES grant number 88881.030454/2013-01 from the program CSF-PVEWe classify the global phase portraits in the Poincar\'e disc of the differential
Itikawa, Jackson, Llibre, Jaume
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IEEE Access, 2019 We propose a novel feature fusion based multi-task convolutional neural network (ConvNet) for simultaneous bit-rate and modulation format identification (BR-MFI) and optical performance monitoring (OPM) in heterogeneous fiber-optic networks. The proposed
Xiaojie Fan +8 more
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Journal of Differential Equations, 2016 The authors find all possible phase portraits, up to topological equivalence, of vector fields of the form \(\dot x = H_y\), \(\dot y = -H_x\), where the Hamiltonian has the form \(H = \frac12 y^2 + P(x) / Q(x)\) and \(P\) and \(Q\) are polynomials of degree at most two.
Martínez, Y. P., Vidal, C.
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Dynamical System Approach to Cosmological Models with a Varying Speed of Light [PDF]
, 2002 Methods of dynamical systems have been used to study homogeneous and isotropic cosmological models with a varying speed of light (VSL). We propose two methods of reduction of dynamics to the form of planar Hamiltonian dynamical systems for models with a ...
A. Albrecht +24 more
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Metapopulation Dynamics with Migration and Local Competition [PDF]
, 2002 MSC2000: primary 34D15, 34D23, 92B05; secondary 34K60, 34E13, 92D40.Many patch-based metapopulation models assume that the local population within each patch is at its equilibrium and independent of changes in patch occupancy.
Feng, Zhilan, Yi, Yingfei, Zhu, Huaiping
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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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Geometric flows in Horava-Lifshitz gravity [PDF]
, 2010 We consider instanton solutions of Euclidean Horava-Lifshitz gravity in four dimensions satisfying the detailed balance condition. They are described by geometric flows in three dimensions driven by certain combinations of the Cotton and Ricci tensors as
Bakas, Ioannis +3 more
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Structural stability of the two-fold singularity [PDF]
, 2012 At a two-fold singularity, the velocity vector of a flow switches discontinuously across a codimension one switching manifold, between two directions that both lie tangent to the manifold. Particularly intricate dynamics arises when the local flow curves
Angulo Garcia, David +4 more
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