Results 1 to 10 of about 107,080 (284)
Analysis of stochastic bifurcations with phase portraits. [PDF]
PLoS ONE, 2018 We propose a method to obtain phase portraits for stochastic systems. Starting from the Fokker-Planck equation, we separate the dynamics into a convective and a diffusive part.
Marc Mendler +2 more
doaj +7 more sources
Stratifications and foliations in phase portraits of gene network models [PDF]
Вавиловский журнал генетики и селекции, 2023 Periodic processes of gene network functioning are described with good precision by periodic trajectories (limit cycles) of multidimensional systems of kinetic-type differential equations.
V. P. Golubyatnikov +3 more
doaj +2 more sources
On the n-Dimensional Phase Portraits [PDF]
Applied Sciences, 2019 The phase portrait for dynamic systems is a tool used to graphically determine the instantaneous behavior of its trajectories for a set of initial conditions.
Martín-Antonio Rodríguez-Licea +3 more
doaj +2 more sources
The Method of Direct and Reverse Phase Portraits as a Tool for Systematizing the Results of Studies of Phase Transitions in Solutions of Thermosensitive Polymers [PDF]
GelsIt is shown that a more than significant amount of experimental data obtained in the field of studying systems based on thermosensitive hydrophilic polymers and reflected in the literature over the past decades makes the issue of their systematization ...
Akhat Bakirov +7 more
doaj +2 more sources
Phase portraits of Bernoulli quadratic polynomial differential systems
Electronic Journal of Differential Equations, 2020 In this article we study a new class of quadratic polynomial differential systems. We classify all global phase portraits in the Poincare disk of Bernoulli quadratic polynomial differential systems in R^2.
Jaume Llibre +2 more
doaj +7 more sources
Usage of phase portraits in analysis of doppler signals reflected from drone rotors [PDF]
Радиофизика и электроника, 2020 Subject and Purpose. Comparative analysis of the shapes of phase portraits of Doppler signals (DS) reflected from drone rotating rotors is given with regard to different time delays.
R.E. Pashchenko +2 more
doaj +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In 1998, Artés, Kooij and Llibre proved that there exist 44 structurally stable topologically distinct phase portraits modulo limit cycles, and in 2018 Artés, Llibre and Rezende showed the existence of at least 204 (at most 211) structurally unstable ...
Joan Artés, Marcos Mota, Alex Rezende
doaj +1 more source
Demonstratio Mathematica, 2023 The classification of the phase portraits is one of the classical and difficult problems in the qualitative theory of polynomial differential systems in R2{{\mathbb{R}}}^{2}, particularly for quadratic systems.
Benterki Rebiha, Belfar Ahlam
doaj +1 more source
Mathematics, 2023 The main purpose of this paper is to study the dynamics and embedded solitons of stochastic quadratic and cubic nonlinear susceptibilities in the Itô sense, which can further help researchers understand the propagation of soliton nonlinear systems ...
Zhao Li, Chen Peng
doaj +1 more source
Symmetries in Phase Portrait [PDF]
Symmetry, 2020 We construct polynomial dynamical systems x ′ = P ( x ) with symmetries present in the local phase portrait. This point of view on symmetry yields the approaches to ODEs construction being amenable to classical methods of the Spectral Analysis.
Yakov Krasnov, Umbetkul K. Koylyshov
openaire +1 more source