Results 11 to 20 of about 4,145,213 (292)
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 +9 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 +3 more sources
Alexandria Engineering Journal, 2023 The bifurcation phase portraits and exact nonlinear wave solutions of the modified Konopelchenko-Dubrovsky (KD) equation are studied by using the bifurcation method.
Ming Song, Shenhui Wu
doaj +3 more sources
Global phase portraits of quintic reversible uniform isochronous centers [PDF]
Electronic Journal of Qualitative Theory of Differential EquationsThis paper studies the global phase portraits of uniform isochronous quintic centers at the origin with time reversibility such that their nonlinear part is not homogeneous.
Lina Guo, Aiyong Chen
doaj +2 more sources
Phase Portraits of Families VII and VIII of the Quadratic Systems
Axioms, 2023 The quadratic polynomial differential systems in a plane are the easiest nonlinear differential systems. They have been studied intensively due to their nonlinearity and the large number of applications.
Laurent Cairó, Jaume Llibre
doaj +3 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 Bi-dimensional Zeta Values [PDF]
Mathematical Software – ICMS 2020, 2020 In this extended abstract, we present how to compute and visualize phase portraits of bi-dimensional Zeta Values. Such technology is useful to explore bi-dimensional Zeta Values and in long-term quest to discover a 2D-Riemann hypothesis. To reach this goal, we need two preliminary steps: [Formula: see text] the notion of phase portraits and a general ...
Bouillot O.
openaire +2 more sources
Global phase portraits of a predator–prey system
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We classify the global dynamics of a family of Kolmogorov systems depending on three parameters which has ecological meaning as it modelizes a predator–prey system.
Érika Diz-Pita +2 more
doaj +5 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 +6 more sources
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 +2 more sources