Results 21 to 30 of about 338,760 (281)

Global phase portraits of the generalized van der Pol systems

Bulletin des Sciences Mathématiques, 2023
We consider the generalized van der Pol systems x˙ = y, y˙ = -x + (1-x) f(y), where f ∈ R[y]. The classical van der Pol systems have f(y) = y. We first characterize when the origin of the generalized van der Pol systems is a center, and second we provide the global phase portraits in the Poincaré disc of the generalized van der Pol when f(y) = ay + ay ...
Jaume Llibre, Claudia Valls
openaire   +4 more sources

MATHEMATICAL MODELING OF INFORMATION CONFRONTATION

St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2021
The article continues the study of the previously constructed mathematical model of distributing new information in the society. The model is a system of four ordinary differential equations with quadratic nonlinearity in the right parts. The study helps
Timofeev Sergey, Baenkhaeva Ayuna
doaj   +1 more source

Degenerate Bogdanov–Takens bifurcations in a bulk viscous cosmology

European Physical Journal C: Particles and Fields, 2020
Using the dynamical system theory we show that the Friedmann–Robertson–Walker (FRW) cosmological model with bulk viscous fluid in the presence of cosmological constant is equivalent to a degenerate two dimensional Bogdanov–Takens normal form.
Asmaa Abdel Azim, Adel Awad, E. I. Lashin   +2 more
doaj   +1 more source

Global Stability Analysis for Synchronous Reference Frame Phase-Locked Loops

IEEE transactions on industrial electronics (1982. Print), 2021
This article analyzes the global stability of synchronous reference frame phase-locked loops (SRF-PLLs) from a large signal viewpoint. First, a large-signal model of SRF-PLL is accurately established, without applying any linearization method.
Zhiyong Dai, Guangqi Li, Mingdi Fan, Jin Huang, Yong Yang, Wei Hang   +5 more
semanticscholar   +1 more source

An augmented phase plane approach for discrete planar maps: Introducing next-iterate operators [PDF]

Mathematical Biosciences, 2022
The next-iterate operators and corresponding next-iterate root-sets and root-curves associated with the nullclines of a planar discrete map are introduced.
Sabrina H. Streipert, G. Wolkowicz
semanticscholar   +1 more source

Time-Optimal Problem in the Roto-Translation Group with Admissible Control in a Circular Sector

Mathematics, 2023
We study a time-optimal problem in the roto-translation group with admissible control in a circular sector. The problem reveals the trajectories of a car model that can move forward on a plane and turn with a given minimum turning radius.
Alexey Mashtakov, Yuri Sachkov
doaj   +1 more source

Singular points and limit cycles of the generalized Kukles polynomial differential system

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2022
Background. Searching of numbers of Poincare limit cycles of polynomial dynamic systems belongs to second part of the 16th Gilbert problem, which is not solved in general.
I.N. Mal'kov, V.V. Machulis
doaj   +1 more source

Chromomagnetic Catalysis of Color Superconductivity in a (2+1)-dimensional NJL Model [PDF]

, 2000
The influence of a constant uniform external chromomagnetic field $H$ on the formation of color superconductivity has been investigated. The consideration was performed in the framework of a (2+1)-dimensional Nambu--Jona-Lasinio model with two different ...
A. Cabo, A. Chodos, A. Chodos, A. P. Prudnikov, A. S. Vshivtsev, A. V. Averin, A. V. Smilga, A. V. Smilga, B. Rosenstein, D. Bailin, D. Ebert, D. Ebert, D. Ebert, D. Ebert, D. Ebert, D. Ebert, D. Ebert, D. Ebert, D. Ebert, D. K. Hong, D. T. Son, E. Babaev, E. T. Whittaker, F. Gürsey, G. W. Semenoff, G. W. Semenoff, G. W. Semenoff, H. B. Nielsen, H. B. Nielsen, H. Bateman, H. Mishra, H. Toki, I. A. Shovkovy, I. A. Shovkovy, I. V. Krive, J. B. Kogut, J. Berges, K. G. Klimenko, K. G. Klimenko, K. G. Klimenko, K. G. Klimenko, K. G. Klimenko, K. G. Klimenko, K. Langfeld, K. Suzuki, L. S. Brown, M. A. Vdovichenko, M. Alford, M. Alford, M. Alford, N. Evans, R. D. Pisarsky, R. Mackenzie, R. Rapp, R. Rapp, S. D. H. Hsu, S. G. Matinyan, S. Hands, Sh. S. Agaev, Sh. S. Agaev, T. M. Schwarz, T. Saito, V. Ch. Zhukovsky, V. P. Gusynin, V. P. Gusynin, V. P. Gusynin, V. P. Gusynin, V. P. Gusynin, V. P. Gusynin, V. P. Gusynin, V. V. Vladimirsky, W. Pauli, W. V. Liu, Y. Nambu, Y. Nambu   +74 more
core   +2 more sources

Bifurcation Diagrams and Global Phase Portraits for Some Hamiltonian Systems with Rational Potentials [PDF]

International Journal of Bifurcation and Chaos, 2018
In this paper, we study the global dynamical behavior of the Hamiltonian system [Formula: see text], [Formula: see text] with the rational potential Hamiltonian [Formula: see text], where [Formula: see text] and [Formula: see text] are polynomials of degree 1 or 2.
Ting Chen, Jaume Llibre
openaire   +4 more sources

The point charge oscillator: qualitative and analytical investigations

Mathematical Modelling and Analysis, 2019
We study the mathematical model of the point charge oscillator which has been derived by A. Beléndez et al. [2]. First we determine the global phase portrait of this model in the Poincaré disk.
Klaus R. Schneider
doaj   +1 more source