Results 1 to 10 of about 8,893 (260)

A novel phase portrait for neuronal excitability. [PDF]

open access: yesPLoS ONE, 2012
Fifty years ago, FitzHugh introduced a phase portrait that became famous for a twofold reason: it captured in a physiological way the qualitative behavior of Hodgkin-Huxley model and it revealed the power of simple dynamical models to unfold complex ...
Guillaume Drion   +3 more
doaj   +6 more sources

Symmetries in Phase Portrait [PDF]

open access: yesSymmetry, 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, Krasnov Yakov
exaly   +2 more sources

On the n-Dimensional Phase Portraits [PDF]

open access: yesApplied 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

Qualitative analysis and solitary wave solutions of the new extended (3+1)-dimensional Sakovich equation in fluid dynamics [PDF]

open access: yesScientific Reports
This article investigates the qualitative behavior and solitary wave solutions of the extended (3+1)-dimensional Sakovich equation from fluid dynamics. By using a traveling wave transformation, the new extended (3+1)-dimensional Sakovich equation can be ...
Musong Gu, Fanming Liu
doaj   +2 more sources

Phase portraits of Bernoulli quadratic polynomial differential systems

open access: yesElectronic 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

Usage of phase portraits in analysis of doppler signals reflected from drone rotors [PDF]

open access: yesРадиофизика 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

Chaotic pattern, bifurcation, sensitivity and traveling wave solution of the coupled Kundu–Mukherjee–Naskar equation

open access: yesResults in Physics, 2023
In this paper, the coupled Kundu–Mukherjee–Naskar equation is considered, which is usually used to describe the oceanic rogue waves, hole waves and Bragg grating fibers.
Zhao Li, Hanlei Hu
doaj   +1 more source

DYNAMIC OF RIKITAKI’S SYSTEM WITH A FRICTION [PDF]

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2013
The paper presents the results of numerical modeling of phase trajectories of the dynamical system Rikitake. Parameters of system and initial conditions at the case of doubling cascade mode are showen.
I.A. Il’in   +2 more
doaj   +1 more source

Phase Portraits of Hyperbolic Geometry [PDF]

open access: yesThe Mathematical Intelligencer, 2019
Phase plotting is a useful way of visualising functions on complex space. We reinvent the method in the context of hyperbolic geometry, and we use it to plot functions on various representative surfaces for hyperbolic space, illustrating with direct motions in particular. The reinvention is nontrivial, and we discuss the essential features for ensuring
Scott B. Lindstrom, Paul Vrbik
openaire   +4 more sources

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