Results 21 to 30 of about 213,155 (287)
Global phase portraits of a SIS model [PDF]
Applied Mathematics and Computation, 2013 In the qualitative theory of ordinary differential equations, we can find many papers whose objective is the classification of all the possible topological phase portraits of a given family of differential system. Most of the studies rely on systems with real parameters and the study consists of outlining their phase portraits by finding out some ...
Oliveira, Regilene, Rezende, Alex C.
openaire +4 more sources
Phase Portraits of the Leslie-Gower System
Acta Mathematica Scientia, 2022 In this paper we characterize the phase portraits of the Leslie-Gower model for competition among species. We give the complete description of their phase portraits in the Poincaré disc (i.e., in the compactification of R adding the circle S of the infinity) modulo topological equivalence. It is well-known that the equilibrium point of the Leslie-Gower
Llibre, Jaume, Valls, Claudia
openaire +2 more sources
Phase portraits of the Higgins–Selkov system
Discrete & Continuous Dynamical Systems - B, 2022 <p style='text-indent:20px;'>In this paper we study the dynamics of the Higgins–Selkov system</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{equation*} \dot{x} = 1-xy^\gamma, \quad\dot{y} = \alpha y(xy^{\gamma -1}-1), \end{equation*} $\end{document} </tex-math ...
Llibre, Jaume, Mousavi, Marzieh
openaire +5 more sources
Applied Sciences, 2020 The gait of transfemoral amputees can be made smoother by adjusting the inter-joint coordination of both lower limbs. In this study, we compared the inter-joint coordination of the amputated and non-amputated limbs of unilateral amputees to able-bodied ...
Zhi Xu +6 more
doaj +1 more source
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. We show that stable and unstable fixed points of the convective field correspond to maxima and minima of the stationary probability distribution if the probability current ...
Marc Mendler +2 more
openaire +5 more sources
Physics of brain dynamics: Fokker-Planck analysis reveals changes in EEG delta-theta interactions in anaesthesia [PDF]
, 2009 We use drift and diffusion coefficients to reveal interactions between different oscillatory processes underlying a complex signal and apply the method to EEG delta and theta frequencies in the brain.
A Bahraminasab +12 more
core +1 more source
Unfolding the Phase Space Structure of Noisy Time Series by means of Angular First-Return Maps
Discrete Dynamics in Nature and Society, 2015 A new approach which uses the joint probability matrix computation of noisy time series is proposed to construct a phase space portrait which reflects the orbit visitation frequency of the different regions of the phase space.
Javier Villa Briongos +3 more
doaj +1 more source
PRECISE PHASE PORTRAIT CONSTRUCTION FOR AN INVERTED PENDULUM USING CUBIC BEZIER CURVES
Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi, 2020 A cubic Bezier curve formulation is used for generating phase portrait of an inverted pendulum system. Assuming that the cart and pendulum masses, pendulum length, and friction coefficient values in the inverted pendulum model are unknown ...
Gökhan DINDIŞ +1 more
doaj +1 more source
Colored noise influence on the system evolution
, 2001 We present a picture of phase transitions of the system with colored multiplicative noise. Considering the noise amplitude as the power-law dependence of the stochastic variable $x^a$ we show the way to phase transitions disorder-order and order-disorder.
Kharchenko, D. O., Kokhan, S.
core +2 more sources
Some new trajectory patterns and periodic behaviors of unstable second-order digital filter with two’s complement arithmetic [PDF]
, 2003 This letter shows some counter-intuitive simulation results that for some filter parameters in the extended boundaries of the stability triangle, the state vector will converge to a periodic orbit after some iterations, no matter what the initial ...
Wing-Kuen Ling, Kwong-Shum Tam, Yu X.
core +1 more source