Results 31 to 40 of about 6,937,403 (296)
Use of phase portraits of hydro-mechanical units for diagnosing aircraft hydraulic systems
Вестник Самарского университета: Аэрокосмическая техника, технологии и машиностроение, 2018 The article deals with diagnostics of hydraulic systems using phase portraits. A brief review of the existing methods for diagnosing hydraulic units identifying their advantages and disadvantages is given.
A. M. Gareyev, I. A. Popelnyuk
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Vehicle control synthesis using phase portraits of planar dynamics
Vehicle System Dynamics, 2018 Phase portraits provide control system designers strong graphical insight into nonlinear system dynamics. These plots readily display vehicle stability properties and map equilibrium point locations and movement to changing parameters and system inputs ...
Carrie G. Bobier-Tiu +4 more
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Journal of Differential Equations, 2019 This paper provides the classification of the phase portraits in the Poincare disc of all piecewise linear continuous differential systems with two zones separated by a straight line having a unique finite singular point which is a node or a focus.
Shimin Li, J. Llibre
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Stability and Bifurcation Analysis of Fifth-Order Nonlinear Fractional Difference Equation
Fractal and Fractional, 2023 In this paper, a rational difference equation with positive parameters and non-negative conditions is used to determine the presence and direction of the Neimark–Sacker bifurcation.
Abdul Khaliq +6 more
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Self-organization dynamics of charge carrier concentration in semiconductors due to the charge injection [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2023 The purpose of this study is to investigate the phenomenon of self-organization of the dynamics of charge carriers in semiconductor structures. Investigate the basic model, give a numerical estimate for given parameters and propose its modification ...
Elisov, Maksim Viacheslavovich
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A Novel Phase Portrait for Neuronal Excitability
PLoS 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 firing patterns.
Drion, Guillaume +3 more
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bioRxivMuch of the complexity and diversity found in nature is driven by nonlinear phenomena, and this holds true for the brain. Nonlinear dynamics theory has been successfully utilized in explaining brain functions from a biophysics standpoint, and the field ...
Qiang Li, V. Calhoun, T. Pham, A. Iraji
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Chaos Theory and Applications, 2023 In this article, we consider the Generalized Damped Forced Korteweg-de Vries (GDFKdV) equation. The forcing term considered is of the form $F(U)=U(U-v_1)(U-v_2)$, where $v_1$ and $v_2$ are free parameters.
Shruti Tomar, Naresh M. Chadha
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Bifurcations of phase portraits of pendulum with vibrating suspension point [PDF]
Communications in nonlinear science & numerical simulation, 2016 We consider a simple pendulum whose suspension point undergoes fast vibrations in the plane of motion of the pendulum. The averaged over the fast vibrations system is a Hamiltonian system with one degree of freedom depending on two parameters.
A. Neishtadt, K. Sheng
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Phase Portraits of Planar Semi-Homogeneous Vector Fields (III) [PDF]
Qualitative Theory of Dynamical Systems, 1997 The authors study phase-portraits of semi-homogeneous plane vector fields of degrees \(1\) and \(3\), \[ \dot x= ax+ by,\quad \dot y= Ax^3+ Bx^2y+ Cxy^2+ Dy^3,\tag{1} \] with \(|a|+|b|\neq 0\) and \(|A|+|B|+|C|+|D|\neq 0\), and having only finitely many critical points.
Cairó, Laurent, Llibre, Jaume
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