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The Method of Constructing the Phase Portrait of the Object
2019 International Multi-Conference on Industrial Engineering and Modern Technologies (FarEastCon), 2019In article the method of creation of a phase portrait of an object application whom to allow to increase accuracy of definition of dimensional orientation of an object with application of the Global navigation satellite systems is considered.
Sushkin, I. N., D, E Korshunov, R, A Ruf
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Global Phase Portraits of Memristor Oscillators
International Journal of Bifurcation and Chaos, 2014In this paper, the global dynamics of memristor oscillators are investigated. For the sake of analysis, we first reformulate the original system into a simple form, which has only three parameters, and analyze its dynamics according to the variation of the parameters.
Hebai Chen, Xuefang Li
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THE PHASE PORTRAIT OF THE REDUCED EINSTEIN EQUATIONS
International Journal of Modern Physics D, 2001We discuss the phase portrait of the reduced Einstein (3+1)-equations on a compact manifold of Yamabe type -1. We show that the flow for these equations either has a unique fixed point if the underlying manifold M is hyperbolizable or has no fixed points if M is not hyperbolizable. Thus the topology of M is a critical determinant of the phase portrait
Fischer, Arthur E., Moncrief, Vincent
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2001
Consider a dynamical system of two coupled ordinary differential equations (ODEs) of the general structure $$ \dot{x} \equiv \frac{{dx}}{{dt}} = P(x,y),\dot{y} \equiv \frac{{dy}}{{dt}} = Q(x,y) $$ (5.1) where P and Q are known functions of the dependent variables x and y and the independent variable has been taken to be the time t.
Richard H. Enns, George C. McGuire
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Consider a dynamical system of two coupled ordinary differential equations (ODEs) of the general structure $$ \dot{x} \equiv \frac{{dx}}{{dt}} = P(x,y),\dot{y} \equiv \frac{{dy}}{{dt}} = Q(x,y) $$ (5.1) where P and Q are known functions of the dependent variables x and y and the independent variable has been taken to be the time t.
Richard H. Enns, George C. McGuire
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Music Analysis with Phase Portraits
2021Many complications in music theory are derived from the line system for writing musical notes: The intervals of lines are not equal, although the physical intervals of two adjacent lines are equal. Different from such a line system we introduce a method to interpret musical pieces by the dynamical approach of the phase plot.
Kinko Tsuji, Stefan C. Müller
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Conjugate Phase Portraits of Linear Systems
The American Mathematical Monthly, 2008(2008). Conjugate Phase Portraits of Linear Systems. The American Mathematical Monthly: Vol. 115, No. 7, pp. 596-614.
Patrick D. McSwiggen, Kenneth R. Meyer
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Phase Portraits of Quantum Systems
Few-Body Systems, 2013We formulate a general approach to construct phase portraits of a quantum system in the Fock–Bargmann space. This approach is applied to simple model problems and two-cluster nuclei as well.
Yu. A. Lashko +3 more
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Bifurcations of Phase Portraits
2000The situation that we shall be concerned with in this chapter is the following: we consider a differential system that depends on auxiliary parameters (as in Chapt. 5, we may talk about control parameters, hidden parameters, imperfection parameters, … ) and we wish to understand how the phase portrait changes as the parameters vary.
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Phase Portrait of the Matrix Riccati Equation
SIAM Journal on Control and Optimization, 1986The matrix Riccati equations \(dK/dt=B_{21}+B_{22}K-KB_{11}- KB_{12}K\) (where \(K=K(t)\in {\mathbb{R}}^{m\times n}\) is variable and \(B_{12}\in {\mathbb{R}}^{m\times n}\), \(B_{22}\in {\mathbb{R}}^{m\times m}\), \(B_{11}\in {\mathbb{R}}^{n\times n}\), \(B_{12}\in {\mathbb{R}}^{n\times m}\) are constant matrices) and \(dK/dt=-Q-A'K-KA+KLK\) (where \(K=
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Phase portrait in conversation processes
2006Our goal was to extract information on communicative process evolution avoiding simplification and classification. We analysed 50 motivational research interview made from students during their university course. The nature intrinsically interactive of the dialogue concretises, shapes and evolves within time dimension.
G Morgavi, V Florini
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