Phase portrait - Open Access .click

2021
Many 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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Global Phase Portraits of Memristor Oscillators

International Journal of Bifurcation and Chaos, 2014
In 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.
Chen, Hebai, Li, Xuefang
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Phase Portraits of Quantum Systems

Few-Body Systems, 2013
We 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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Phase-Plane Portraits

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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bifurcation
3. good health
limit cycle

medicine
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chaos

poincare disk
bernoulli equation