phase portrait

[/feɪz ˈpɔːrtrət/]
nounpl: phase portraits
retrato de fase
1. A graphical representation of the trajectories of a dynamical system in phase space, showing how the state of a system evolves over time
The phase portrait of the pendulum system shows periodic orbits around the equilibrium point.
O retrato de fase do sistema de pêndulo mostra órbitas periódicas ao redor do ponto de equilíbrio.
2. In mathematics and physics, a plot in a multidimensional space where each axis represents a variable of the system, used to visualize the behavior of nonlinear systems
By analyzing the phase portrait, scientists can identify stable and unstable equilibrium points.
Ao analisar o retrato de fase, os cientistas podem identificar pontos de equilíbrio estáveis e instáveis.
This is a specialized mathematical and scientific term primarily used in academic contexts, particularly in physics, mathematics, and engineering departments. It is not part of everyday vocabulary but is essential in chaos theory, nonlinear dynamics, and control systems studies. The term is uniformly used across English and Portuguese-speaking academic communities with the same conceptual meaning.
Synonyms / Sinônimos
state space diagramtrajectory plotphase diagramstate portrait

Regional Variations

General Brazilian
retrato de fase
Standard term used in academic and scientific contexts across Brazil
São Paulo
retrato de fase
Common in universities and research institutions
Portugal
retrato de fase
Same terminology used in Portuguese academic literature
Technical English
diagrama de fase
Alternative but less precise translation sometimes used

Related Words

phase spacedynamical systemtrajectoryequilibrium pointattractorbifurcation
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