Some articles on systems, system:
... Chaos theory studies the behavior of dynamical systems that are highly sensitive to initial conditions, an effect which is popularly referred to as the butterfly effect ... to rounding errors in numerical computation) yield widely diverging outcomes for such dynamical systems, rendering long-term prediction impossible in general ... This happens even though these systems are deterministic, meaning that their future behavior is fully determined by their initial conditions, with no random elements involved ...
... Interoperability is the ability of diverse systems and organizations to work together (inter-operate) ... The term is often used in a technical systems engineering sense, or alternatively in a broad sense, taking into account social, political, and organizational factors that impact system to system ... While interoperability was initially defined for IT systems or services and only allows for information to be exchanged (see definition below), a more generic definition ...
... In the system studied, "Hadamard's billiards", Hadamard was able to show that all trajectories are unstable in that all particle trajectories diverge exponentially from ... when it first became evident for some scientists that linear theory, the prevailing system theory at that time, simply could not explain the observed behaviour of certain experiments like that ... and simple "noise" was considered by chaos theories as a full component of the studied systems ...
... has been observed in the laboratory in a variety of systems, including electrical circuits, lasers, oscillating chemical reactions, fluid dynamics, and mechanical and magneto-mechanical devices, as well ... include changes in weather, the dynamics of satellites in the solar system, the time evolution of the magnetic field of celestial bodies, population growth in ecology, the dynamics of the action ... mechanics works in the context of chaotic systems ...
... Linear dynamical systems can be solved in terms of simple functions and the behavior of all orbits classified ... In a linear system the phase space is the N-dimensional Euclidean space, so any point in phase space can be represented by a vector with N numbers ... The analysis of linear systems is possible because they satisfy a superposition principle if u(t) and w(t) satisfy the differential equation for the vector field (but not necessarily ...
Famous quotes containing the word systems:
“What is most original in a man’s nature is often that which is most desperate. Thus new systems are forced on the world by men who simply cannot bear the pain of living with what is. Creators care nothing for their systems except that they be unique. If Hitler had been born in Nazi Germany he wouldn’t have been content to enjoy the atmosphere.”
—Leonard Cohen (b. 1934)
“People stress the violence. That’s the smallest part of it. Football is brutal only from a distance. In the middle of it there’s a calm, a tranquility. The players accept pain. There’s a sense of order even at the end of a running play with bodies stewn everywhere. When the systems interlock, there’s a satisfaction to the game that can’t be duplicated. There’s a harmony.”
—Don Delillo (b. 1926)
“The geometry of landscape and situation seems to create its own systems of time, the sense of a dynamic element which is cinematising the events of the canvas, translating a posture or ceremony into dynamic terms. The greatest movie of the 20th century is the Mona Lisa, just as the greatest novel is Gray’s Anatomy.”
—J.G. (James Graham)