### 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 ... rounding errors in numerical computation) yield widely diverging outcomes for such dynamical

**systems**, rendering long-term prediction impossible in ... This happens even though these

**systems**are deterministic, meaning that their future behavior is fully determined by their initial conditions, with no random ...

... 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 ...

**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 the initial condition), then so ...

... 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 one another, with a positive Lyapunov exponent ... 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 of the logistic map ... 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 ... in nature 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 ... classical mechanics works in the context of chaotic

**systems**...

### 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)

“In all *systems* of theology the devil figures as a male person.... Yes, it is women who keep the church going.”

—Don Marquis (1878–1937)