### Some articles on *systems, system*:

**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 ... 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 ... imprecision and simple "noise" was considered by chaos theories as a full component of the studied

**systems**...

... 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 ... 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 could be this one ...

... 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 as ... chaotic behavior 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 ecology ... and classical mechanics works in the context of chaotic

**systems**...

... 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 ... 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 ...

### Famous quotes containing the word systems:

“What avails it that you are a Christian, if you are not purer than the heathen, if you deny yourself no more, if you are not more religious? I know of many *systems* of religion esteemed heathenish whose precepts fill the reader with shame, and provoke him to new endeavors, though it be to the performance of rites merely.”

—Henry David Thoreau (1817–1862)

“Our little *systems* have their day;

They have their day and cease to be:

They are but broken lights of thee,

And thou, O Lord, art more than they.”

—Alfred Tennyson (1809–1892)

“No civilization ... would ever have been possible without a framework of stability, to provide the wherein for the flux of change. Foremost among the stabilizing factors, more enduring than customs, manners and traditions, are the legal *systems* that regulate our life in the world and our daily affairs with each other.”

—Hannah Arendt (1906–1975)