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

... Chaotic behavior 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 ecology ... between quantum mechanics 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 ... 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 ...

... 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**performance ... 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 ...

... 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 ... 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 ... considered by chaos theories as a full component of the studied

**systems**...

**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 ...

### Famous quotes containing the word systems:

“Not out of those, on whom *systems* of education have exhausted their culture, comes the helpful giant to destroy the old or to build the new, but out of unhandselled savage nature, out of terrible Druids and Berserkirs, come at last Alfred and Shakespeare.”

—Ralph Waldo Emerson (1803–1882)

“The only people who treasure *systems* are those whom the whole truth evades, who want to catch it by the tail. A system is just like truth’s tail, but the truth is like a lizard. It will leave the tail in your hand and escape; it knows that it will soon grow another tail.”

—Ivan Sergeevich Turgenev (1818–1883)

“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)