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

... 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 ... as a full component of the studied

**systems**...

... Chaos theory studies the behavior of dynamical

**systems**that are highly sensitive to initial conditions, an effect which is popularly referred to as ... 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 ...

... 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 could be this one ...

**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 ...

... Chaotic behavior has been observed in the laboratory in a variety of

**systems**, including electrical circuits, lasers, oscillating chemical reactions, fluid dynamics, and mechanical and ... 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, the ... between quantum mechanics and classical mechanics works in the context of chaotic

**systems**...

### Famous quotes containing the word systems:

“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)

“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)

“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)