Chaotic Systems

Some articles on chaotic systems, system, chaotic, systems:

Types of Complex Systems - Chaotic Systems
... For a dynamical system to be classified as chaotic, it must have the following properties it must be sensitive to initial conditions, it must be topologically mixing, and its periodic orbits must be dense ... Sensitivity to initial conditions means that each point in such a system is arbitrarily closely approximated by other points with significantly different future trajectories ...
Complex Systems Theory - Topics in The Complex Systems Study - Complexity and Chaos Theory
... When one analyzes complex systems, sensitivity to initial conditions, for example, is not an issue as important as within the chaos theory in which it prevails ... can generate some simple behavioral patterns, whereas chaotic behavior, in the sense of deterministic chaos, is the result of a relatively small ... Therefore, the main difference between Chaotic systems and complex systems is their history ...
Topics in The Complex Systems Study - Complexity and Chaos Theory
... When one analyzes complex systems, sensitivity to initial conditions, for example, is not an issue as important as within the chaos theory in which it prevails ... relationships can generate some simple behavioral patterns, whereas chaotic behavior, in the sense of deterministic chaos, is the result of a relatively small number of non-linear interactions ... Therefore, the main difference between Chaotic systems and complex systems is their history ...
Quantum Chaos - Correlating Statistical Descriptions of Quantum Mechanics With Classical Behavior
... measures of quantum chaos were born out of a desire to quantify spectral features of complex systems ... The remarkable result is that the statistical properties of many systems with unknown Hamiltonians can be predicted using random matrices of the proper ... statistical properties of the eigenvalues of many chaotic systems with known Hamiltonians ...

Famous quotes containing the words systems and/or chaotic:

    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)

    Our chaotic economic situation has convinced so many of our young people that there is no room for them. They become uncertain and restless and morbid; they grab at false promises, embrace false gods and judge things by treacherous values. Their insecurity makes them believe that tomorrow doesn’t matter and the ineffectualness of their lives makes them deny the ideals which we of an older generation acknowledged.
    Hortense Odlum (1892–?)