Death by delay

Article Abstract:

Coupled limit-cycle oscillators can push one another to a state of zero amplitude, often known as amplitude death, if their mutual interactions are delayed. The effects of time delay are not often considered, and if delay is included in coupled nonlinear differential equations, difficulties become intimidating. Reddy, Sen and Johnston have simplified certain aspects, by considering a pair of limit cycle oscillators, visualizing the state of the system as a pair of points P and Q moving on a plan. Their experiments show that amplitude death happens in certain islands in the parameter space of coupling strength and delay.

Observations, Differential equations, Nonlinear theories, Delay equations (Differential equations)

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Romanesque networks

Article Abstract:

Fractals are intricately repeated shapes, like the surface of Romanesque broccoli, in which the parts resemble the whole across several levels of resolution. Newly found evidence indicates that many complex networks, from protein-protein interaction maps to the collaboration graph of Hollywood film actors, are 'self-similar' in much the same way.

United States, Science & research, Research, Fractals

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Exploring complex networks

Article Abstract:

Issues are presented concerning the networks which make up diverse structures such as food webs, metabolic networks and wiring diagrams. The unifying features of complex networks are discussed.

Evaluation, Structural stability, Dimensional analysis

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