Power laws of complex systems from extreme physical information

Power laws of complex systems from extreme physical information.

Many complex systems obey allometric, or power, laws y=Y x(a) . Here y > or = 0 is the measured value of some system attribute a , Y> or =0 is a constant, and x is a stochastic variable. Remarkably, for many living systems the exponent a is limited to values n/4 , n=0, +/-1, +/-2.... Here x is the mass of a randomly selected creature in the population. These quarter-power laws hold for many att...

Laws of Physical Systems

Perceptions of Complex Systems Are Governed by Power Laws

Many networks in natural and human-made systems exhibit scale-free properties and are small worlds. Now we show that people’s understanding of complex systems in their cognitive maps also follow a scale-free topology. People focus on a few attributes, relating these with many other things in the system. Many more attributes have very few connections. People use relatively short explanations to ...

Physical Systems and Laws

Physical laws in classical physics have are deterministic in nature which implies that any isolated system such as the universe as a whole evolves in a deterministic way so that once we know the state of a system at a time states of the system in future will be uniquely predicted. This turns out to be violated by the uncertainty principle of quantum mechanics on the one hand and the presence of...

OFFPRINT Power-laws in recurrence networks from dynamical systems

Recurrence networks are a novel tool of nonlinear time series analysis allowing the characterisation of higher-order geometric properties of complex dynamical systems based on recurrences in phase space, which are a fundamental concept in classical mechanics. In this letter, we demonstrate that recurrence networks obtained from various deterministic model systems as well as experimental data na...