2018/06/22 by Korosh Mahmoodi, Mahmoodi, Korosh, Bruce J. West +3
Economics, Econometrics and Finance · Environmental Science · Neuroscience · #Adaptation and Self-Organizing Systems (nlin.AO) #Complex Systems and Time Series Analysis #Ecosystem dynamics and resilience #FOS: Physical sciences #Neural dynamics and brain function
paper · pdf · doi:10.48550/arxiv.1806.08808
openalex publication_date 2018/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Complexity matching characterizes the role of information in interactions between systems and can be traced back to the 1957 Introduction to Cybernetics by Ross Ashby. We argue that complexity can be expressed in terms of crucial events, which are generated by the processes of spontaneous self-organization. Complex processes, ranging from biological to sociological, must satisfy the homeodynamic condition and host crucial events that have recently been shown to drive the information transport between complex systems. We adopt a phenomenological approach, based on the subordination to periodicity that makes it possible to combine homeodynamics and self-organization induced crucial events. The complexity of crucial events is defined by the waiting-time probability density function (PDF) of the intervals between consecutive crucial events, which have an inverse power law (IPL) PDF ψ(τ)∝ 1/(τ)μ with 1