This book explains the quantitative reasoning required by the fractional calculus applied to
complex physical, social, and biological phenomena. Fractional calculus is inextricably …

Recent studies of dyadic interaction have examined phenomena of synchronization,
entrainment, alignment, and convergence. All these forms of behavioral matching have been …

We discuss a renewal process in which successive events are separated by scale-free
waiting time periods. Among other ubiquitous long-time properties, this process exhibits …

Fractal time series have been argued to be ubiquitous in human physiology and some of the
implications of that ubiquity are quite remarkable. One consequence of the omnipresent …

The transdisciplinary nature of science as a whole became evident as the necessity for the
complex nature of phenomena to explain social and life science, along with the physical …

We introduce a form of Self-Organized Criticality (SOC) inspired by the new generation of
evolutionary game theory, which ranges from physiology to sociology. The single individuals …

Since its inception the science of physiology, like many other nonphysical disciplines, has
been guided in its development by the mechanical models of physics. That strategy has …

The complexity matching effect supposes that synchronization between complex systems
could emerge from multiple interactions across multiple scales and has been hypothesized …

We show that the intelligence of a swarm of cooperative units (birds) emerges at criticality,
as an effect of the joint action of frequent organizational collapses and of spatial correlation …

We study the transport of information between two complex systems with similar properties.
Both systems generate non-Poisson renewal fluctuations with a power-law spectrum 1/f 3-μ …