The past 40 years have witnessed extensive research on fractal structure and scale-free
dynamics in the brain. Although considerable progress has been made, a comprehensive …

Collective decision making is the ability of individuals to jointly make a decision without any
centralized leadership, but only relying on local interactions. A special case is represented …

A general fractional scale derivative is introduced and studied. Its relation with the
Hadamard derivatives is established and reformulated. A new derivative similar to the …

An examination of how scientists deliberately and justifiably use pervasive distortions of
relevant features to explain and understand natural phenomena. A fundamental rule of logic …

General fractional calculus (GFC) of operators that is defined through the Mellin convolution
instead of Laplace convolution is proposed. This calculus of Mellin convolution operators …

How groups of cooperative foragers can achieve efficient and robust collective foraging is of
interest both to biologists studying social insects and engineers designing swarm robotics …

Efficient random searches are essential to the survival of foragers searching for sparsely
distributed targets. Lévy walks have been found to optimize the search over a wide range of …

This paper considers several aspects of the relationship between size, structure, speed of
propagation and the number of autonomous cognitive agents in a neural network. While …

Self-organized critical dynamics is assumed to be an attractive mode of functioning for
several real-life systems and entails an emergent activity in which the extent of observables …

Decentralised systems composed of a large number of locally interacting agents often rely
on coherent behaviour to execute coordinated tasks. Agents cooperate to reach a coherent …