The brain displays both the anatomical features of a vast amount of interconnected
topological mappings as well as the functional features of a nonlinear, metastable system at …

Brain activity takes place in three spatial-plus time dimensions. This rather obvious claim
has been recently questioned by papers that, taking into account the big data outburst and …

Spatio-temporal brain activities with variable delay detectable in resting-state functional
magnetic resonance imaging (rs-fMRI) give rise to highly reproducible structures, termed …

Contrary to common belief, the brain appears to increase the complexity from the perceived
object to the idea of it. Topological models predict indeed that:(a) increases in …

Brain electric activity exhibits two important features: oscillations with different timescales,
characterized by diverse functional and psychological outcomes, and a temporal power law …

A unifying principle underlies the organization of physical and biological systems. It relates
to a well-known topological theorem which succinctly states that an activity on a planar …

This paper introduces proximal homotopic cycles, which lead to the main results in this
paper, namely, extensions of the Mitsuishi-Yamaguchi Good Coverning Theorem with …

The brain is a system at the edge of chaos equipped with nonlinear dynamics and functional
energetic landscapes. However, still doubts exist concerning the type of attractors or the …

Instead of the conventional 0 and 1 values, bipolar reasoning uses− 1, 0,+ 1 to describe
double-sided judgements in which neutral elements are halfway between positive and …

The nervous activity of the brain takes place in higher-dimensional functional spaces. It has
been proposed that the brain might be equipped with phase spaces characterized by four …