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Complexities, Volume 1, Issue 1

December 2025 - 7 articles

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Articles (7)

  • Article
  • Open Access
108 Views
16 Pages

Hypergraphs, a generalisation of traditional graphs in which hyperedges may connect more than two vertices, provide a natural framework for modeling higher-order interactions in complex biological systems. In the context of protein complexes, hypergr...

  • Review
  • Open Access
267 Views
16 Pages

The Concept of Homeodynamics in Systems Theory

  • Hugues Petitjean,
  • Serge Finck,
  • Patrick Schmoll and
  • Alexandre Charlet

This review traces the historical evolution, conceptual foundations, and contemporary applications of the term homeodynamics across biological, ecological, cognitive, and social systems. Initially coined in the 19th century but largely forgotten, the...

  • Article
  • Open Access
390 Views
16 Pages

Forecasting Chaotic Dynamics Using a Hybrid System

  • Michele Baia,
  • Franco Bagnoli and
  • Tommaso Matteuzzi

The literature is rich with studies and examples on parameter estimation obtained by analyzing the evolution of chaotic dynamical systems, even when only partial information is available through observations. However, parameter estimation alone does...

  • Article
  • Open Access
219 Views
15 Pages

Extended Gauss Iterative Map: Bistability and Chimera States

  • Derik W. Gryczak,
  • Ervin K. Lenzi and
  • Antonio M. Batista

We investigate an extended Gauss iterative map by incorporating the q-exponential function, a key component of the Tsallis framework. This extension enables us to investigate the non-linear dynamics of the Gauss iterative map across a broader range o...

  • Article
  • Open Access
288 Views
14 Pages

A Particle-Based Model of Endothelial Cell Dynamics in the Extracellular Matrix

  • Kazuma Sakai,
  • Tatsuya Hayashi,
  • Jun Mada and
  • Tetsuji Tokihiro

Branching structures such as vascular networks are representative morphological patterns in living systems, and they often arise from collective cell migration. Angiogenesis, the sprouting of new blood vessels from pre-existing ones, is a fundamental...

  • Review
  • Open Access
4,061 Views
18 Pages

Defining a complex system and evaluating its complexity typically requires an interdisciplinary approach, integrating information theory, signal processing techniques, principles of dynamical systems, algorithm length analysis, and network science. T...

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Complexities - ISSN 3042-6448