Syntropy in complex systems: A complement to Shannon's Entropy
<|reference_start|>Syntropy in complex systems: A complement to Shannon's Entropy: This study introduces the syntropy function ($S_N$) and expectancy function ($E_N$), derived from the novel function $\phi$, to provide a refined perspective on complexity, extending beyond conventional entropy analysis. $S_N$ is designed to detect localized coherent events, whereas $E_N$ encapsulates expected system behaviors, offering a comprehensive framework for understanding system dynamics. The manuscript explores essential theorems and properties, underscoring their theoretical and practical implications. Future research will further elucidate their roles, particularly in biological signals and dynamic systems, suggesting a deep interplay between order and chaos.<|reference_end|>
@article{mendez-moreno2024syntropy,
    title={Syntropy in complex systems: A complement to Shannon's Entropy},
    author={Santiago Mendez-Moreno},
    journal={arXiv preprint arXiv:2403.13022},
    year={2024},
    archivePrefix={arXiv},
    eprint={2403.13022},
    primaryClass={cond-mat.stat-mech cs.IT math-ph math.DS math.IT math.MP}
}