Complex systems stay stable precisely because they are constantly changing, not despite it.
March 31, 2026
Original Paper
Will a time-varying complex system be stable?
arXiv · 2603.28464
The Takeaway
Standard physics predicts that as systems like brains or ecosystems become more complex, they should naturally become more unstable and collapse. This research demonstrates that when the interactions between parts are allowed to shift over time, it creates a stabilizing effect that lets complexity thrive where it should otherwise crash.
From the abstract
Randomly-assembled dynamical systems are theoretically predicted to be unstable upon crossing a critical threshold of complexity, as first shown by May. Yet, empirical complex systems exhibit remarkable stability, indicating the presence of additional mechanisms playing a stabilizing role. The relation between complexity and stability is typically assessed by assuming fixed interactions, whereas real systems often evolve in intrinsically time-dependent states. To understand how this affects stab