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dynamical systems
Also known as: dynamical systems, dynamical system
Facts (10)
Sources
The New Field of Network Physiology: Building the Human ... frontiersin.org 4 facts
claimNetwork Physiology researchers intend to develop mathematical and computational methods to address the complexity of physiological systems and investigate emerging global behaviors in networks of dynamical systems.
claimThe development of new techniques for physiological data analysis and network models of dynamical systems with time-dependent interactions is expected to impact applied mathematics, computer science, data science, and network theory.
referenceRecent nonlinear methods proposed to infer interactions between pairs of dynamical systems include phase synchronization, coherence, complex wavelets, mutual information, transfer entropy, and Granger causality.
claimThe field of Network Physiology explores emerging cooperative phenomena and critical states in networks of diverse dynamical systems with nonlinear and time-varying interactions.
Consciousness in Artificial Intelligence? A Framework for Classifying ... arxiv.org Nov 20, 2025 2 facts
claimMarian Pour-El and Ian Richards demonstrated that exact solutions to differential equations for certain dynamical systems are strictly non-computable by discrete systems.
claimThe Landgrebe-Smith argument posits that the intractability of dynamical systems implies that consciousness is not computable.
Understanding LLM Understanding skywritingspress.ca Jun 14, 2024 1 fact
claimBiological self-organization is an inevitable emergent property of any dynamical system.
A virtual clinical trial of psychedelics to treat patients with disorders ... eurekalert.org Nov 24, 2025 1 fact
quoteNaji Alnagger, a PhD candidate of the Coma Science Group, stated: "In order to understand any dynamical system, in this case the brain, it’s often useful to perturb it. Imagine if you want to understand how viscous a liquid is, in other words, its dynamics, you could poke it. By observing how it reacts to the perturbation, how long it takes to return to baseline and the degree it is disturbed could reveal a lot of information as to the viscosity. The same is true here, observing how the model reacts after introducing an artificial perturbation can tell us about the nature of dynamics of the brain activity."
A Hilbertian approach to biological problems | PLOS Complex ... journals.plos.org Nov 5, 2024 1 fact
claimMachine learning methods can be integrated with physical principles to create models capable of deciphering complex dynamical systems from noisy and incomplete data.
Track: Poster Session 3 - aistats 2026 virtual.aistats.org 1 fact
claimPetar Bevanda, Max Beier, Alexandre Capone, Stefan Sosnowski, Sandra Hirche, and Armin Lederer proposed a family of Gaussian processes for dynamical systems with linear time-invariant responses that are nonlinear only in initial conditions, which allows for tractable quantification of forecasting and representational uncertainty.