Discover how piecewise-linear maps lead to complex behavior and chaos.
― 4 min read
Mathematics - Dynamical Systems
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This study investigates how LoRA fine-tuning influences token clustering in Transformer models.
― 5 min read
This paper investigates the impact of simplicity bias on one-dimensional dynamical systems.
― 6 min read
A look into the relationship between groups, Poincare exponents, and their applications.
― 5 min read
Researchers study calcium oscillations to understand liver cell behavior.
― 7 min read
Examining how traces of operators behave on hyperbolic surfaces.
― 6 min read
Explore how functional differential equations model systems with delays across various fields.
― 6 min read
Examining how early signals can predict crucial system changes.
― 6 min read
Researchers propose innovative methods for deploying Lagrangian drifters to better understand fluid flows.
― 7 min read
Examining the role of signal functions and delays in neural networks.
― 5 min read
Understanding how neutral functional differential equations aid in studying material flow.
― 5 min read
Study of interacting systems reveals insights into complex dynamics.
― 6 min read
A look at linear dynamics, focusing on operators, recurrence, and hypercyclicity.
― 6 min read
Explore unique behaviors of particle systems and their periodic interactions.
― 4 min read
New methods improve data efficiency and error bounds in EDMD.
― 5 min read
This article highlights the significance of complex hyperbolic lattices in mathematics.
― 5 min read
mpbn simplifies analysis of Boolean networks for gene interaction studies.
― 4 min read
Examining how noise influences fluid behavior through Lévy areas and Wong-Zakai anomalies.
― 6 min read
Examining optimal transport and Lax-Oleinik operators for efficient resource movement.
― 5 min read
This study reveals robust tilesets make the domino problem decidable.
― 7 min read
A new framework enhances learning and predictions in chaotic environments.
― 5 min read
This study examines how PCA reveals transitions between dispersive and dissipative systems.
― 6 min read
An in-depth look at Anosov flows and their key properties.
― 6 min read
Explore how fast and slow processes shape population behavior over time.
― 5 min read
Exploring the connections and behaviors of fractions through the Stern-Brocot sequence.
― 8 min read
A new neural network approach improves modeling of fast-slow dynamic systems.
― 6 min read
Exploring the natural dimensions of iterated function systems and their attractors.
― 6 min read
New methods improve our ability to find polynomial roots efficiently.
― 5 min read
Introducing efficient control methods for large-scale systems using distributed observers.
― 6 min read
Exploring the unexpected chaotic behaviors in chemical reactions.
― 6 min read
Explore the fascinating structures and behaviors of Julia sets in complex dynamics.
― 6 min read
A look into resonance's role in controlling particle behavior.
― 5 min read
This article examines the difficulties of adapting deep learning in dynamic environments.
― 8 min read
An overview of methods to study systems with varying particle counts.
― 6 min read
A look at how distributed observers estimate states in various applications.
― 6 min read
TreeDOX offers a simpler approach to predicting chaotic systems using past data.
― 5 min read
A novel approach using machine learning to infer ODEs from imperfect observations.
― 6 min read
A look into periodic orbits in the Sun-Earth-Moon dynamics.
― 6 min read
Exploring the role of defective viral genomes in RNA virus dynamics.
― 5 min read
A look at space debris challenges and solutions for satellite disposal.
― 5 min read
This article discusses limit cycles and the complexities in proving related theorems.
― 4 min read