Detecting phase transitions in collective behavior using manifold's curvature
If a given behavior of a multi-agent system restricts the phase variable to an invariant manifold, then we define a phase transition as a change of physical characteristics such as speed, coordination, and structure. We define such a phase transition as splitting an underlying manifold into two sub-...
Saved in:
Main Authors: | Kelum Gajamannage, Erik M. Bollt |
---|---|
Format: | Article |
Language: | English |
Published: |
AIMS Press
2017-03-01
|
Series: | Mathematical Biosciences and Engineering |
Subjects: | |
Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2017027 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
On minimal hypersurfaces of nonnegatively Ricci curved manifolds
by: Yoe Itokawa
Published: (1993-01-01) -
Sphere Theorems for <i>σ<sub>k</sub></i>-Einstein Manifolds
by: Jingyang Zhong, et al.
Published: (2025-01-01) -
On conformal transformation of $\Xi$-curvature
by: Narges Panahi, et al.
Published: (2025-02-01) -
SSMM: Semi-supervised manifold method with spatial-spectral self-training and regularized metric constraints for hyperspectral image dimensionality reduction
by: Bei Zhu, et al.
Published: (2025-02-01) -
K-cowaist of manifolds with boundary
by: Bär, Christian, et al.
Published: (2024-11-01)