Chaos as an intermittently forced linear system
University of Washington · Bellevue Hospital Center · +2 more institutions
Abstract
Understanding the interplay of order and disorder in chaos is a central challenge in modern quantitative science. Approximate linear representations of nonlinear dynamics have long been sought, driving considerable interest in Koopman theory. We present a universal, data-driven decomposition of chaos as an intermittently forced linear system. This work combines delay embedding and Koopman theory to decompose chaotic dynamics into a linear model in the leading delay coordinates with forcing by low-energy delay coordinates; this is called the Hankel alternative view of Koopman (HAVOK) analysis. This analysis is applied to the Lorenz system and real-world examples including Earth's magnetic field reversal and…
Citation impact
- FWCI
- 28.63
- Percentile
- 100%
- References
- 97
Authors
5Topics & keywords
- Phase space
- Forcing (mathematics)
- Chaotic
- Statistical physics
- Nonlinear system
- Linear system
- Computer science
- Mathematics