Abstract
We present an extension of a novel method for understanding complex systems, which has been applied to non-equilibrium systems both in and out of detailed balance. For the non-detailed balance case, in which non-zero currents are a principal indicator of complexity, there has been an incomplete understanding of the distance function in the observable representation embedding. To deal with this we construct a new transition matrix by accounting for this current and compute the eigenvalues and eigenvectors. From these, we define a metric whose distance provides a useful measure of the relation among variables. Use of this method provides insights into long-range correlation, and chaotic properties. As an example we show that these distances can be used to control chaos in a simple dynamical system.
Original language | English |
---|---|
Pages (from-to) | 1810-1813 |
Number of pages | 4 |
Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
Volume | 377 |
Issue number | 31-33 |
Early online date | 22 May 2013 |
DOIs | |
Publication status | Published - 30 Oct 2013 |
Externally published | Yes |
Keywords
- Chaos
- Complex systems
- Detailed balance
- Irreversible
- Non-equilibrium
ASJC Scopus subject areas
- Physics and Astronomy(all)