Deciphering interactions of complex systems that do not satisfy detailed balance

S. B. Nicholson, L. S. Schulman, Eun Jin Kim

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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 languageEnglish
Pages (from-to)1810-1813
Number of pages4
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number31-33
Early online date22 May 2013
Publication statusPublished - 30 Oct 2013
Externally publishedYes


  • Chaos
  • Complex systems
  • Detailed balance
  • Irreversible
  • Non-equilibrium

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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