Abstract
A simple and instantaneous phase definition is proposed for the study of discrete maps by taking the change of chaotic signal at each iteration time as a vector. With such a definition, an exact phase can be calculated at any iteration time for any scalar signal or two-dimensional vector of interest. As examples, the phase synchronization behavior is discussed for a two-dimensional globally coupled map lattice and a one-way coupled map lattice.
| Original language | English |
|---|---|
| Pages (from-to) | 2559-2562 |
| Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
| Volume | 61 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Mar 2000 |
Publisher's Copyright Statement
- COPYRIGHT TERMS OF DEPOSITED FINAL PUBLISHED VERSION FILE: Chen, J. Y., Wong, K. W., Chen, Z. X., Xu, S. C., & Shuai, J. W. (2000). Phase synchronization in discrete chaotic systems. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 61(3), 2559-2562. https://doi.org/10.1103/PhysRevE.61.2559. The copyright of this article is owned by American Physical Society.
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