Keller G, Jafri HH, Ramaswamy R (2013)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2013
Publisher: American Physical Society
Book Volume: 87
Article Number: 042913
Journal Issue: 4
DOI: 10.1103/PhysRevE.87.042913
Weak generalized synchrony in a drive-response system occurs when the response dynamics is a unique but nondifferentiable function of the drive, in a manner that is similar to the formation of strange nonchaotic attractors in quasiperiodically driven dynamical systems. We consider a chaotically driven monotone map and examine the geometry of the limit set formed in the regime of weak generalized synchronization. The fractal dimension of the set of zeros is studied both analytically and numerically. We further examine the stable and unstable sets formed and measure the regularity of the coupling function. The stability index as well as the dimension spectrum of the equilibrium measure can be computed analytically. DOI: 10.1103/PhysRevE.87.042913
APA:
Keller, G., Jafri, H.H., & Ramaswamy, R. (2013). Nature of weak generalized synchronization in chaotically driven maps. Physical Review E, 87(4). https://dx.doi.org/10.1103/PhysRevE.87.042913
MLA:
Keller, Gerhard, Haider H. Jafri, and R. Ramaswamy. "Nature of weak generalized synchronization in chaotically driven maps." Physical Review E 87.4 (2013).
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