TY - JOUR
T1 - Heterogeneity-stabilized homogeneous states in driven media
AU - Nicolaou, Zachary G.
AU - Case, Daniel J.
AU - Wee, Ernest B.van der
AU - Driscoll, Michelle M.
AU - Motter, Adilson E.
N1 - Funding Information:
This work was supported by the Complex Dynamics and Systems Program of the Army Research Office (Short-Term Innovative Research Grant No. W911NF-20-1-0173) and a Northwestern W Award. The authors thank P.B. Umbanhowar for providing the VTS mechanical shaker and V. Chandrasekhar and K. Ryan for facilitating the 3D printing of the substrates.
Publisher Copyright:
© 2021, The Author(s).
PY - 2021/12
Y1 - 2021/12
N2 - Understanding the relationship between symmetry breaking, system properties, and instabilities has been a problem of longstanding scientific interest. Symmetry-breaking instabilities underlie the formation of important patterns in driven systems, but there are many instances in which such instabilities are undesirable. Using parametric resonance as a model process, here we show that a range of states that would be destabilized by symmetry-breaking instabilities can be preserved and stabilized by the introduction of suitable system asymmetry. Because symmetric states are spatially homogeneous and asymmetric systems are spatially heterogeneous, we refer to this effect as heterogeneity-stabilized homogeneity. We illustrate this effect theoretically using driven pendulum array models and demonstrate it experimentally using Faraday wave instabilities. Our results have potential implications for the mitigation of instabilities in engineered systems and the emergence of homogeneous states in natural systems with inherent heterogeneities.
AB - Understanding the relationship between symmetry breaking, system properties, and instabilities has been a problem of longstanding scientific interest. Symmetry-breaking instabilities underlie the formation of important patterns in driven systems, but there are many instances in which such instabilities are undesirable. Using parametric resonance as a model process, here we show that a range of states that would be destabilized by symmetry-breaking instabilities can be preserved and stabilized by the introduction of suitable system asymmetry. Because symmetric states are spatially homogeneous and asymmetric systems are spatially heterogeneous, we refer to this effect as heterogeneity-stabilized homogeneity. We illustrate this effect theoretically using driven pendulum array models and demonstrate it experimentally using Faraday wave instabilities. Our results have potential implications for the mitigation of instabilities in engineered systems and the emergence of homogeneous states in natural systems with inherent heterogeneities.
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U2 - 10.1038/s41467-021-24459-0
DO - 10.1038/s41467-021-24459-0
M3 - Article
C2 - 34301925
AN - SCOPUS:85111139016
VL - 12
JO - Nature Communications
JF - Nature Communications
SN - 2041-1723
IS - 1
M1 - 4486
ER -