Universal scaling laws of symmetry breaking in Floquet systems: application to harmonic generation

Author(s):  
Matan Even Tzur ◽  
Ofer Neufeld ◽  
Avner Fleischer ◽  
Oren Cohen
1994 ◽  
Vol 242 (4-6) ◽  
pp. 355-361
Author(s):  
Georges Ripka ◽  
Martine Jaminon

2002 ◽  
Vol 47 (3) ◽  
pp. 181-183 ◽  
Author(s):  
A. A. Koronovskii ◽  
D. I. Trubetskov ◽  
A. E. Khramov ◽  
A. E. Khramova

2013 ◽  
Vol 87 (23) ◽  
Author(s):  
Jérémy Butet ◽  
Isabelle Russier-Antoine ◽  
Christian Jonin ◽  
Noëlle Lascoux ◽  
Emmanuel Benichou ◽  
...  

2021 ◽  
Vol 118 (8) ◽  
pp. e2013801118
Author(s):  
Amit Nagarkar ◽  
Won-Kyu Lee ◽  
Daniel J. Preston ◽  
Markus P. Nemitz ◽  
Nan-Nan Deng ◽  
...  

Locomotion of an organism interacting with an environment is the consequence of a symmetry-breaking action in space-time. Here we show a minimal instantiation of this principle using a thin circular sheet, actuated symmetrically by a pneumatic source, using pressure to change shape nonlinearly via a spontaneous buckling instability. This leads to a polarized, bilaterally symmetric cone that can walk on land and swim in water. In either mode of locomotion, the emergence of shape asymmetry in the sheet leads to an asymmetric interaction with the environment that generates movement––via anisotropic friction on land, and via directed inertial forces in water. Scaling laws for the speed of the sheet of the actuator as a function of its size, shape, and the frequency of actuation are consistent with our observations. The presence of easily controllable reversible modes of buckling deformation further allows for a change in the direction of locomotion in open arenas and the ability to squeeze through confined environments––both of which we demonstrate using simple experiments. Our simple approach of harnessing elastic instabilities in soft structures to drive locomotion enables the design of novel shape-changing robots and other bioinspired machines at multiple scales.


1996 ◽  
Vol 53 (8) ◽  
pp. 4367-4376 ◽  
Author(s):  
A. Mathy ◽  
K. Ueberhofen ◽  
R. Schenk ◽  
H. Gregorius ◽  
R. Garay ◽  
...  

2019 ◽  
Vol 9 (3) ◽  
Author(s):  
Ofer Neufeld ◽  
David Ayuso ◽  
Piero Decleva ◽  
Misha Y. Ivanov ◽  
Olga Smirnova ◽  
...  

2019 ◽  
Vol 29 (36) ◽  
pp. 1901266 ◽  
Author(s):  
Gitanjali Kolhatkar ◽  
Mischa Nicklaus ◽  
Azza Hadj Youssef ◽  
Cristian Cojocaru ◽  
Maxime Rivard ◽  
...  

2019 ◽  
Vol 5 (1) ◽  
pp. eaau0149 ◽  
Author(s):  
Hyunju Kim ◽  
Harrison B. Smith ◽  
Cole Mathis ◽  
Jason Raymond ◽  
Sara I. Walker

The application of network science to biology has advanced our understanding of the metabolism of individual organisms and the organization of ecosystems but has scarcely been applied to life at a planetary scale. To characterize planetary-scale biochemistry, we constructed biochemical networks using a global database of 28,146 annotated genomes and metagenomes and 8658 cataloged biochemical reactions. We uncover scaling laws governing biochemical diversity and network structure shared across levels of organization from individuals to ecosystems, to the biosphere as a whole. Comparing real biochemical reaction networks to random reaction networks reveals that the observed biological scaling is not a product of chemistry alone but instead emerges due to the particular structure of selected reactions commonly participating in living processes. We show that the topology of biochemical networks for the three domains of life is quantitatively distinguishable, with >80% accuracy in predicting evolutionary domain based on biochemical network size and average topology. Together, our results point to a deeper level of organization in biochemical networks than what has been understood so far.


2015 ◽  
Vol 32 (1) ◽  
Author(s):  
Ricard V. Solé ◽  
Luís F. Seoane

AbstractHuman language defines the most complex outcomes of evolution. The emergence of such an elaborated form of communication allowed humans to create extremely structured societies and manage symbols at different levels including, among others, semantics. All linguistic levels have to deal with an astronomic combinatorial potential that stems from the recursive nature of languages. This recursiveness is indeed a key defining trait. However, not all words are equally combined nor frequent. In breaking the symmetry between less and more often used and between less and more meaning-bearing units, universal scaling laws arise. Such laws, common to all human languages, appear on different stages from word inventories to networks of interacting words. Among these seemingly universal traits exhibited by language networks, ambiguity appears to be a specially relevant component. Ambiguity is avoided in most computational approaches to language processing, and yet it seems to be a crucial element of language architecture. Here we review the evidence both from language network architecture and from theoretical reasonings based on a least effort argument. Ambiguity is shown to play an essential role in providing a source of language efficiency, and is likely to be an inevitable byproduct of network growth.


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