Static and dynamic scaling laws near the symmetry-breaking chaos transition in the double-well potential system

1989 ◽  
Vol 135 (6-7) ◽  
pp. 320-326 ◽  
Author(s):  
Akira Yamaguchi ◽  
Hirokazu Fujisaka ◽  
Masayoshi Inoue
Keyword(s):  
Symmetry Breaking ◽  
Scaling Laws ◽  
Dynamic Scaling ◽  
Potential System ◽  
Double Well Potential

scholarly journals Elastic-instability–enabled locomotion

2021 ◽  
Vol 118 (8) ◽  
pp. e2013801118
Author(s):  
Amit Nagarkar ◽  
Won-Kyu Lee ◽  
Daniel J. Preston ◽  
Markus P. Nemitz ◽  
Nan-Nan Deng ◽  
...  
Keyword(s):  
Symmetry Breaking ◽  
Scaling Laws ◽  
Multiple Scales ◽  
Symmetric Cone ◽  
Simple Approach ◽  
Inertial Forces ◽  
Elastic Instability ◽  
Anisotropic Friction ◽  
Buckling Instability ◽  
Elastic Instabilities

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.

scholarly journals Lab-Scale Experimental Characterization and Dynamic Scaling Assessment for Closed-Loop Crosswind Flight of Airborne Wind Energy Systems

2018 ◽  
Vol 140 (7) ◽  
Author(s):  
Mitchell Cobb ◽  
Nihar Deodhar ◽  
Christopher Vermillion
Keyword(s):  
Wind Energy ◽  
Scaling Laws ◽  
Closed Loop ◽  
Full Scale ◽  
Dynamic Scaling ◽  
Loop Control ◽  
Flow Speeds ◽  
Stationary Operation ◽  
Scale Control ◽  
Scale Behavior

This paper presents the experimental validation and dynamic similarity analysis for a lab-scale version of an airborne wind energy (AWE) system executing closed-loop motion control. Execution of crosswind flight patterns, achieved in this work through the asymmetric motion of three tethers, enables dramatic increases in energy generation compared with stationary operation. Achievement of crosswind flight in the lab-scale experimental framework described herein allows for rapid, inexpensive, and dynamically scalable characterization of new control algorithms without recourse to expensive full-scale prototyping. We first present the experimental setup, then derive dynamic scaling relationships necessary for the lab-scale behavior to match the full-scale behavior. We then validate dynamic equivalence of crosswind flight over a range of different scale models of the Altaeros Buoyant airborne turbine (BAT). This work is the first example of successful lab-scale control and measurement of crosswind motion for an AWE system across a range of flow speeds and system scales. The results demonstrate that crosswind flight can achieve significantly more power production than stationary operation, while also validating dynamic scaling laws under closed-loop control.

Dynamic scaling laws and ϵ-expansion in Bose systems

1974 ◽  
Vol 47 (5) ◽  
pp. 361-362 ◽  
Author(s):  
M. Suzuki ◽  
G. Igarashi
Keyword(s):  
Scaling Laws ◽  
Dynamic Scaling

Determining Dynamic Scaling Laws of Geometrically Distorted Scaled Models of a Cantilever Plate

2016 ◽  
Vol 142 (4) ◽  
pp. 04015108 ◽  
Author(s):  
Zhong Luo ◽  
Yunpeng Zhu ◽  
Xueyan Zhao ◽  
Deyou Wang
Keyword(s):  
Scaling Laws ◽  
Dynamic Scaling ◽  
Cantilever Plate ◽  
Scaled Models

Breakdown of chaos symmetry and intermittency in the double-well potential system

1986 ◽  
Vol 116 (6) ◽  
pp. 257-263 ◽  
Author(s):  
Hiroaki Ishii ◽  
Hirokazu Fujisaka ◽  
Masayoshi Inoue
Keyword(s):  
Potential System ◽  
Double Well Potential

scholarly journals Symmetry breaking and tunneling dynamics of a dipolar Bose–Einstein condensate in a double-well potential

2018 ◽  
Vol 96 (6) ◽  
pp. 622-626 ◽  
Author(s):  
Yuan Sheng Wang ◽  
Ping Long ◽  
Bo Zhang ◽  
Hong Zhang
Keyword(s):  
Symmetry Breaking ◽  
Long Range ◽  
Three Dimensional ◽  
Dipolar Interaction ◽  
Einstein Condensate ◽  
Bose Einstein Condensate ◽  
Symmetry Properties ◽  
Tunneling Dynamics ◽  
Bose Einstein ◽  
Double Well Potential

We investigate the properties of a three-dimensional (3D) dipolar Bose–Einstein condensate (BEC) in a double-well potential (DWP). Symmetry breaking and tunneling dynamics phenomena are demonstrated for 164Dy atoms in the 3D DWP using an effective two-mode model. The results show that the symmetry properties of the dynamics are affected markedly by the long-range nature and anisotropy of the dipolar interaction and the isotropic contact interaction.

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