Interplay between random fluctuations and rate dependent phenomena at slow passage to limit-cycle oscillations in a bistable thermoacoustic system

2019 ◽  
Vol 29 (3) ◽  
pp. 031102 ◽  
Author(s):  
Vishnu R. Unni ◽  
E. A. Gopalakrishnan ◽  
K. S. Syamkumar ◽  
R. I. Sujith ◽  
Elena Surovyatkina ◽  
...  
Keyword(s):  
Limit Cycle ◽  
Limit Cycle Oscillations ◽  
Rate Dependent ◽  
Slow Passage ◽  
Random Fluctuations

Converging evidence in support of common dynamical principles for speech and movement coordination

1984 ◽  
Vol 246 (6) ◽  
pp. R928-R935 ◽  
Author(s):  
J. A. Kelso ◽  
B. Tuller
Keyword(s):  
Dynamical System ◽  
Speech Production ◽  
Limit Cycle ◽  
Movement Coordination ◽  
Rate Dependent ◽  
Mode Of Operation ◽  
Periodic Attractors ◽  
Point Attractor ◽  
Production Research ◽  
Dynamical Mode

We suggest that a principled analysis of language and action should begin with an understanding of the rate-dependent, dynamical processes that underlie their implementation. Here we present a summary of our ongoing speech production research, which reveals some striking similarities with other work on limb movements. Four design themes emerge for articulatory systems: 1) they are functionally rather than anatomically specific in the way they work; 2) they exhibit equifinality and in doing so fall under the generic category of a dynamical system called point attractor; 3) across transformations they preserve a relationally invariant topology; and 4) this, combined with their stable cyclic nature, suggests that they can function as nonlinear, limit cycle oscillators (periodic attractors). This brief inventory of regularities, though not mean to be inclusive, hints strongly that speech and other movements share a common, dynamical mode of operation.

Simulation of aircraft-pilot coupling as limit-cycle oscillations

1998 ◽  
Author(s):  
Guofeng Lin ◽  
Edward Lan ◽  
Jay Brandon
Keyword(s):  
Limit Cycle ◽  
Limit Cycle Oscillations

Sensitivity analysis of limit cycle oscillations

2012 ◽  
Vol 231 (8) ◽  
pp. 3228-3245 ◽  
Author(s):  
Joshua A. Krakos ◽  
Qiqi Wang ◽  
Steven R. Hall ◽  
David L. Darmofal
Keyword(s):  
Sensitivity Analysis ◽  
Limit Cycle ◽  
Limit Cycle Oscillations
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