Proportional-integral control of propagating wave segments in excitable media

Physical Review. E
Hisatoshi KatsumataNaoyuki Hara

Abstract

Numerical simulations are performed to demonstrate that proportional-integral control, one of the most commonly used feedback schemes in control engineering, can stabilize propagating wave segments in excitable media to a desired size. The proportional-integral controller measures the size of a wave segment and applies a spatially uniform signal to the medium. This controller has the following features: difficult trial-and-error adjustment is not necessary, wave segments can be stabilized to different sizes without readjusting the controller, and the wave segment size can be maintained even in media having position-dependent parameters.

References

Sep 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·M Bär, M Eiswirth
Apr 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·I N MotoikeS Nakata
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·I Motoike, K Yoshikawa
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·G V Osipov, J J Collins
May 4, 2002·Science·Tatsunari SakuraiKenneth Showalter
Aug 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Eugene MihaliukKenneth Showalter
Feb 1, 2003·Science·Sergio AlonsoAlexander S Mikhailov
Oct 4, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hong ZhangGang Hu
Aug 25, 2004·Physical Review Letters·S TakagiV Krinsky
Mar 24, 2005·Physical Review Letters·Vladimir S Zykov, Kenneth Showalter
May 21, 2005·Physical Review Letters·Hong ZhangGang Hu
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hidetsugu Sakaguchi, Yusuke Kido
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ya-Qing FuGang Hu
Feb 10, 1995·Science·O SteinbockK Showalter
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Guoning TangGang Hu
Jul 8, 2008·Chaos·Aaron J SteeleKenneth Showalter
Aug 8, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jiang-Xing ChenXiao-Ping Yuan
Nov 13, 2009·Physical Review Letters·A KotheH Engel
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Wenqiong GuoHongli Wang
Oct 3, 2015·Chaos·Kenneth Showalter, Irving R Epstein
Oct 16, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Andrew Adamatzky
Dec 21, 2016·PloS One·Andrew Adamatzky

❮ Previous
Next ❯

Citations


❮ Previous
Next ❯

Related Concepts

Related Feeds

Anxiety Disorders

Discover the latest research on anxiety disorders including agoraphobia, panic disorder, obsessive-compulsive disorder, and post-traumatic stress disorder here.

Related Papers

Annals of Maxillofacial Surgery
George K Sándor
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
E MihaliukKenneth Showalter
© 2022 Meta ULC. All rights reserved