Spiral waves within a bistability parameter region of an excitable medium
Spiral waves are a well-known and intensively studied dynamic phenomenon in excitable media of various types. Most studies have considered an excitable medium with a single stable resting state. However, spiral waves can be maintained in an excitable medium with bistability. Our calculations, perfor...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2022-01-01
|
| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ac47ca |
| _version_ | 1797748609812267008 |
|---|---|
| author | V S Zykov E Bodenschatz |
| author_facet | V S Zykov E Bodenschatz |
| author_sort | V S Zykov |
| collection | DOAJ |
| description | Spiral waves are a well-known and intensively studied dynamic phenomenon in excitable media of various types. Most studies have considered an excitable medium with a single stable resting state. However, spiral waves can be maintained in an excitable medium with bistability. Our calculations, performed using the widely used Barkley model, clearly show that spiral waves in the bistability region exhibit unique properties. For example, a spiral wave can either rotate around a core that is in an unexcited state, or the tip of the spiral wave describes a circular trajectory located inside an excited region. The boundaries of the parameter regions with positive and ‘negative’ cores have been defined numerically and analytically evaluated. It is also shown that the creation of a positive or ‘negative’ core may depend on the initial conditions, which leads to hysteresis of spiral waves. In addition, the influence of gradient flow on the dynamics of the spiral wave, which is related to the tension of the scroll wave filaments in a three-dimensional medium, is studied. |
| first_indexed | 2024-03-12T16:07:16Z |
| format | Article |
| id | doaj.art-22c8076568c149308a08ba0e1dce0607 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:07:16Z |
| publishDate | 2022-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-22c8076568c149308a08ba0e1dce06072023-08-09T14:16:57ZengIOP PublishingNew Journal of Physics1367-26302022-01-0124101303610.1088/1367-2630/ac47caSpiral waves within a bistability parameter region of an excitable mediumV S Zykov0E Bodenschatz1https://orcid.org/0000-0002-2901-0144Max Planck Institute for Dynamics and Self-Organization , D-37 077 Goettingen, GermanyMax Planck Institute for Dynamics and Self-Organization , D-37 077 Goettingen, Germany; Institute for Dynamics of Complex Systems, University of Goettingen , D-37 073 Goettingen, Germany; Laboratory of Atomic and Solid-State Physics and Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, New York 14853, United States of AmericaSpiral waves are a well-known and intensively studied dynamic phenomenon in excitable media of various types. Most studies have considered an excitable medium with a single stable resting state. However, spiral waves can be maintained in an excitable medium with bistability. Our calculations, performed using the widely used Barkley model, clearly show that spiral waves in the bistability region exhibit unique properties. For example, a spiral wave can either rotate around a core that is in an unexcited state, or the tip of the spiral wave describes a circular trajectory located inside an excited region. The boundaries of the parameter regions with positive and ‘negative’ cores have been defined numerically and analytically evaluated. It is also shown that the creation of a positive or ‘negative’ core may depend on the initial conditions, which leads to hysteresis of spiral waves. In addition, the influence of gradient flow on the dynamics of the spiral wave, which is related to the tension of the scroll wave filaments in a three-dimensional medium, is studied.https://doi.org/10.1088/1367-2630/ac47caspiral wavesexcitable mediabistability |
| spellingShingle | V S Zykov E Bodenschatz Spiral waves within a bistability parameter region of an excitable medium New Journal of Physics spiral waves excitable media bistability |
| title | Spiral waves within a bistability parameter region of an excitable medium |
| title_full | Spiral waves within a bistability parameter region of an excitable medium |
| title_fullStr | Spiral waves within a bistability parameter region of an excitable medium |
| title_full_unstemmed | Spiral waves within a bistability parameter region of an excitable medium |
| title_short | Spiral waves within a bistability parameter region of an excitable medium |
| title_sort | spiral waves within a bistability parameter region of an excitable medium |
| topic | spiral waves excitable media bistability |
| url | https://doi.org/10.1088/1367-2630/ac47ca |
| work_keys_str_mv | AT vszykov spiralwaveswithinabistabilityparameterregionofanexcitablemedium AT ebodenschatz spiralwaveswithinabistabilityparameterregionofanexcitablemedium |