Bulletin of the American Physical Society
2023 APS March Meeting
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session M01: Neurodynamical Models of Cognition
8:00 AM–11:00 AM,
Wednesday, March 8, 2023
Room: Room 124
Sponsoring
Units:
GSNP DSOFT DBIO
Chair: Jason Kim, Cornell University
Abstract: M01.00005 : Transitions in Classical Dynamical Systems
9:12 AM–9:24 AM
Presenter:
Negin Moharrami Allafi
(The Graduate Center, CSI, City University of New York)
Authors:
Negin Moharrami Allafi
(The Graduate Center, CSI, City University of New York)
Enrique Pujals
(The Graduate Center, City University of New York)
Vadim Oganesyan
(CUNY, Staten Island)
For the 2-D standard map, we monitored the behavior of the system while transitioning from order to chaos by varying the coupling parameter. For the circle map, aka, climbing sine map, we focused on the properties of trajectories evolving in one cell or the ones transitioning to the neighboring cells for different order parameters. Different trajectories have been exhibiting periodic, chaotic, and diffusion-like behaviors as well as establishing cantor-set structures. We also attempted to engineer specific itineraries to construct confined and running orbits by establishing their cantor-set structure.
Added to that, we implemented numerical methods examining the parameters of both systems including diffusion coefficient, Lyapunov exponent, and rotation number.
Follow Us |
Engage
Become an APS Member |
My APS
Renew Membership |
Information for |
About APSThe American Physical Society (APS) is a non-profit membership organization working to advance the knowledge of physics. |
© 2024 American Physical Society
| All rights reserved | Terms of Use
| Contact Us
Headquarters
1 Physics Ellipse, College Park, MD 20740-3844
(301) 209-3200
Editorial Office
100 Motor Pkwy, Suite 110, Hauppauge, NY 11788
(631) 591-4000
Office of Public Affairs
529 14th St NW, Suite 1050, Washington, D.C. 20045-2001
(202) 662-8700