| Description: | [DPS Seminar] Dr. Sishu Shankar Muni (IISER, Kolkata) -- From Homoclinic Tangencies to Stable Periodic Solutions |
| Date: | Wednesday, Jun 29, 2022 |
| Time: | 3 p.m. - 4:30 p.m. |
| Venue: | Meghnad Saha Lecture Theatre |
| Details: | The attractors of a dynamical system govern its typical long time behavior. The presence of many attractors is an exotic phenomenon and occurs in diverse applications. Periodic orbit is one such example of an attractor. Since 1970 researchers have shown that there exists a sequence of single-round periodic solutions near the homoclinic tangency, but generically all of them are unstable. In this talk, I will discuss a special homoclinic tangency known as "globally resonant homoclinic tangencies" that allows us to have infinitely many stable single-round periodic solutions. It is found that the phenomenon of infinite coexistence of stable single-round periodic solutions is codimension-three in the orientation-reversing case while it is codimension-four in the orientation-preserving case. I will then illustrate this phenomenon by giving a minimal example. |
| Calendar: | Seminar Calendar (entered by rajni) |