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On Global Attractors for Non-autonomous Dissipative Differential Equations with Periodic Kick Forces

Student: Mayya Prokhorova

Supervisor: Vladimir V. Chepyzhov

Faculty: Faculty of Mathematics

Educational Programme: Mathematics (Bachelor)

Final Grade: 10

Year of Graduation: 2020

In this work we study dynamical processes determined by non-autonomous equations with periodic kick forces and their global attractors. Kick forces occur when we add the Dirac delta function at integer points in time to the autonomous system. The considered processes are not continuous because of kick forces. The conditions for the system with kick forces to be dissipative are established. The existence of the global attractor for the process defined by this system is proved. For some specific processes, the structures of their attractors are identified.

Full text (added June 1, 2020)

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