An extremal property of trigonometric polynomials
D.V. Dmitrishin, A.D. Khamitova
TL;DR
This paper investigates a specific extremal property of conjugate trigonometric polynomials and explores its potential application in stabilizing quasidynamic chaos in discrete systems.
Contribution
It provides a solution to a conditional extremum problem for conjugate trigonometric polynomials and discusses its application to chaos stabilization.
Findings
Derived an extremal property of conjugate trigonometric polynomials
Proposed a method for applying this property to chaos control
Highlighted potential for optimizing stabilization in discrete systems
Abstract
In this article the solution of the special problem of the conditional extremum for the conjugate trigonometric polynomials is given. A possibility to apply this result to the problems of optimal stabilization of quasidynamic chaos in discrete systems is mentioned.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMaterial Science and Thermodynamics · Elasticity and Wave Propagation · Differential Equations and Numerical Methods