magnetic billiards
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Nonlinearity ◽  
2021 ◽  
Vol 34 (3) ◽  
pp. 1503-1524
Author(s):  
Sean Gasiorek
Keyword(s):  

Author(s):  
Misha Bialy ◽  
Andrey E. Mironov

In this paper, we give a short survey of recent results on the algebraic version of the Birkhoff conjecture for integrable billiards on surfaces of constant curvature. We also discuss integrable magnetic billiards. As a new application of the algebraic technique, we study the existence of polynomial integrals for the two-sided magnetic billiards introduced by Kozlov and Polikarpov. This article is part of the theme issue ‘Finite dimensional integrable systems: new trends and methods’.


2016 ◽  
Vol 49 (45) ◽  
pp. 455101 ◽  
Author(s):  
Misha Bialy ◽  
Andrey E Mironov
Keyword(s):  

2003 ◽  
Vol 67 (6) ◽  
Author(s):  
Zoltán Vörös ◽  
Tamás Tasnádi ◽  
József Cserti ◽  
Péter Pollner

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