Stability of Periodic Billiard Trajectories in Triangle

DOI10.18500/1816-9791-2018-18-1-25-39zbMath1406.37034OpenAlexW2793345588MaRDI QIDQ3120402

Aleksandr Nikolaevich Kirillov, Ruslan Valer'Evich al'Kin

Publication date: 4 March 2019

Published in: Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/isu742

zbMATH Keywords

stabilitypatternmathematical billiardcoding of trajectoriesfan code

Mathematics Subject Classification ID

Stability theory for smooth dynamical systems (37C75)

Cites Work

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• Problem of stability of two-link trajectories in a multidimensional Birkhoff billiard
• On the stability of the two-link trajectory of the parabolic Birkhoff billiards
• Periodic billiard trajectories in polygons: generating mechanisms
• Obtuse Triangular Billiards II: One Hundred Degrees Worth of Periodic Trajectories