Exponentially Small Asymptotic Formulas for the Length Spectrum in Some Billiard Tables

Let q ≥ 3 be a period. There are at least two (1, q)-periodic trajectories inside any smooth strictly convex billiard table. We quantify the chaotic dynamics of axisymmetric billiard tables close to their boundaries by studying the asymptotic behavior of the differences of the lengths of their axisy...

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Bibliographic Details
Published in:	Experimental mathematics Vol. 25; no. 4; pp. 416 - 440
Main Authors:	Martín, P., Ramírez-Ros, R., Tamarit-Sariol, A.
Format:	Journal Article Publication
Language:	English
Published:	Taylor & Francis 01.10.2016
Subjects:	35 Partial differential equations 35J Partial differential equations of elliptic type 37 Dynamical systems and ergodic theory 37E Low-dimensional dynamical systems 37E40, 37J50, 65P10, 52A10 52 Convex and discrete geometry 52A General convexity 65 Numerical analysis 65P Numerical problems in dynamical systems Billiards Classificació AMS exponentially small phenomena Hamiltonian systems length spectrum Matemàtiques i estadística Melnikov method numeric experiments Sistemes hamiltonians Àrees temàtiques de la UPC
ISSN:	1058-6458, 1944-950X
Online Access:	Get full text
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