Complex billiards and soft billiards

Complex and soft billiards are integrable or nonintegrable dynamical systems whose solutions in complex time have only square root singularities. The analytic structure of these solutions is as simple as possible without being trivial. Writing solutions in implicit form, we study the analytic struct...

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Bibliographic Details
Published inPhysics letters. A Vol. 158; no. 8; pp. 377 - 384
Main Authors Mondragón, R.J., Percival, I.C.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 16.09.1991
Elsevier Science
Subjects
Exact sciences and technology
Function theory, analysis
Mathematical methods in physics
Physics
Billard
Singularity
Nonintegrable system
Series expansion
Integrable system
Interaction potential
Dynamical system
Hamiltonian
Solution
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Summary:Complex and soft billiards are integrable or nonintegrable dynamical systems whose solutions in complex time have only square root singularities. The analytic structure of these solutions is as simple as possible without being trivial. Writing solutions in implicit form, we study the analytic structure of the solutions and approximate them beyond the singularities.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(91)90678-2