Publication

Publication

• Keita Sumiya, The anisotropic Kepler problem (AKP) – A resolution of the uniqueness conjecture of a periodic orbit with a given binary code, a new search method for periodic orbits, quantum chaos in AKP – (doctoral dissertations), pp.1-110 (2015)
• Keita Sumiya, Kazuhiro Kubo, Tokuzo Shimada, AnisotropicKepler problem with Mathematica, Wolfram Research Asia Ltd, Wolfram conference 2014 Japan, http://www.wolfram.com/events/wolfram-conference-tokyo-osaka-2014/files/KSumiya-KKubo-TShimada_WC2014Tokyo.cdf (2014) LINK
• Keita Sumiya, Kazuhiro Kubo, Tokuzo Shimada, Anisotropic Kepler Problem with Mathematica, Wolfram Research, Wolfram Technology Conference 2014, http://wtc14.pathable.com/static/attachments/108818/1414697261.nb?1414697261 (2014) LINK
• Keita Sumiya, Kazuhiro Kubo, and Tokuzo Shimada, A New Shooting Algorithm for the Search of Periodic Orbits, Artificial Life and Robotics, 19, 3, pp. 262-269, Springer Japan (2014) LINK
• Keita Sumiya, Hisakazu Uchiyama, Kazuhiro Kubo and Tokuzo Shimada, Classical and Quantum Correspondence in Anisotropic Kepler Problem, chapter 2 of Advances in Quantum Mechanics, pp. 23-40, ed. Paul Bracken, (ISBN: 978-953-51-1089-7), InTech, Rijeka, Croatia (2013) LINK

Presentation

• Keita Sumiya, Kazuhiro Kubo, Tokuzo Shimada, 質量異方性を持ったケプラー問題における周期軌道の一意存在性(The uniqueness conjecture of a periodic orbit with a given binary code in the anisotropic Kepler problem (AKP) ), JPS Autumn Meeting, Kanazawa, Japan (2016)
• Keita Sumiya, Kazuhiro Kubo, Tokuzo Shimada, AnisotropicKepler problem with Mathematica, Wolfram Research Asia Ltd, Wolfram conference 2014 Japan, Nishi-Waseda, Japan (2014)
• Keita Sumiya, Kazuhiro Kubo, Tokuzo Shimada, Anisotropic Kepler Problem with Mathematica, Wolfram Research, Wolfram Technology Conference 2014, IL, USA (2014)

• Keita Sumiya, Kazuhiro Kubo, Tokuzo Shimada, Uniqueness of AKP periodic orbit with an arbitrary cyclic binary code based on an iterative generation mechanism of devil's staircase surface, JPS Autumn Meeting, Kasugai, Japan (2014)
• Keita Sumiya, Kazuhiro Kubo, Tokuzo Shimada, Search for periodic orbits in AKP up to 2N = 20, Uniqueness of AKP PO at a given binary code in view of devil's staircase, JPS Spring Meeting, Shonan, Japan (2014)
• Keita Sumiya, Kazuhiro Kubo, Tokuzo Shimada, A New Shooting Algorithm for the Search of Periodic Orbits, Artificial Life and Robotics(AROB) 19th, Beppu, Japan (2014)
• Keita Sumiya, Hisakazu Uchiyama, Kazuhiro Kubo, Tokuzo Shimada, Uniqueness of AKP periodic orbit with an arbitrary cyclic binary code based on an iterative generation mechanism of devil's staircase surface, JPS Autumn Meeting, Tsunemishima, Japan (2013)