Integrability analysis of the Shimizu–Morioka system

•We show that a homothetic transformation converts the Shimizu–Morioka system into the Rucklidge system.•The results on the Shimizu–Morioka system can be obtained from the corresponding results on the Rucklidge system.•Integrability analysis of the Shimizu–Morioka system is performed. The aim of thi...

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Veröffentlicht in:	Communications in nonlinear science & numerical simulation 2020-05, Vol.84, p.105101, Article 105101
Hauptverfasser:	Huang, Kaiyin, Shi, Shaoyun, Li, Wenlei
Format:	Artikel
Sprache:	eng
Schlagworte:	Chaos theory Differential galois theory Dynamical systems First integral Integrability Integrals Mathematical analysis Nonlinear equations Orbits Parameters Shimizu–Morioka system
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