The stability of periodic Hamiltonian systems with multiple fourth-order resonance期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

The stability of periodic Hamiltonian systems with multiple fourth-order resonance

Affiliation:	1. Queen''s Marine Laboratory, Queen''s University Belfast, 12-13 The Strand, Portaferry, BT22 1PF, Northern Ireland, UK;2. The New Zealand Institute for Plant and Food Research Ltd, Nelson, New Zealand;3. School of Biological Sciences, Queen''s University Belfast, 19 Chlorine Gardens, Belfast, BT9 5DL, Northern Ireland, UK;4. School of Natural and Built Environment, Queen''s University Belfast, Stranmillis Road, Belfast, BT9 5AG, Northern Ireland, UK;5. School of Mechanical and Aerospace Engineering, Queen''s University Belfast, Ashby Building, Stranmillis Road, Belfast, BT9 5AH, Northern Ireland, UK

Abstract:	The problem of the stability of the periodic motion of a non-linear periodic Hamiltonian system is considered in the case of pure imaginary characteristic exponents which also satisfy several fourth-order resonance conditions. Conditions for stability and instability are formulated based on terms of the third order inclusive. Some conclusions generalize results obtained previously [1].

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