Modified fractional Rayleigh-Liénard oscillator and the renormalisation group (RG) method

被引：0
|
作者：
Mitra, Shreya [1 ]
Ghose-Choudhury, A. [1 ]
Garai, Sudip [1 ]
Poddar, Sujoy [1 ]
Guha, Partha [2 ]
机构：
[1] Diamond Harbour Womens Univ, DH Rd, Sarisha 743368, India
[2] Khalifa Univ Sci & Technol, Dept Math, Main Campus,POB 127788, Abu Dhabi 127788, U Arab Emirates
来源：
PRAMANA-JOURNAL OF PHYSICS | 2024年 / 98卷 / 04期
关键词：
Nonlinear oscillators; renormalisation group method; modified Rayleigh-Li & eacute; nard system; fractionally damped oscillators; 05.45.-a; 64.60.ae; 05.30.Pr;
D O I：
10.1007/s12043-024-02843-x
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We apply the technique of renormalisation group (RG) to investigate periodic solutions of the modified Rayleigh-Li & eacute;nard oscillator, both in presence of usual integer order damping and fractional order damping. In the latter case, a parametric driven periodic external force is also taken into account. The existence of limit cycle solutions is evident in both scenarios.
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页数：12
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