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

Shreya Mitra; A. Ghose-Choudhury; Sudip Garai; Sujoy Poddar; Partha Guha

doi:10.1007/s12043-024-02843-x

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

Shreya Mitra
, A. Ghose-Choudhury
, Sudip Garai
, Sujoy Poddar
, Partha Guha

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We apply the technique of renormalisation group (RG) to investigate periodic solutions of the modified Rayleigh–Liénard 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.

Original language	British English
Article number	152
Journal	Pramana - Journal of Physics
Volume	98
Issue number	4
DOIs	https://doi.org/10.1007/s12043-024-02843-x
State	Published - Dec 2024

Keywords

05.30.Pr
05.45.-a
64.60.ae
fractionally damped oscillators
modified Rayleigh–Liénard system
Nonlinear oscillators
renormalisation group method

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10.1007/s12043-024-02843-x

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abstract = "We apply the technique of renormalisation group (RG) to investigate periodic solutions of the modified Rayleigh–Li{\'e}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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AU - Mitra, Shreya

AU - Ghose-Choudhury, A.

AU - Garai, Sudip

AU - Poddar, Sujoy

AU - Guha, Partha

N1 - Publisher Copyright: © Indian Academy of Sciences 2024.

PY - 2024/12

Y1 - 2024/12

N2 - We apply the technique of renormalisation group (RG) to investigate periodic solutions of the modified Rayleigh–Liénard 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.

AB - We apply the technique of renormalisation group (RG) to investigate periodic solutions of the modified Rayleigh–Liénard 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.

KW - 05.30.Pr

KW - 05.45.-a

KW - 64.60.ae

KW - fractionally damped oscillators

KW - modified Rayleigh–Liénard system

KW - Nonlinear oscillators

KW - renormalisation group method

UR - https://www.scopus.com/pages/publications/85208551177

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DO - 10.1007/s12043-024-02843-x

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JO - Pramana - Journal of Physics

JF - Pramana - Journal of Physics

IS - 4

M1 - 152

ER -

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

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Keywords

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