Dynamics of the Classical Counterpart of a Quantum Nonlinear Oscillator with Parametric Dissipation

被引：0
作者：
Houeto, J. G. [1 ]
Hinvi, L. A. [1 ,2 ]
Miwadinou, C. H. [1 ,3 ]
Dozounhekpon, H. F. [1 ]
Monwanou, A. V. [1 ]
机构：
[1] Inst Math Sci Phys, Lab Mecan Fluides, Dynam Nonlineaire & Modelisat Syst Biol LMFDNMSB, Porto Novo, Benin
[2] Univ Natl Sci Technol Ingenierie & Math UNSTIM, Dept Genie Mecan et Prod GMP, INSTI Lokossa, Abomey, Benin
[3] Univ Natl Sci Technol Ingenierie & Math UNSTIM, Ecole Normale Super Natitingou, Dept Phys Chim & Technol, Abomey, Benin
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2024年 / 63卷 / 10期
关键词：
Classical oscillator; Parametric dissipation; Nonlinear resonance; Bifurcation; Route to chaos; POSITION-DEPENDENT MASS; DRIVEN;
D O I：
10.1007/s10773-024-05787-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This work analyzes the effect of parametric dissipation on the dynamics of the classical oscillator counterpart of a quantum nonlinear oscillator driven by a position-dependent mass. The multiple scale method is used to search the different possible states of resonances and two types of resonances are analyzed. The influence of system parameters and in particular that of parametric dissipation on the resonance amplitude is studied. The complete dynamics and transition to chaos of the oscillator are analyzed numerically using the Runge-Kutta algorithm of order 4. Bifurcation diagrams, Lyapunov exponents and phase spaces are used and the frequency doubling phenomenon is obtained and the limits of the system oscillations are widened.
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页数：25
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