Influence of amplitude-modulated excitation on the dynamic behaviour of polarisation of a material

This work concerns the modelling of the dynamics of polarisation of a centrosymmetric material subjected to an amplitude-modulated excitation (AME). The dynamic equation obtained for the polarisation is the Duffing equation with nonlinearities of orders 3 and 5. With the multiple scale method, the n...

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Bibliographic Details
Published inPramāṇa Vol. 95; no. 4
Main Authors Ainamon, Cyrille, Hinvi, Laurent Amoussou, Patinvoh, Fébron Cyrus, Miwadinou, Clément Hodévèwan, Monwanou, Adjimon Vincent, Orou, Jean Bio Chabi
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 01.12.2021
Springer Nature B.V
Subjects
Algorithms
Amplitudes
Astronomy
Astrophysics and Astroparticles
Duffing equation
Excitation
Liapunov exponents
Mathematical models
Nonlinearity
Observations and Techniques
Physics
Physics and Astronomy
Polarization
Runge-Kutta method
vibrational resonance
bifurcation
12.10.Dm
chaos
Nonlinear polarisation
nonlinear and multiple resonances
12.60.Jv
11.30.Hv
98.80.Cq
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Summary:This work concerns the modelling of the dynamics of polarisation of a centrosymmetric material subjected to an amplitude-modulated excitation (AME). The dynamic equation obtained for the polarisation is the Duffing equation with nonlinearities of orders 3 and 5. With the multiple scale method, the nonlinear resonances are studied. Periodic, multiperiodic, quasiperiodic and chaotic behaviour have been checked using the bifurcation diagram, Lyapunov exponent, phase space, Poincaré section and vibrational resonance using the fourth-order Runge–Kutta integration algorithm. The effects of various parameters of polarisation are analysed and very interesting results are obtained. The results obtained by the analytical methods are validated and complemented by the numerical simulations.
ISSN:0304-4289
0973-7111
DOI:10.1007/s12043-021-02168-z