Probabilistic distribution and stochastic P-bifurcation of a hybrid energy harvester under colored noise
Autor: | Clément Tchawoua, I. S. Mokem Fokou, M. Siewe Siewe, C. Nono Dueyou Buckjohn |
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Rok vydání: | 2018 |
Předmět: |
Numerical Analysis
Stationary distribution Applied Mathematics Hybrid energy 02 engineering and technology 021001 nanoscience & nanotechnology 01 natural sciences Piezoelectricity Possibility distribution Amplitude Colors of noise Control theory Modeling and Simulation 0103 physical sciences Statistical physics First-hitting-time model 0210 nano-technology 010301 acoustics Bifurcation Mathematics |
Zdroj: | Communications in Nonlinear Science and Numerical Simulation. 56:177-197 |
ISSN: | 1007-5704 |
DOI: | 10.1016/j.cnsns.2017.08.006 |
Popis: | In this manuscript, a hybrid energy harvesting system combining piezoelectric and electromagnetic transduction and subjected to colored noise is investigated. By using the stochastic averaging method, the stationary probability density functions of amplitudes are obtained and reveal interesting dynamics related to the long term behavior of the device. From stationary probability densities, we discuss the stochastic bifurcation through the qualitative change which shows that noise intensity, correlation time and other system parameters can be treated as bifurcation parameters. Numerical simulations are made for a comparison with analytical findings. The Mean first passage time (MFPT) is numerical provided in the purpose to investigate the system stability. By computing the Mean residence time (TMR), we explore the stochastic resonance phenomenon; we show how it is related to the correlation time of colored noise and high output power. |
Databáze: | OpenAIRE |
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