Examination of chaotic behaviours using bond graph model |
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| Institution: | 1. School of Civil Engineering, The University of Birmingham, Edgbaston, Birmingham B15 2TT, UK;2. Department of Civil Engineering, Xi''an Jiaotong-Liverpool University, Suzhou, China;1. Department of Geography, University of Calgary, Calgary, AB T2N 1N4, Canada;2. Biogeoscience Institute, University of Calgary, Calgary, AB T2N 1N4, Canada;3. Department of Biological Sciences, University of Calgary, Calgary, AB T2N 1N4, Canada;1. Department of Oceanography and Coastal Sciences, Louisiana State University, 1002-Y Energy, Coast & Environment Building, Baton Rouge, LA 70803, USA;2. Center for Computation and Technology, Louisiana State University, 340 E Parker Blvd, Baton Rouge, LA 70803, USA;3. Department of Earth and Environment, Boston University, 675 Commonwealth Avenue, Boston, MA 02215, USA;1. School of Agronomy and Forestry Engineering, University of Cordoba, Campus Rabanales, Leonardo Da Vinci building, 14071 Córdoba, Spain;2. IFAPA, Centro Las Torres-Tomejil-Ctra. Sevilla-Cazalla, km 12.2, 41200 Alcalá del Río Seville, Spain;3. Institute of Sustainable Agriculture (CSIC), Avda. Alameda del Obispo s/n, 14004 Córdoba, Spain |
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| Abstract: | In this paper, modelling and simulation of Chua's chaotic oscillator, which exhibits rich chaotic behaviours, are presented by using the bond graph model. Up to now modelling of Chua's chaotic oscillator using bond graph model is not yet developed. The non-linear resistor in the circuit is modelled in this contribution by linear time-invariant components and ideal switches using piecewise linearization approach. The bond graph model of all the circuit including switches is then generated. Simulations are provided via the computer program called as BOMAS using the obtained bond graph model. Finally, Chua's circuit is verified experimentally. It is shown that all experimental and simulation results well agree with the chaotic behaviours of Chua's circuit. |
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