Chaotic and Hyperchaotic Dynamics of a Modified Murali–Lakshmanan–Chua CircuitSource: Journal of Computational and Nonlinear Dynamics:;2019:;volume( 014 ):;issue: 005::page 51001DOI: 10.1115/1.4042692Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The present study uncovers the hyperchaotic dynamical behavior of the famous Murali-Lakshmanan-Chua (MLC) circuit, when suitably modified. In the conventional MLC oscillator, an inductor is introduced in parallel between the nonlinear element and the capacitor. Many novel and interesting dynamical behaviors such as reverse period-3 doubling, torus breakdown to chaos and hyperchaos, etc., were observed. Characterization techniques includes spectrum of Lyapunov exponents, one parameter bifurcation diagram, recurrence quantification analysis, correlation dimension, etc., were employed to analyze the different dynamical regimes. Explicit analytical solution of the model is derived and the results are corroborated with the numerical outcomes.
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| contributor author | Manimehan, I. | |
| contributor author | Paul Asir, M. | |
| contributor author | Philominathan, P. | |
| date accessioned | 2019-03-17T10:00:17Z | |
| date available | 2019-03-17T10:00:17Z | |
| date copyright | 2/15/2019 12:00:00 AM | |
| date issued | 2019 | |
| identifier issn | 1555-1415 | |
| identifier other | cnd_014_05_051001.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl1/handle/yetl/4255851 | |
| description abstract | The present study uncovers the hyperchaotic dynamical behavior of the famous Murali-Lakshmanan-Chua (MLC) circuit, when suitably modified. In the conventional MLC oscillator, an inductor is introduced in parallel between the nonlinear element and the capacitor. Many novel and interesting dynamical behaviors such as reverse period-3 doubling, torus breakdown to chaos and hyperchaos, etc., were observed. Characterization techniques includes spectrum of Lyapunov exponents, one parameter bifurcation diagram, recurrence quantification analysis, correlation dimension, etc., were employed to analyze the different dynamical regimes. Explicit analytical solution of the model is derived and the results are corroborated with the numerical outcomes. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Chaotic and Hyperchaotic Dynamics of a Modified Murali–Lakshmanan–Chua Circuit | |
| type | Journal Paper | |
| journal volume | 14 | |
| journal issue | 5 | |
| journal title | Journal of Computational and Nonlinear Dynamics | |
| identifier doi | 10.1115/1.4042692 | |
| journal fristpage | 51001 | |
| journal lastpage | 051001-9 | |
| tree | Journal of Computational and Nonlinear Dynamics:;2019:;volume( 014 ):;issue: 005 | |
| contenttype | Fulltext |