A Fish Biology Chaotic System and its Circuit Design A Rhif1,*, S Vaidyanathan2 , A Sambas3 , Mujiarto3 and Subiyanto4
1Laboratory of Advanced Systems, Polytechnic School of Tunisia, La Marsa, Tunisia
2Research and Development Centre, Vel Tech University, Avadi, Chennai, India
3Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Indonesia
4Department of Marine Science, Faculty of Fishery and Marine Science, Universitas Padjadjaran, Indonesia
Abstract
Applications of dynamical systems in chaos theory arising in several areas are
investigated and circuital implementations of dynamical systems are studied by many
researchers. In this work, we consider the fish-biology dynamical system introduced by
Foutayeni and Khaladi (2016). By taking a different set of parameter values, we observe chaos
in the Foutayeni-Khaladi fish-biology model and derive a new fish-biology chaotic system.
Properties of the new fish-biology chaotic system are analyzed by means of phase portraits,
Lyapunov exponents, and Kaplan-Yorke dimension. An electronic circuit realization is shown
to validate the chaotic behavior of the new 3-D fish-biology chaotic system. The circuit
experimental results of the 3-D fish-biology chaotic system show agreement with numerical
simulations.
