A Fish Biology Chaotic System and its Circuit Design

Abstract

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.