Open AccessA New Chaotic System with a Pear-shaped Equilibrium and its Circuit Simulation
Author(s) -
Aceng Sambas,
Sundarapandian Vaidyanathan,
Mustafa Mamat,
Mohamad Afendee Mohamed,
Mada Sanjaya Ws
Publication year - 2018
Publication title -
international journal of electrical and computer engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.277
H-Index - 22
ISSN - 2088-8708
DOI - 10.11591/ijece.v8i6.pp4951-4958
Subject(s) - chaotic , phase portrait , lyapunov exponent , computer science , equilibrium point , statistical physics , chaos (operating system) , control theory (sociology) , bifurcation , physics , mathematics , nonlinear system , mathematical analysis , artificial intelligence , differential equation , operating system , control (management) , quantum mechanics
This paper reports the finding a new chaotic system with a pear-shaped equilibrium curve and makes a valuable addition to existing chaotic systems with infinite equilibrium points in the literature. The new chaotic system has a total of five nonlinearities. Lyapunov exponents of the new chaotic system are studied for verifying chaos properties and phase portraits of the new system are unveiled. An electronic circuit simulation of the new chaotic system with pear-shaped equilibrium curve is shown using Multisim to check the model feasibility.