A New Chaotic System with a Pear-shaped Equilibrium and its Circuit Simulation

Aceng Sambas (Universitas Muhammadiyah Tasikmalaya)
Sundarapandian Vaidyanathan (Vel Tech University)
Mustafa Mamat (Universiti Sultan Zainal Abidin)
Muhammad Afendee Mohamed (Universiti Sultan Zainal Abidin)
Mada Sanjaya WS (Universitas Islam Negeri Sunan Gunung Djati Bandung)

International Journal of Electrical and Computer Engineering
Vol 8, No 6: December 2018

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.