Pliers shaped coexisting bifurcation behaviors in a simple jerk chaotic system in comparison with 21 reported systems

This paper exclaims a novel jerk system with a single cubic nonlinearity and an unstable equilibrium point. The proposed jerk system has six terms including the sole nonlinear term, two parameters and coexisting attractors with different behaviors. Different dynamic behaviors are analyzed with the help of various tools like phase plane, Lyapunov exponents and dimension, Poincare map, basin of attraction and bifurcation which confirm the presence of periodic behavior, period doubling bifurcation, chaos and coexistence of different attractors in the proposed jerk dynamics. Simulations are carried out in MATLAB environment which validate the accomplishment of objectives successfully. Copyright (c) 2022 The Authors. This is an open access article under the CC BY-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/)