摘要：AbstractThis 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, Poincaré 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.
关键词：KeywordsBasin of attractionBifurcationChaosChaotic systemCoexisting attractorsJerk systemLyapunov spectrumNonlinear dynamics
