The simplest 4-D chaotic system with line of equilibria, chaotic 2-torus and 3-torus behaviour

摘要: The paper reports the simplest 4-D dissipative autonomous chaotic system with line of equilibria and many unique properties. dynamics new contains a total eight terms one nonlinear term. It has bifurcation parameter. Therefore, proposed is compared other similar systems. Jacobian matrix rank less than four. However, exhibits four distinct Lyapunov exponents $$(+, 0, -, -)$$ sign for some values parameter thus confirms presence chaos. Further, shows 2-torus $$(+,0,0,-)$$ , quasi-periodic $$[(0,0,-,-), (0,0,0,-)]$$ multistability behaviour. Bifurcation diagram, spectrum, phase portrait, instantaneous plot, Poincare map, frequency recurrence analysis, 0–1 test, sensitivity to initial conditions circuit simulation are used analyse describe complex rich dynamic behaviour system. hardware realisation validates MATLAB results. developed from well-known Rossler type-IV 3-D