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In this paper, an autonomous RC hyperjerk like-chaotic circuit with cubic nonlinearity is introduced and investigated. The state equations of the proposed hyperjerk chaotic circuit are described using Kirchhoff's laws. Some fundamental properties of the system such as symmetry, dissipation, equilibrium points and stability are examined. It is found that the system has three equilibrium points which are all unstable. By varying the parameters of the system, it is revealed from numerical simulations that the system exhibits some interesting dynamics including crisis event, hysteretic dynamics (inducing the coexistence of attractors) and transient chaos. To the best of the authors' knowledge, the results of this work represent the first report on the phenomenon of transient chaos in a hyperjerk like-chaotic system and thus deserve dissemination. Hardware experiments are performed to support numerical simulations. The results from hardware experiments are in good agreement with numerical simulations. [ABSTRACT FROM AUTHOR]

In this paper, a novel autonomous RC chaotic jerk circuit is introduced and the corresponding dynamics is systematically investigated. The circuit consists of opamps, resistors, capacitors and a pair of semiconductor diodes connected in anti-parallel to synthesize the nonlinear component necessary for chaotic oscillations. The model is described by a continuous time three-dimensional autonomous system with hyperbolic sine nonlinearity, and may be viewed as a linear transformation of model MO15 previously introduced in [Sprott, 2010]. The structure of the equilibrium points and the discrete symmetries of the model equations are discussed. The bifurcation analysis indicates that chaos arises via the usual paths of period-doubling and symmetry restoring crisis. One of the key contributions of this work is the finding of a region in the parameter space in which the proposed ('elegant') jerk circuit exhibits the unusual and striking feature of multiple attractors (i.e. coexistence of four disconnected periodic and chaotic attractors). Laboratory experimental results are in good agreement with the theoretical predictions. [ABSTRACT FROM AUTHOR]