This paper presents a novel chaotic circuit based on a memristor and a memcapacitor, which are the fourth and fifth fundamental circuit elements, respectively, introduced by Professor Chua. The equivalent circuits of the memristor and memcapacitor are designed and verified using Multisim. The system model is obtained through dimensionless processing, and the stability of the equilibrium point and the influence of parameters on the dynamical characteristics are analyzed. The system exhibits complex phenomena such as chaotic degeneration and extreme multistability. The phase diagram of the system is implemented using both circuit simulation and DSP hardware. The research findings can be applied in engineering and secure communications, particularly in chaotic signal generation and control strategies. The main contributions include the design of a quadratic smooth charge-controlled memristor and a cubic smooth charge-controlled memcapacitor, the construction of a five-dimensional chaotic system, and the observation of complex dynamical behaviors.This paper presents a novel chaotic circuit based on a memristor and a memcapacitor, which are the fourth and fifth fundamental circuit elements, respectively, introduced by Professor Chua. The equivalent circuits of the memristor and memcapacitor are designed and verified using Multisim. The system model is obtained through dimensionless processing, and the stability of the equilibrium point and the influence of parameters on the dynamical characteristics are analyzed. The system exhibits complex phenomena such as chaotic degeneration and extreme multistability. The phase diagram of the system is implemented using both circuit simulation and DSP hardware. The research findings can be applied in engineering and secure communications, particularly in chaotic signal generation and control strategies. The main contributions include the design of a quadratic smooth charge-controlled memristor and a cubic smooth charge-controlled memcapacitor, the construction of a five-dimensional chaotic system, and the observation of complex dynamical behaviors.