Research On The Dynamic Behavior Of A New Chaotic System And Its Circuit Implementatio

Chaos is widely applied,and highly complex chaotic systems are one of the current theoretical research hotspots.The construction or discovery of new chaotic systems with highly complex dynamical behaviors has important application value and practical significance.To achieve higher complexity,the study of chaotic systems is moving toward higher dimensionality,which at the same time makes the simulation computationally complicated and increases the cost of hardware design.Thus,in this thesis,two new three-dimensional chaotic systems are proposed,their dynamical behavior is analyzed in depth,the corresponding chaotic circuits are designed,and their physical implementation is obtained using analog electronic circuits.The details are summarized as follows.A new chaotic system with highly complex properties was constructed by modifying the nonlinear term in the Anishchenko-Astakhov oscillator model.Adjusting the single parameter of the system enables the appearance of multiple shapes of two-channel attractors.The system exhibits at least 3 different types of multistability behavior and there is transient behavior.The dynamics of this chaotic system can be controlled by a single parameter and the attractor can be controlled,which can save cost and improve efficiency in engineering applications.Multisim-based circuit simulation and hardware experiments demonstrate its physical realizability.A new type of memristor-based chaotic system is obtained by introducing a smooth quadratic magnetic controlled memristor into the VB2 chaotic system,and the controllability of the original system is retained.The analysis of bifurcation diagrams and Lyapunov exponent spectra reveals that the memristor-based system is sensitive to 5 parameters and has 14 attractors with strange shapes.The system has at least 2types of multistable behavior and 2 types of transient behavior,as well as attractor merging behavior that changes with the initial value.The hardware circuit designed by replacing the memristor with an equivalent circuit verifies its physical realizability.Using a typical chaotic digital image encryption algorithm,the novel memristor-based system is successfully applied to image encryption,and its good encryption performance is analyzed in terms of the histogram,pixel correlation,key sensitivity,and information entropy,which provides a reliable reference for applications in the field of information encryption and even in other disciplines.