Investigation Of Physical Mechanism And Energy Encoding In Synchronization Of Chaotic Systems Driven By Noise

Each functional area of the nervous system is composed of millions of neurons,and the dynamics of each neuron in the system can be adjusted by coupling with neighboring neurons.So far,various models of chaotic systems have been proposed to study the dynamics of neurons.Electrical and chemical synapses are often used to connect neurons for synchronization.Similarly,voltage coupling through linear resistors can effectively achieve synchronization between chaotic circuits.In addition,some uncoupled oscillators driven by noise can also be synchronized between systems.First,this paper studies the synchronization of a class of systems with sensitive initial values and memory items under noise driving,and proposes its synchronization mechanism.When the noise acts on the memristive oscillator and the non-linear motor separately,the noise disturbance of the memory term will change the system dynamics and the attraction domain.In addition,as the noise intensity increases,the two memristive nonlinear oscillators and the nonlinear motor can be completely synchronized,and the transient time during synchronization depends on the memory term.In fact,in the absence of direct variable coupling,the complete synchronization of this type of system is achieved by the noise frequently resetting the initial value of the memory variable to enhance the system's dependence on the initial value,so that the orbits of the two oscillators are guided to Coincident with each other to achieve synchronization between systems.Secondly,from the perspective of energy injection,this paper studies the synchronization between uncoupled chaotic circuits under the influence of external magnetic fields.When an external electromagnetic field acts on a single Chua circuit,the induction coil in the circuit is used to capture the external magnetic field energy.The two chaotic Chua circuits are driven by the same periodic and noise electromagnetic radiation,respectively.The synchronization phenomenon between the two Chua circuits is studied by adjusting the intensity of the external magnetic field.The study found that in the case of periodic radiation,two Chua circuits(periodic and chaotic)can achieve phase synchronization and phase locking.In addition,noise-like radiation can achieve complete synchronization of the two chaotic Chua circuits,causing the two Chua circuits to phase lock during periodic oscillation.