Analyzing on a Novel Chaotic System and its Dynamic Behaviors
Ping Zhang
Abstract
Ping Zhang
Abstract
In this paper,a novel three-dimensional autonomous chaotic system is reported.The dynamic properties of the new system are investigated via Lyapunov dimension,numerical simulation,Poincare diagrams and Lyapunov exponent spectrum.The different dynamic behaviors of the system are analyzed especially when each system parameter is changed.The simulation results confirm that the chaotic system is different from the existing chaotic systems and is a novel chaotic system.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
In this paper,a novel three-dimensional autonomous chaotic system is reported.The dynamic properties of the new system are investigated via Lyapunov dimension,numerical simulation,Poincare diagrams and Lyapunov exponent spectrum.The different dynamic behaviors of the system are analyzed especially when each system parameter is changed.The simulation results confirm that the chaotic system is different from the existing chaotic systems and is a novel chaotic system.
Key concepts: Lyapunov exponent, Chaotic, Synchronization of chaos, Dimension (graph theory), Control theory (sociology), Chaotic systems, Computer science, Chaotic scattering