Analysis of Novel Seven-Dimension Hyper Chaotic by Using SDIC and Waveform

In this paper, a proposed novel seven dimensions (7D) hyperchaotic system with twelve positive parameters is presented. A chaotic behavior for the proposed system is proved through zero-one test, waveform analysis, Sensitivity Dependent on Initial Condition (SDIC) analysis and Lyapunov exponent. It is well known that one of the chaotic definitions is the proposed system is chaotic if it has positive Lyapunov exponent or it satisfies SDIC on its domain and it is known that the waveform analysis is an indication of the chaotic novel 7D system. It was approved that a little change in the initial values creates a high sensitivity in the chaotic behavior when the period time becomes large because the distance between initial conditions will become large. The dynamics of the novel 7D hyperchaotic simulated using the Mathematica program. Testing results show that the proposed system is hyperchaotic because it has three Lyapunov positive exponent, the time-domain waveform has non-cyclical characteristics and it has a better sensitivity dependent on initial condition on initial values.