A new two-dimensional chaotic system in the form of a cascade structure is designed, which derived from Chebyshev and infinite collapse system. Performance analysis including trajectory, Lyapunov exponent approximate entropy indicate that it has larger range, better ergodicity more complex behaviour than those advanced recently proposed. Moreover, to protect security crowd image data, newly des...

In this paper, we first present a simple seven-term 4D hyperchaotic system based on the classical Sprott-C 3D chaotic system. This novel is inspired by Sprott-B proposed A. T. Sheet (2022). We discuss phenomenon of premature divergence brought about improper choice coupling parameters in that paper and describe basic properties new with phase diagrams, Lyapunov exponential spectra bifurcation d...

In this paper, a description, and analysis of novel 3-D dimension hyperchaotic system is implemented. The proposed oscillation two-order autonomous consisted nine-term symmetric w.r.t x-axis. It proved by Kaplan-York dimension, waveform analysis, phase portrait, Lyapunov exponent. This work-study stability equilibrium point Routh criteria produced that the new has one unstable from type saddle-...

Analytical solution for hyperchaotic systems have attracted increasing interest in recent years. In this paper, numerical-analytical solution for hyperchaotic Rössler system is obtained via multistage homotopy analysis method (MSHAM). An analytical form of the solution within each time interval is given, which is not possible using standard numerical methods. The numerical results obtained by t...

Hyperchaotic systems are chaotic systems having more than one positive Lyapunov exponent and they have important applications in secure data transmission and communication. This paper applies active control method for the synchronization of identical and different hyperchaotic Pang systems (2011) and hyperchaotic Wang-Chen systems (2008). Main results are proved with the stability theorems of L...