Modeling method of a class of 5D Hamiltonian conservative hyperchaotic systems with adjustable signal amplitude

Abstract

Compared to dissipative chaotic systems, conservative chaotic systems have gained attention because they can avoid reconstruction attacks due to the absence of attractors. This paper reports a general method for constructing 5D Hamiltonian conservative hyperchaotic systems, mainly by coupling three 5D sub-rigid bodies with two identical axes to obtain 5D Euler equations, and then combining Hamiltonian energy and Casimir energy analysis to obtain a 5D conservative hyperchaotic system. This method is general and convenient, and the constructed conservative hyperchaotic system has good performance. In addition, this paper investigates the impact of parameters and initial values on system performance using energy analysis and proposes a simple signal amplitude adjustment method. This method has no restrictions on the mathematical models of chaotic systems, can quickly adjust signal amplitudes, and enhances the hyperchaotic characteristics of the system based on this method. Finally, the correctness of the theoretical and simulation analysis is verified using a DSP hardware platform.

A new hyperchaotic system with dynamical analysis and its application in image encryption based on STM32

“…Subsequently, numerical simulation methods such as MATLAB were employed to conduct in-depth analyses of the dynamic characteristics of hyperchaotic systems, including Lyapunov exponents' spectrum and bifurcation diagrams. Hyperchaotic systems hold vast potential for applications in fields like image encryption and communication security [58][59][60][61][62][63][64][65][66][67][68][69] , given their nonlinear characteristics and high security, thereby offering a promising avenue for research in information security and cryptography.…”