Abstract
Since the conservative chaotic system (CCS) has no general attractors, conservative chaotic flows are more suitable for the chaos-based secure communication than the chaotic attractors. In this paper, two Hamiltonian conservative chaotic systems (HCCSs) are constructed based on the 4D Euler equations and a proposed construction method. These two new systems are investigated by equilibrium points, dynamical evolution map, Hamilton energy, and Casimir energy. They look similar, but it is found that one can be explained using Casimir power and another cannot be explained in terms of the mechanism of chaos. Furthermore, a pseudorandom signal generator is developed based on these proposed systems, which are tested based on NIST tests and implemented by using the field programmable gate array (FPGA) technique.
Highlights
Many dissipative chaotic systems have been widely studied in the past decades
Luand Chen developed a new chaotic system named Lusystem in 2002, which bridged the gap between the Lorenz system and the Chen system [3]. e complex dynamical behaviors of chaotic systems have been gradually excavated
The dissipative chaotic system (DCS) has strange attractors, which can be reconstructed by using the delay embedding method [13]
Summary
Many dissipative chaotic systems have been widely studied in the past decades. Lorenz discovered the first chaos system named Lorenz system in 1963 [1]. E complex dynamical behaviors of chaotic systems have been gradually excavated Both conservative systems [4, 5] and dissipative systems [6,7,8] have some phenomena of transition from period to quasi-period and into chaos. We first select three linear functions and construct a four-dimensional system using the methods of Reference [17] It accords with the conservative four-dimensional Euler equations of Hamilton and Casimir function, but the four-dimensional system does not produce chaos. En, two linear terms are added based on the modified 4D Euler equations and a new constructive method.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
