2019
DOI: 10.1155/2019/6581586
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Dynamic Analysis and Circuit Implementation of a New 4D Lorenz‐Type Hyperchaotic System

Abstract: This paper attempts to further extend the results of dynamical analysis carried out on a recent 4D Lorenz-type hyperchaotic system while exploring new analytical results concerns its local and global dynamics. In particular, the equilibrium points of the system along with solution’s continuous dependence on initial conditions are examined. Then, a detailed Z2 symmetrical Bogdanov-Takens bifurcation analysis of the hyperchaotic system is performed. Also, the possible first integrals and global invariant surface… Show more

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Cited by 8 publications
(3 citation statements)
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“…Firstly, it has a phase space of dimension at least four. Secondly, it possesses at least two positive Lyapunov exponents [49].…”
Section: Lorenz Hyperchaotic Systemmentioning
confidence: 99%
“…Firstly, it has a phase space of dimension at least four. Secondly, it possesses at least two positive Lyapunov exponents [49].…”
Section: Lorenz Hyperchaotic Systemmentioning
confidence: 99%
“…First, its phase space is at least four-dimensional. Secondly, it has at least two positive Lyapunov exponents [21,22].…”
Section: Lorenz Hyperchaotic Systemmentioning
confidence: 99%
“…While electronic circuit simulation software [2][3][27][28] and embedded hardware (DSP [13][14][15][16][17][18] , FPGA [19][20][21][22][23][24][25] ) have been widely used for simulating and controlling hyperchaotic systems, the application of embedded hardware STM32 has been limited. The STM32 offers high performance, low cost, low power consumption, real-time capabilities, digital signal processing, and connectivity, making it very popular in various industries such as industrial control, communications, and the Internet of Things.…”
Section: Introductionmentioning
confidence: 99%