Topological Horseshoe Analysis, Ultimate Boundary Estimations of a New 4D Hyperchaotic System and Its FPGA Implementation

DOI10.1142/S0218127418500815zbMath1395.34020MaRDI QIDQ3176336

Jigang Tong, Mingfeng Yuan, Cong Zhang, Shengzhi Du, Enzeng Dong, Zeng-Qiang Chen

Publication date: 20 July 2018

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

Poincaré mapFPGAhyperchaotic systemultimate boundtopological horseshoeglobally exponentially attractive setDSP builder

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Growth and boundedness of solutions to ordinary differential equations (34C11) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (5)

Multistability analysis, coexisting multiple attractors, and FPGA implementation of Yu-Wang four-wing chaotic system ⋮ Ultimate boundary estimation and topological horseshoe analysis on a parallel 4D hyperchaotic system with any number of attractors and its multi-scroll ⋮ Dynamic Analysis and FPGA Implementation of a Kolmogorov-Like Hyperchaotic System ⋮ Transient behaviors and equilibria-analysis-based boundary crisis analysis in a smooth 4D dynamical system ⋮ Bifurcation and chaos in a smooth 3D dynamical system extended from Nosé-Hoover oscillator

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