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A Self-Reproduction Hyperchaotic Map With Compound Lattice Dynamics

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In this article, sinusoidal functions are introduced to a discrete map for hyperchaos generation and attractor self-reproduction. The constructed map shares a unique structure with controllable symmetry and conditional symmetry,… Click to show full abstract

In this article, sinusoidal functions are introduced to a discrete map for hyperchaos generation and attractor self-reproduction. The constructed map shares a unique structure with controllable symmetry and conditional symmetry, which exhibits compound lattice dynamics, including 1-D and 2-D attractor growth. The direction of attractor growth can be controlled under polarity balance. STM32-based circuit realization verifies the results with numerical simulation and theoretical analysis. A pseudorandom number generator is built finally based on the newly proposed hyperchaotic map proving the high performance in application.

Keywords: map; compound lattice; hyperchaotic map; lattice dynamics; self reproduction

Journal Title: IEEE Transactions on Industrial Electronics
Year Published: 2022

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