Related Experiment Video
Updated: May 27, 2025

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Dynamic analysis of a novel 3D chaotic map with two internal frequencies
Pei Wang1, Qiao Wang2,3, Haiwei Sang1,4
1Guizhou Key Laboratory of Artificial Intelligence and Brain-Inspired Computing, College of Mathematics and Big Data, Guizhou Education University, Guiyang, 550018, China.
Abstract:
Trigonometric functions serving as boundary functions are excellent nonlinear elements in designing chaotic maps. However, research on the dynamical behaviors dependent on the internal frequency within these boundary functions is not yet sufficient. Hence, in this paper, a novel chaotic map is proposed. Numerical simulations reveal the unique dynamical behaviors dependent on its dominant and recessive internal frequencies, including the control of the map's Lyapunov exponents and their impact on the overall system performance. This unique phenomenon has not been reported before. The system's initial boosting behavior is then captured, further revealing its initial-boosted extreme multistability. This map is implemented on the STM32 platform, demonstrating its practical applicability for potential practical application scenarios. Ultimately, the map is applied in designing a pseudo-random number generator, and its high randomness is validated through the NIST SP800-22 test.
Related Concept Videos
Damped Oscillations
Although friction and other non-conservative...
Forced Oscillations
Two-Dimensional Force System
Oscillations about an Equilibrium Position
Standing Waves in a Cavity
Two-Dimensional Force System: Problem Solving
The first step to solving a two-dimensional force system problem is to draw a free-body diagram of the object under consideration. This diagram helps identify all the external forces acting on the object, including their...

