Related Experiment Video
Updated: Jun 24, 2025

Visualization Method for Proprioceptive Drift on a 2D Plane Using Support Vector Machine
Published on: October 27, 2016
A chaotic map with two-dimensional offset boosting
Zhihao Wang1, Chunbiao Li1, Yongxin Li1
1School of Artificial Intelligence, Nanjing University of Information Science and Technology, Nanjing 210044, China.
Abstract:
A chaotic map with two-dimensional offset boosting is exhaustively studied, which is derived from the Lozi map and shows the controllability of amplitude control. The mechanism of two-dimensional offset boosting is revealed based on the cancelation of offset-involved feedback terms. Furthermore, the coexistence of homogeneous multistability and heterogeneous multistability is disclosed when the offset boosting turns to the initial condition. It is also found that the independent constant term rescales the amplitude of all the sequences without changing the Lyapunov exponents. More strikingly, the parameters for amplitude control and offset boosting are bound together introducing hybrid control. The circuit implementation based on the microcontroller unit is used to validate the theoretical analysis and numerical simulations. This chaotic map is applied for particle swarm optimization showing its stronger performance and robustness in solving optimization problems.
Related Concept Videos
Plotting of Topographic Maps
Collisions in Multiple Dimensions: Introduction
Collisions in Multiple Dimensions: Problem Solving
A small car of mass 1,200 kg traveling east at 60 km/h collides at an intersection with a truck of mass 3,000 kg traveling due north at 40 km/h. The two vehicles are locked together. What is the...
Two-Dimensional Force System
Differential Leveling
Coordinates and Map Projections

