TY - JOUR
T1 - Analysis of a new chaotic system, electronic realization and use in navigation of differential drive mobile robot
AU - Nwachioma, Christian
AU - Pérez-Cruz, J. Humberto
N1 - Publisher Copyright:
© 2021 Elsevier Ltd
PY - 2021/3
Y1 - 2021/3
N2 - This paper presents a new chaotic system that has four attractors including two fixed point attractors and two symmetrical chaotic strange attractors. Dynamical properties of the system, viz. sensitive dependence on initial condition, Lyapunov spectrum, measure of strangeness, basin of attraction including the class and size of it, existence of strange attractor, bifurcation analysis, multistability, electronic circuit design, and hardware implementation are rigorously treated. It is found by numerical computations that the system has a far-reaching composite basin of attraction, which is important for engineering applications. Moreover, a circuit model of the system is realized using analog electronic components. A procedure is detailed for converting the system parameters into corresponding values of electronic components such as the circuital resistances while ensuring the dynamic ranges are well contained. Besides, the system is used as the source of control inputs for independent navigation of a differential drive mobile robot, which is subject to the Pfaffian velocity constraint. Due to innate properties of the system such as sensitivity on initial condition and topological mixing, the robot's path becomes unpredictable and guaranteed to scan the workspace, respectively.
AB - This paper presents a new chaotic system that has four attractors including two fixed point attractors and two symmetrical chaotic strange attractors. Dynamical properties of the system, viz. sensitive dependence on initial condition, Lyapunov spectrum, measure of strangeness, basin of attraction including the class and size of it, existence of strange attractor, bifurcation analysis, multistability, electronic circuit design, and hardware implementation are rigorously treated. It is found by numerical computations that the system has a far-reaching composite basin of attraction, which is important for engineering applications. Moreover, a circuit model of the system is realized using analog electronic components. A procedure is detailed for converting the system parameters into corresponding values of electronic components such as the circuital resistances while ensuring the dynamic ranges are well contained. Besides, the system is used as the source of control inputs for independent navigation of a differential drive mobile robot, which is subject to the Pfaffian velocity constraint. Due to innate properties of the system such as sensitivity on initial condition and topological mixing, the robot's path becomes unpredictable and guaranteed to scan the workspace, respectively.
KW - Basin of attraction
KW - Bifurcation
KW - Chaotic systems
KW - Circuit model
KW - Mobile wheel robot
KW - Multistability
UR - http://www.scopus.com/inward/record.url?scp=85100441261&partnerID=8YFLogxK
U2 - 10.1016/j.chaos.2021.110684
DO - 10.1016/j.chaos.2021.110684
M3 - Artículo
AN - SCOPUS:85100441261
SN - 0960-0779
VL - 144
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
M1 - 110684
ER -