Controlling hidden dynamics and multi-stability of a class of two-dimensional maps via linear augmentation
Zhang, L; Jiang, H; Liu, Y; et al.Wei, Z; Bi, Q
Date: 15 March 2021
Journal
International Journal of Bifurcation and Chaos
Publisher
World Scientific Publishing
Publisher DOI
Abstract
This paper reports the complex dynamics of a class of two-dimensional maps containing hidden
attractors via linear augmentation. Firstly, the method of linear augmentation for continuous
dynamical systems is generalised to discrete dynamical systems. Then three cases of a class of
two-dimensional maps that exhibit hidden dynamics, ...
This paper reports the complex dynamics of a class of two-dimensional maps containing hidden
attractors via linear augmentation. Firstly, the method of linear augmentation for continuous
dynamical systems is generalised to discrete dynamical systems. Then three cases of a class of
two-dimensional maps that exhibit hidden dynamics, the maps with no fixed point and the maps
with one stable fixed point, are studied. Our numerical simulations show the effectiveness of the
linear augmentation method. As the coupling strength of the controller increases or decreases,
hidden attractor can be annihilated or altered to be self-excited, and multi-stability of the map
can be controlled to bistable or monostable.
Engineering
Faculty of Environment, Science and Economy
Item views 0
Full item downloads 0