Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 26, Issue 14, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127416502333
Keywords
Amplitude control; Lyapunov exponents; multistability; basins of attraction
Funding
- Startup Foundation for Introducing Talent of NUIST [2016205]
- Natural Science Foundation of the Jiangsu Higher Education Institutions of China [16KJB120004]
- Advantage Discipline Information and Communication Engineering of Jiangsu Province
- National Natural Science Foundation of China [61072133]
- Priority Academic Program Development of Jiangsu Higher Education Institutions
Ask authors/readers for more resources
A crisis of amplitude control can occur when a system is multistable. This paper proposes a new chaotic system with a line of equilibria to demonstrate the threat to amplitude control from multistability. The new symmetric system has two coefficients for amplitude control, one of which is a partial amplitude controller, while the other is a total amplitude controller that simultaneously controls the frequency. The amplitude parameter rescales the basins of attraction and triggers a state switch among different states resulting in a failure of amplitude control to the desired state.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available