Paper Info
Title
A Novel Megastable System: Cloud, Kite, and Arrow-Like Attractors and Their Dynamics
Abstract
A megastable oscillator with various types of attractors is proposed. The oscillator shows interesting dynamics like cloud, kite, and arrow-like attractors. As we know, such a megastable oscillator with the dynamic shapes was not previously reported. There is an infinite number of arrow-like attractors in this oscillator. Investigating equilibrium points of the oscillator and their stabilities shows that two of the attractors, the largest cloud-like and smallest kite-like, are self-excited, while the others are hidden. The basin of attraction for the oscillator is studied for various attractors. Then, a forcing term is added to the oscillator, and its dynamics are investigated. The bifurcations and Lyapunov exponents of each type of attractor are investigated by changing the coefficient of the sinusoidal term K. Each of the attractors shows various periodic, quasi-periodic, and chaotic dynamics for various K. Also, the basin of attraction of the forced oscillator is investigated.
Year
DOI
Venue
2022
10.1142/S0218127422501528
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
Megastable, the shape of attractor, basin of attraction
Journal
32
Issue
ISSN
Citations 
10
0218-1274
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Balamurali Ramakrishnan101.69
Hayder Natiq202.70
Karthikeyan Rajagopal305.07
Sajad Jafari418433.07
Fahimeh Nazarimehr500.34