Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 25, Issue 4, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127415500613
Keywords
Hidden attractors; amplitude death; linear augmentation; boundary crisis; Hopf bifurcation
Funding
- Department of Science and Technology (DST), Government of India
- Russian Scientific Foundation [14-21-00041]
- Saint-Petersburg State University
- Russian Science Foundation [14-21-00041] Funding Source: Russian Science Foundation
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Amplitude death (AD) in hidden attractors is attained with a scheme of linear augmentation. This linear control scheme is capable of stabilizing the system to a fixed point state even when the original system does not have any fixed point. Depending on the control parameter, different routes to AD such as boundary crises and Hopf bifurcation are observed. Lyapunov exponent and amplitude index are used to study the dynamical properties of the system.
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