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Controlling dynamics of hidden attractors. / Sharma, Pooja Rani; Shrimali, Manish Dev; Prasad, Awadhesh; Kuznetsov, N. V.; Leonov, G. A.

In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 25, No. 4, 1550061, 12.04.2015.

Research output: Contribution to journal › Article › peer-review

Harvard

Sharma, PR, Shrimali, MD, Prasad, A, Kuznetsov, NV & Leonov, GA 2015, 'Controlling dynamics of hidden attractors', International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, vol. 25, no. 4, 1550061. https://doi.org/10.1142/S0218127415500613, https://doi.org/10.1142/S0218127415500613

APA

Sharma, P. R., Shrimali, M. D., Prasad, A., Kuznetsov, N. V., & Leonov, G. A. (2015). Controlling dynamics of hidden attractors. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 25(4), [1550061]. https://doi.org/10.1142/S0218127415500613, https://doi.org/10.1142/S0218127415500613

Vancouver

Sharma PR, Shrimali MD, Prasad A, Kuznetsov NV , Leonov GA. Controlling dynamics of hidden attractors. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2015 Apr 12;25(4). 1550061. https://doi.org/10.1142/S0218127415500613, https://doi.org/10.1142/S0218127415500613

Author

Sharma, Pooja Rani ; Shrimali, Manish Dev ; Prasad, Awadhesh ; Kuznetsov, N. V. ; Leonov, G. A. / Controlling dynamics of hidden attractors. In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2015 ; Vol. 25, No. 4.

BibTeX

@article{d2dae15f81a045f59521f8044dfdbf3d,

title = "Controlling dynamics of hidden attractors",

abstract = "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.",

keywords = "amplitude death, boundary crisis, Hidden attractors, Hopf bifurcation, linear augmentation",

author = "Sharma, {Pooja Rani} and Shrimali, {Manish Dev} and Awadhesh Prasad and Kuznetsov, {N. V.} and Leonov, {G. A.}",

note = "Publisher Copyright: {\textcopyright} 2015 World Scientific Publishing Company.",

year = "2015",

month = apr,

day = "12",

doi = "10.1142/S0218127415500613",

language = "English",

volume = "25",

journal = "International Journal of Bifurcation and Chaos in Applied Sciences and Engineering",

issn = "0218-1274",

publisher = "WORLD SCIENTIFIC PUBL CO PTE LTD",

number = "4",

}

RIS

TY - JOUR

T1 - Controlling dynamics of hidden attractors

AU - Sharma, Pooja Rani

AU - Shrimali, Manish Dev

AU - Prasad, Awadhesh

AU - Kuznetsov, N. V.

AU - Leonov, G. A.

PY - 2015/4/12

Y1 - 2015/4/12

N2 - 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.

AB - 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.

KW - amplitude death

KW - boundary crisis

KW - Hidden attractors

KW - Hopf bifurcation

KW - linear augmentation

UR - http://www.scopus.com/inward/record.url?scp=84929206789&partnerID=8YFLogxK

U2 - 10.1142/S0218127415500613

DO - 10.1142/S0218127415500613

M3 - Article

VL - 25

JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

SN - 0218-1274

IS - 4

M1 - 1550061

ER -

ID: 4003697