Nonlinear Dynamics in a Chemical Reaction under an Amplitude-Modulated Excitation: Hysteresis, Vibrational Resonance, Multistability, and Chaos
Joint Authors
Ainamon, C.
Monwanou, A. V.
Miwadinou, C. H.
Chabi Orou, J. B.
Koukpémèdji, A. A.
Nwagoum Tuwa, P. R.
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-05
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
This paper deals with the effects of an amplitude-modulated (AM) excitation on the nonlinear dynamics of reactions between four molecules.
The computation of the fixed points of the autonomous nonlinear chemical system has been made in detail using the Cardan’s method.
Hopf bifurcation has been also successfully checked.
Routes to chaos have been investigated through bifurcations structures, Lyapunov exponent, phase portraits, and Poincaré section.
The effects of the control force on chaotic motions have been strongly analyzed, and the control efficiency is found in the cases g=0 (unmodulated case) and g≠0 with Ω=ω and Ω/w≠p/q; p and q are simple positive integers.
Vibrational resonance (VR), hysteresis, and coexistence of several attractors have been studied in detail based on the relationship between the frequencies of the AM force.
Results of analytical investigations are validated and complemented by numerical simulations.
American Psychological Association (APA)
Monwanou, A. V.& Koukpémèdji, A. A.& Ainamon, C.& Nwagoum Tuwa, P. R.& Miwadinou, C. H.& Chabi Orou, J. B.. 2020. Nonlinear Dynamics in a Chemical Reaction under an Amplitude-Modulated Excitation: Hysteresis, Vibrational Resonance, Multistability, and Chaos. Complexity،Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1144710
Modern Language Association (MLA)
Monwanou, A. V.…[et al.]. Nonlinear Dynamics in a Chemical Reaction under an Amplitude-Modulated Excitation: Hysteresis, Vibrational Resonance, Multistability, and Chaos. Complexity No. 2020 (2020), pp.1-16.
https://search.emarefa.net/detail/BIM-1144710
American Medical Association (AMA)
Monwanou, A. V.& Koukpémèdji, A. A.& Ainamon, C.& Nwagoum Tuwa, P. R.& Miwadinou, C. H.& Chabi Orou, J. B.. Nonlinear Dynamics in a Chemical Reaction under an Amplitude-Modulated Excitation: Hysteresis, Vibrational Resonance, Multistability, and Chaos. Complexity. 2020. Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1144710
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1144710