Coexistence of multiple attractors in the tree dynamics

• Published in: Chaos, solitons and fractals Vol. 127; pp. 70 - 82
• Main Authors: Makenne, Y.L., Kengne, R., Pelap, F.B.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.10.2019
• Subjects: Chaotic robustness; Experimental searches; Isospike diagram; Mulistability; Pspice simulation; Mulistability; Pspice simulation; Chaotic robustness; Isospike diagram; Experimental searches
• ISSN: 0960-0779; 1873-2887
• DOI: 10.1016/j.chaos.2019.06.029

•We investigate the complex behavior of a plant under air flow through electrical analog circuit.•We use the isospike diagram to instantly inform how the chaotic behavior of the system occurs as its parameters change.•It appears a coexistence of multiple attractors in the system that makes its chaotic character less robust.•The obtained experimental results corroborate perfectly with the numerical ones established via Matlab and PSpice environments. This paper considers a specific plant (pinus family) and examines its complex behavior under the air flow while checking the real-time dynamics of the proposed analog electronic simulator with an active RC realization. It appears that the system can be chaotic and its dynamics depend on the chosen initial conditions. We show the coexistence of multiple attractors in the system and observe that their occurrence makes its chaotic character less robust. We also establish through the basin of attraction that the region of mixed-mode oscillations can be extended by increasing values of the wind amplitude ratio. Furthermore, the isospike diagram is introduced to instantly inform how the dynamics of the plant moves from periodic to chaotic motion as the main parameters of the wind augment all together. Our experimental searches yield results that are in perfect agreement with the numerical outcomes established via Matlab and Pspice environments. Those experimental surveys also display the coexistence of asymmetric and symmetric attractors that confirms the complex behavior of the plants subjected to the wind loads.