Effect of an amplitude modulated force on vibrational resonance, chaos, and multistability in a modified Van der Pol-Duffing oscillator DOI Open Access
C. H. Miwadinou,

L. A. Hinvi,

Cyrille Ainamon

et al.

The Journal of Nonlinear Sciences and Applications, Journal Year: 2023, Volume and Issue: 16(02), P. 111 - 122

Published: July 31, 2023

This paper deals with the effects of an amplitude modulated (AM) excitation on nonlinear dynamics reactions between four molecules.The computation fixed points autonomous chemical system has been made in detail using Cardan's method.Routes to chaos have investigated through bifurcations structures, Lyapunov exponent and phase portraits.The control force chaotic motions strongly analyzed efficiency is found cases g = 0 (unmodulated case), Ω nω; n a natural number ω p q ; are simple positive integers.Vibrational Resonance (VR), hysteresis coexistence several attractors studied details based relationship frequencies AM force.Results analytical investigations validated complemented by numerical simulations.

Language: Английский

Solutions of an extended Duffing-van der Pol equation with variable coefficients DOI
O. Cornejo-Pérez, P. Albares, J. Negro

et al.

Physica D Nonlinear Phenomena, Journal Year: 2025, Volume and Issue: unknown, P. 134675 - 134675

Published: April 1, 2025

Language: Английский

Citations

0
Effect of an amplitude modulated force on vibrational resonance, chaos, and multistability in a modified Van der Pol-Duffing oscillator DOI Open Access
C. H. Miwadinou,

L. A. Hinvi,

Cyrille Ainamon

et al.

The Journal of Nonlinear Sciences and Applications, Journal Year: 2023, Volume and Issue: 16(02), P. 111 - 122

Published: July 31, 2023

This paper deals with the effects of an amplitude modulated (AM) excitation on nonlinear dynamics reactions between four molecules.The computation fixed points autonomous chemical system has been made in detail using Cardan's method.Routes to chaos have investigated through bifurcations structures, Lyapunov exponent and phase portraits.The control force chaotic motions strongly analyzed efficiency is found cases g = 0 (unmodulated case), Ω nω; n a natural number ω p q ; are simple positive integers.Vibrational Resonance (VR), hysteresis coexistence several attractors studied details based relationship frequencies AM force.Results analytical investigations validated complemented by numerical simulations.

Language: Английский

Citations

0