|
|||||
|
|
Modeling nonlinear dissipative chemical dynamics by a forced modified Van der Pol-Duffing oscillator with asymmetric potential: Chaotic behaviors predictions |
|
| Authors: | C.H. Miwadinou A.V. Monwanou J. Yovogan L.A. Hinvi P.R. Nwagoum Tuwa J.B. Chabi Orou |
| Affiliation: | 2. Département de Physiques, Université Nationale des Sciences, Technologiques, Ingénierie et Mathématiques (UNSTIM) Abomey, Ecole Normale Supérieure (ENS) Natitingou, Benin;3. Université Nationale des Sciences, Technologiques, Ingénierie et Mathématiques (UNSTIM) Abomey, Bénin;4. Département des Sciences Industrielles et Techniques, IUT-Lokossa, Université Nationale des Sciences, Technologiques, Ingénierie et Mathématiques (UNSTIM) Abomey, Benin;5. Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes and TWAS research unit, Faculty of Science, University of Yaound I, P.O. 812, Yaound, Cameroon |
| Abstract: | This paper addresses the issues of nonlinear chemical dynamics modeled by a modified Van der Pol-Duffing oscillator with asymmetric potential. The Melnikov method is utilized to analytically determine the domains boundaries where Melnikov’s chaos appears in chemical oscillations. Routes to chaos are investigated through bifurcations structures, Lyapunov exponent, phase portraits and Poincaré section. The effects of parameters in general and in particular the effect of the constraint parameter β which shows the difference between a nonlinear chemical dynamics order two differential equation and ordinary Van der Pol-Duffing equation are analyzed. Results of analytical investigations are validated and complemented by numerical simulations. |
| Keywords: | Forced modified Van der Pol-Duffing oscillator Nonlinear dissipative chemical dynamics Melnikov’s chaos Bifurcation Basin of attraction Dissipative chaos |
| 本文献已被 ScienceDirect 等数据库收录！ | |