1Laboratoire de Mécanique des Fluides, de la Dynamique Nonlinéaire et de la Modélisation des Systèmes Biologiques (LMFDNMSB); Institut de Mathématiques et de Sciences Physiques, Porto-Novo, Bénin
2Laboratoire de Physique et Applications (LPA), Université Nationale des Sciences, Technologiques, Ingénierie et Mathématiques (UNSTIM) Abomey, Bénin
3Institut National Supérieur des classes Préparatoires aux Etudes d’Ingénieur (INSPEI / UNSTIM) d’Abomey, Bénin;Laboratoire des Sciences, Ingénierie et Mathématiques (LSIMA/UNSTIM), Abomey, Bénin
International Journal of Physics.
2025,
Vol. 13 No. 1, 1-10
DOI: 10.12691/ijp-13-1-1
Copyright © 2025 Science and Education PublishingCite this paper: J. G. Houeto, B. N. Tokpohozin, C. H. Miwadinou, A. A. Koukpemedji, A. V. Monwanou. Chaotic and Coexistence Attractors of Classical Complex Exotic Oscillator with Position-Dependent Mass.
International Journal of Physics. 2025; 13(1):1-10. doi: 10.12691/ijp-13-1-1.
Correspondence to: C. H. Miwadinou, Laboratoire de Mécanique des Fluides, de la Dynamique Nonlinéaire et de la Modélisation des Systèmes Biologiques (LMFDNMSB); Institut de Mathématiques et de Sciences Physiques, Porto-Novo, Bénin. Email:
clement.miwadinou@imsp-uac.orgAbstract
This work analyzes the chaotic dynamics and the coexistence of attractors of the complex exotic oscillator. From the Hamiltonian of the basic system, the oscillator is obtained. The complete dynamics of the exotic oscillator is studied and the coexistence of attractors analyzed using fourth order Runge-Kutta algorithm. It is obtained for appropriate conditions the coexistence of chaotic and regular attractors. The study showed that for domains of values of the pair of parameters (a,b) of the exotic oscillator and given initial conditions, the dynamics of the system can be regular, or chaotic or can have very large amplitudes. The basins of attraction and the drawn phase portraits confirmed the PT symmetry and the breaking of this symmetry of the oscillator.
Keywords