Chaotic and Coexistence Attractors of Classical Complex Exotic Oscillator with Position-Dependent Mass

J. G. Houeto¹, B. N. Tokpohozin^{2, 3}, C. H. Miwadinou^{1, 2,} , A. A. Koukpemedji^{1, 2} and A. V. Monwanou¹

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

Cite this paper:
J. G. Houeto, B. N. Tokpohozin, C. H. Miwadinou, A. A. Koukpemedji and 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

Abstract

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:
Exotic oscillator Hamiltonian PT-symmetry chaos and bifurcation coexistence of attractors

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