Existence of Self-Excited and Hidden Attractors in the Modified Autonomous Van Der Pol-Duffing Systems
نویسندگان
چکیده
This study investigates the multistability phenomenon and coexisting attractors in modified Autonomous Van der Pol-Duffing (MAVPD) system its fractional-order form. The analytical conditions for existence of periodic solutions integer-order via Hopf bifurcation are discussed. In addition, approximating fractional version to obtained theory systems. Moreover, technique hidden localization MAVPD is provided. Therefore, motivated by previous discussion, appearances self-excited explained integer- Phase transition quasi-periodic between systems observed. Throughout this study, complex dynamics also justified using some effective numerical measures such as Lyapunov exponents, diagrams basin sets attraction.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2023
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math11030591