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المؤلفRamesh, Arthanari
المؤلفBahramian, Alireza
المؤلفNatiq, Hayder
المؤلفRajagopal, Karthikeyan
المؤلفJafari, Sajad
المؤلفHussain, Iqtadar
تاريخ الإتاحة2022-05-30T05:44:49Z
تاريخ النشر2022-01-01
اسم المنشورComplexity
المعرّفhttp://dx.doi.org/10.1155/2022/6279373
الاقتباسArthanari Ramesh, Alireza Bahramian, Hayder Natiq, Karthikeyan Rajagopal, Sajad Jafari, Iqtadar Hussain, "A Novel Highly Nonlinear Quadratic System: Impulsive Stabilization, Complexity Analysis, and Circuit Designing", Complexity, vol. 2022, Article ID 6279373, 14 pages, 2022. https://doi.org/10.1155/2022/6279373
الرقم المعياري الدولي للكتاب10762787
معرّف المصادر الموحدhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85128466456&origin=inward
معرّف المصادر الموحدhttp://hdl.handle.net/10576/31645
الملخصThis work introduces a three-dimensional, highly nonlinear quadratic oscillator with no linear terms in its equations. Most of the quadratic ordinary differential equations (ODEs) such as Chen, Rossler, and Lorenz have at least one linear term in their equations. Very few quadratic systems have been introduced and all of their terms are nonlinear. Considering this point, a new quadratic system with no linear term is introduced. This oscillator is analyzed by mathematical tools such as bifurcation and Lyapunov exponent diagrams. It is revealed that this system can generate different behaviors such as limit cycle, torus, and chaos for its different parameters' sets. Besides, the basins of attractions for this system are investigated. As a result, it is revealed that this system's attractor is self-excited. In addition, the analog circuit of this oscillator is designed and analyzed to assess the feasibility of the system's chaotic solution. The PSpice simulations confirm the theoretical analysis. The oscillator's time series complexity is also investigated using sample entropy. It is revealed that this system can generate dynamics with different sample entropies by changing parameters. Finally, impulsive control is applied to the system to represent a possible solution for stabilizing the system.
اللغةen
الناشرHindawi
الموضوعLyapunov methods
Nonlinear equations
Ordinary differential equations
Oscillators (electronic)
Timing circuits
العنوانA Novel Highly Nonlinear Quadratic System: Impulsive Stabilization, Complexity Analysis, and Circuit Designing
النوعArticle
رقم المجلد2022
ESSN1099-0526
dc.accessType Open Access


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