Effects of Symmetric and Asymmetric Nonlinearity on the Dynamics of a Third-Order Autonomous Duffing–Holmes Oscillator
المؤلفون المشاركون
Njitacke, Zeric Tabekoueng
Kengne, Jacques
Doubla, Isaac Sami
Wafo Tekam, Raoul Blaise
Sanjong Dagang, Clotaire Thierry
المصدر
العدد
المجلد 2020، العدد 2020 (31 ديسمبر/كانون الأول 2020)، ص ص. 1-26، 26ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2020-12-14
دولة النشر
مصر
عدد الصفحات
26
التخصصات الرئيسية
الملخص EN
A generalized third-order autonomous Duffing–Holmes system is proposed and deeply investigated.
The proposed system is obtained by adding a parametric quadratic term mx2 to the cubic nonlinear term −x3 of an existing third-order autonomous Duffing–Holmes system.
This modification allows the system to feature smoothly adjustable nonlinearity, symmetry, and nontrivial equilibria.
A particular attention is given to the effects of symmetric and asymmetric nonlinearity on the dynamics of the system.
For the specific case of m=0, the system is symmetric and interesting phenomena are observed, namely, coexistence of symmetric bifurcations, presence of parallel branches, and the coexistence of four (periodic-chaotic) and six (periodic) symmetric attractors.
For m≠0, the system loses its symmetry.
This favors the emergence of other behaviors, such as the coexistence of asymmetric bifurcations, involving the coexistence of several asymmetric attractors (periodic-periodic or periodic-chaotic).
All these phenomena have been numerically highlighted using nonlinear dynamic tools (bifurcation diagrams, Lyapunov exponents, phase portraits, time series, frequency spectra, Poincaré section, cross sections of the attraction basins, etc.) and an analog computer of the system.
In fact, PSpice simulations of the latter confirm numerical results.
Moreover, amplitude control and synchronization strategies are also provided in order to promote the exploitation of the proposed system in engineering.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Doubla, Isaac Sami& Kengne, Jacques& Wafo Tekam, Raoul Blaise& Njitacke, Zeric Tabekoueng& Sanjong Dagang, Clotaire Thierry. 2020. Effects of Symmetric and Asymmetric Nonlinearity on the Dynamics of a Third-Order Autonomous Duffing–Holmes Oscillator. Complexity،Vol. 2020, no. 2020, pp.1-26.
https://search.emarefa.net/detail/BIM-1145192
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Doubla, Isaac Sami…[et al.]. Effects of Symmetric and Asymmetric Nonlinearity on the Dynamics of a Third-Order Autonomous Duffing–Holmes Oscillator. Complexity No. 2020 (2020), pp.1-26.
https://search.emarefa.net/detail/BIM-1145192
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Doubla, Isaac Sami& Kengne, Jacques& Wafo Tekam, Raoul Blaise& Njitacke, Zeric Tabekoueng& Sanjong Dagang, Clotaire Thierry. Effects of Symmetric and Asymmetric Nonlinearity on the Dynamics of a Third-Order Autonomous Duffing–Holmes Oscillator. Complexity. 2020. Vol. 2020, no. 2020, pp.1-26.
https://search.emarefa.net/detail/BIM-1145192
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1145192
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر