Effects of Symmetric and Asymmetric Nonlinearity on the Dynamics of a Third-Order Autonomous Duffing–Holmes Oscillator

• Published in: Complexity (New York, N.Y.) Vol. 2020; no. 2020; pp. 1 - 26
• Main Authors: Njitacke, Zeric Tabekoueng, Wafo Tekam, Raoul Blaise, Kengne, Jacques, Doubla, Isaac Sami, Sanjong Dagang, Clotaire Thierry
• Format: Journal Article
• Language: English
• Published: Cairo, Egypt Hindawi Publishing Corporation 14.12.2020; Hindawi; John Wiley & Sons, Inc; Wiley
• Subjects: Analog computers; Asymmetry; Bifurcations; Chaos theory; Dynamical systems; Frequency spectrum; Investigations; Liapunov exponents; Nonlinear dynamics; Nonlinearity; Symmetry; Synchronism; Cameroon

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 t...