BEHAVIOR OF HARMONICS GENERATED BY A DUFFING TYPE EQUATION WITH A NONLINEAR DAMPING: PART II

DOI10.1142/S0218127409023597zbMath1168.34325OpenAlexW4248516114MaRDI QIDQ3394416

Hédi Khammari, Christian Mira

Publication date: 31 August 2009

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127409023597

zbMATH Keywords

periodic solutionsordinary differential equationsnonlinear dynamicsduffing equationfractional harmonics bifurcation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Local and nonlocal bifurcation theory for dynamical systems (37G99) Nonautonomous smooth dynamical systems (37C60) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Cites Work

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• Bifurcation of periodic responses in forced dynamic nonlinear circuits: Computation of bifurcation values of the system parameters
• "CROSSROAD AREA–SPRING AREA" TRANSITION (I) PARAMETER PLANE REPRESENTATION
• Mathematical Problems of Nonlinear Dynamics: A Tutorial
• "CROSSROAD AREA–SPRING AREA" TRANSITION (II) FOLIATED PARAMETRIC REPRESENTATION
• ON THE "CROSSROAD AREA–SADDLE AREA" AND "CROSSROAD AREA–SPRING AREA" TRANSITIONS
• BEHAVIOR OF HARMONICS GENERATED BY A DUFFING TYPE EQUATION WITH A NONLINEAR DAMPING: PART I

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