Duffing oscillator
Bifurcations of the Van der Pol–Duffing Oscillator
... of Duffing and van der Pol oscillators with the dependence on exciting frequency is shown for different values of exciting ...the Duffing oscillator the computation of fundamental resonance with the ...
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Hybrid Control to Approach Chaos Synchronization of Uncertain DUFFING Oscillator Systems with External Disturbance
... chaotic Duffing oscillator system, subject to uncertainties and external ...chaotic Duffing oscillator systems through the application of a single control ...
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On the Krasnoselskii’s Fixed Point Theorem and the Existence of Periodic Solution for a Damped and Forced Duffing Oscillator
... Duffing oscillator is a second order nonlinear differential equation used to model dynamics of special types of mechanical and electrical ...of Duffing in [1] which has a cubic nonlinearity and ...
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FRACTAL CHARACTERIZATION AND COMPARISON OF CHAOS IMPACT OF EXCITED DUFFING OSCILLATOR PARAMETERS
... excited Duffing oscillator using fractal disk dimension characterization and ...of Duffing oscillator beyond unsteady periods was employed to create scatter phase plots at every end of ...
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Analysis of a duffing oscillator that exhibits hysteresis with varying excitation frequency and amplitude
... Although the response curves are useful in identifying the operating values associated with initiating hysteresis in the Duffing oscillator and in assessing the magnitude of the jumps, they mainly provide ...
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Existence of Chaotic Phenomena in a Single Well Duffing Oscillator under Parametric Excitations
... The objectives of this paper therefore are to investigate the existence of chao- tic behavior in a single-well Duffing oscillator forced by parametric excitations. The rest of the paper is organized as ...
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Response’s Probabilistic Characteristics of a Duffing Oscillator under Harmonic and Random Excitations
... Pol oscillator under harmonic and white noise ...the Duffing oscillator. In [22], Anh and Hieu investigated Duffing oscillator under periodic and random excitations by the averaging and ...
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The Fractional Order Duffing Oscillator Detection Method for Nanovolt Level Weak Signal
... order Duffing oscillator ...order Duffing equation obtained a mathematical model of IMFR-Duffing ...order Duffing oscillator verify the effectiveness of the proposed method, and ...
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Research on Weak Signal Detection with Duffing Oscillator Based on Virtual Instrument Technology
... Particularly, we discovered that the chaos detection method based on Duffing oscillator was especially suited for downhole acoustic telemetry system. But most studies are still at the stage of theory ...
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Weak Signal Detection Research Based on Duffing Oscillator Used for Downhole Communication
... the Duffing oscillator weak signal detection method for the downhole acoustic telemetry ...the Duffing equation, analyzed the dynamics characteristic of Duffing oscillator and weak ...
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Analytical approximate solutions for the Helmholtz Duffing oscillator
... Helmholtz oscillator has received considerable attention especially in the last decade in nonlinear sciences and ...Helmholtz-Duffing oscillator was studied by Cao et ...
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Investigation of Selected Versions of Fourth Order Runge-Kutta Algorithms as Simulation Tools for Harmonically Excited Duffing Oscillator
... equation, the exact solution of the undamped, unforced Duffing equation is well known in Literature [6], however, for other forms of the equation, approximate or numerical methods of solution are required. For ...
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Probabilistic Approach in the Investigation of the Dynamics of a Duffing Oscillator
... the oscillator, and since we have a closed-form expression for the PDF evolution over time, the behavior of the Duffing oscillator can be easily mapped ...
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Stability Analysis of Damped Cubic Quintic Duffing Oscillator
... cubic Duffing oscillator which can be used to model conserva- tive double well oscillators which can occur in magneto- elastic mechanical systems ...cubic Duffing equation can as well be used to ...
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Chaotic Dynamics of an Extended Duffing Oscillator Under Periodic Excitation
... Abstract: In this paper, chaotic dynamics of a cubic-quintic-septic Duffing oscillator subjected to periodic excitation is investigated. The multiple scales method is used to determine the various resonance ...
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An Analogue Circuit to Study the Forced and Quadratically Damped Mathieu-Duffing Oscillator
... Mathieu-Duffing oscillator. We designed the equivalent circuit of Matheiu-Duffing oscillator in PSpice and observed its dynamical behavior under various sets of control ...
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A local differential transform approach for the cubic nonlinear Duffing oscillator with damping term
... The DTM was rst presented by Zhou [21], and the method was then used to solve dierential equa- tions occurred in electric circuit analysis. The DTM has been extensively studied by various researchers for obtaining ...
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Comparison of harmonic balance and multiple scale method on degree of nonlinearity for duffing oscillator
... The characteristics of the graph appears to be similar to Figure4 where the frequency curve attained from harmonic balance method apt to tilt to the right at a higher degree than that of[r] ...
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Nonlinear-damped Duffing oscillators having finite time dynamics
... Abstract. A class of modified Duffing oscillator differential equations, having nonlinear damping forces, are shown to have finite time dynamics, i.e., the solutions oscillate with only a finite number of ...
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A New Method for the Exact Solution of Duffing Equation
... cubic-quintic Duffing oscillator, Helmholtz–Duffing oscillator, and nonlinear Schrödinger equation are ...impulsive Duffing equa- tion, and then found the possibility of applying a ...
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