Keywords: معادله Duffing; Bifurcation analysis; Hybrid system; Nonlinear resonance; Duffing equation; Devil's staircase; Chaos;
مقالات ISI معادله Duffing (ترجمه نشده)
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Keywords: معادله Duffing; Nonlinear oscillations; Duffing equation; Van der Pol equation; Struble's technique; Multiple time scale method;
Keywords: معادله Duffing; Duffing equation; Asymptotic behavior; Dissipative hyperbolic equation; Magneto-elastic oscillations;
Keywords: معادله Duffing; Nonlinear torsional resonator; Dynamic range; Hardening effect; Duffing equation; Perturbations method;
Keywords: معادله Duffing; Variational iteration method; Volterra integral equation; Duffing equation; Numerical solution
Keywords: معادله Duffing; Duffing equation; Oscillation; Fractional order differential equation; Parameter range; Describing function method;
Keywords: معادله Duffing; Nonlinear oscillator; Duffing equation; Struble’s technique; Homotopy perturbation method
Keywords: معادله Duffing; Antiperiodic oscillations; Duffing equation; Similarity function
Keywords: معادله Duffing; Duffing equation; Legendre wavelet; Operational matrix of derivative; Integral and non-integral forcing terms
Keywords: معادله Duffing; Perturbation methods; New variable transformation; Duffing equation; Lindstedt Poincare method; Multiple scales method; Numerical solutions;
Keywords: معادله Duffing; Multiple scale time domain collocation method; Duffing equation; Ill-posedness; Multiple scale differential transformation method;
On multivalued Duffing equation
Keywords: معادله Duffing; Duffing equation; Differential inclusion; Kakutani-Ky Fan-Glicksberg fixed point theorem;
Quartic double-well system modulation for under-damped stochastic resonance tuning
Keywords: معادله Duffing; Stochastic resonance; Weak signal detection; Duffing equation; Nonlinear system; Autocorrelation
Analytical and numerical solution to the nonlinear cubic Duffing equation: An application to electrical signal analysis of distribution lines
Keywords: معادله Duffing; Duffing equation; Jacobi elliptic functions; Elliptic functions; Fixed points; Electrical signal;
A frequency domain analysis of the effects of nonlinear damping on the Duffing equation
Keywords: معادله Duffing; Vibration isolation; Passive control; Duffing equation; Frequency domain
Analytical modeling to predict the low velocity impact response of circular GLARE fiber-metal laminates
Keywords: معادله Duffing; GLARE; Fiber-metal laminate; Impact; Circular plate; Duffing equation;
Force and displacement transmissibility of a nonlinear isolator with high-static-low-dynamic-stiffness
Keywords: معادله Duffing; Vibration isolation; Nonlinear stiffness; Duffing equation; Nonlinear transmissibility; HSDLS;
Chaotic period-doubling and OGY control for the forced Duffing equation
Keywords: معادله Duffing; Duffing equation; Period-doubling cascade; OGY control method; Chaotic attractor; Lyapunov exponents; Pulse functions
Numerical solutions of Duffing equations involving both integral and non-integral forcing terms
Keywords: معادله Duffing; Improved variational iteration method; Duffing equation; Integral and non-integral forcing terms
Explicit and exact solutions to cubic Duffing and double-well Duffing equations
Keywords: معادله Duffing; Duffing equation; Double-well Duffing equation; Quotient trigonometric function;
Novel existence and uniqueness criteria for periodic solutions of a Duffing type p-Laplacian equation
Keywords: معادله Duffing; p-Laplacian; Periodic solutions; Duffing equation
Problems of periodic solutions for a type of Duffing equation with state-dependent delay
Keywords: معادله Duffing; 34B15; 34B13Neutral; Duffing equation; Periodic solution; Mawhin’s continuation theorem
Approximation of solutions for an initial and terminal value problem for the forced Duffing equation with non-viscous damping
Keywords: معادله Duffing; Initial and terminal value problem; Duffing equation; Non-viscous damping; Quasilinearization; Quadratic convergence
The existence and uniqueness of periodic solutions for a kind of Duffing-type equation with two deviating arguments
Keywords: معادله Duffing; 34C25; 34K13Periodic solutions; Duffing equation; Continuation theorem; Existence; Uniqueness
Analysis of the nonlinear vibration of a two-mass–spring system with linear and nonlinear stiffness
Keywords: معادله Duffing; Nonlinear stiffness; Two-mass system; Two-degree-of-freedom oscillation systems; Duffing equation; Variational approach
Boundedness of solutions for asymmetric Duffing equations
Keywords: معادله Duffing; Quasiperiodic solution; Duffing equation; Moser's small twist theorem; Boundedness;
On the solution of strong nonlinear oscillators by applying a rational elliptic balance method
Keywords: معادله Duffing; Jacobian elliptic functions; Nonlinear oscillators; Rational elliptic forms; Harmonic balance; Duffing equation
Periodic solutions for a kind of Duffing type pp-Laplacian equation
Keywords: معادله Duffing; 34K15; 34C25pp-Laplacian; Periodic solutions; Duffing equation; Manásevich–Mawhin continuation theorem
New method based on the HPM and RKHSM for solving forced Duffing equations with integral boundary conditions
Keywords: معادله Duffing; Duffing equation; Integral boundary conditions; Homotopy perturbation method; Reproducing kernel Hilbert space method
Existence of approximate solutions of the forced Duffing equation with discontinuous type integral boundary conditions
Keywords: معادله Duffing; Duffing equation; Integral boundary conditions; Quasilinearization; Quadratic convergence
An application of single-term Haar wavelet series in the solution of nonlinear oscillator equations
Keywords: معادله Duffing; STHWS; Operational matrix; Block pulse and discrete solutions; Gill’s method; Duffing equation; Painleve’s transcendents
Newton–harmonic balancing approach for accurate solutions to nonlinear cubic–quintic Duffing oscillators
Keywords: معادله Duffing; Newton’s method; Harmonic Balance method; Duffing equation
Existence and uniqueness of periodic solutions for a kind of duffing type p-Laplacian equation
Keywords: معادله Duffing; 34K15; 34C25pp-Laplacian; Periodic solutions; Duffing equation; Manasevich–Mawhin continuation theorem
On periodic solutions of differential equations with piecewise constant argument
Keywords: معادله Duffing; Quasilinear systems; Piecewise constant arguments of generalized type; The small parameter; Periodic solutions; Critical case; Duffing equation
A Duffing oscillator algorithm to detect the weak chromatographic signal
Keywords: معادله Duffing; Duffing equation; Signal-to-noise ratio; Weak signal; Liquid chromatography
A new method based on the harmonic balance method for nonlinear oscillators
Keywords: معادله Duffing; Nonlinear oscillator; Harmonic balance method; Duffing equation; Duffing-harmonic equation; Arbitrary initial conditions; Uniformly valid
Existence and uniqueness of periodic solutions for a kind of Duffing equation with two deviating arguments
Keywords: معادله Duffing; Duffing equation; Deviating argument; Periodic solution; Coincidence degree;
Motional coherence during resonance ejection of ions from Paul traps
Keywords: معادله Duffing; Paul trap; Duffing equation; Multiple scales; Coherence; Resonance ejection;
Applications of chaotic oscillator in machinery fault diagnosis
Keywords: معادله Duffing; Chaotic oscillator; Duffing equation; Weak signal detection; Symbol sequence statistics; Fault diagnosis; Rolling bearings; Gearboxes
Obrechkoff one-step method fitted with Fourier spectrum for undamped Duffing equation
Keywords: معادله Duffing; 02.30.Hq; 02.60.Cb; 02.70.-cFourier-series-fitted numerical method; Obrechkoff single-step; High-derivative method; Duffing equation
Numerical solution of Duffing equation by the Laplace decomposition algorithm
Keywords: معادله Duffing; A Laplace decomposition algorithm; Duffing equation; Maple; Pade approximant;
Trigonometrically-fitted method with the Fourier frequency spectrum for undamped Duffing equation
Keywords: معادله Duffing; 02.60.Cb; 02.60.Lj; 02.70.BfTrigonometric fitting; Multi-frequency; Nonlinear periodic initial value problem; Duffing equation; Fourier series; Numerov methods
A decoupled modal form Duffing equation for an orthotropic laminate in a clamped boundary condition with thermal diffusion
Keywords: معادله Duffing; Laminate non-linear dynamics; Non-linear thermo-elasticity; Thermal vibration; Duffing equation
Periodic solutions of Duffing equations with semi-quadratic potential and singularity
Keywords: معادله Duffing; Duffing equation; Periodic solution; Singularity
Non-linear dynamic response of a thin laminate subject to non-uniform thermal field
Keywords: معادله Duffing; Non-linear dynamics; Laminate; Duffing equation; Thermal vibration
A decoupled modal analysis for nonlinear dynamics of an orthotropic thin laminate in a simply supported boundary condition subject to thermal mechanical loading
Keywords: معادله Duffing; Laminate nonlinear dynamics; Nonlinear thermal buckling and vibration; Chaos; Duffing equation
Periodic Duffing delay equations with state dependent impulses
Keywords: معادله Duffing; Periodic solutions; Duffing equation; Delay equation; State dependent impulses; Generalized functions;