Keywords: معادله Van der Pol; Non-simultaneous failure; Ice-structure interaction; Ice failure zone; Van der Pol equation;
مقالات ISI معادله Van der Pol (ترجمه نشده)
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Keywords: معادله Van der Pol; Nonlinear oscillations; Duffing equation; Van der Pol equation; Struble's technique; Multiple time scale method;
Keywords: معادله Van der Pol; Cavitation; van der Pol equation; Reduced-order modeling; Frequency modulation; Hydrofoil; Parametric resonance
Keywords: معادله Van der Pol; Combustion problem; Decomposition technique; Van der Pol equation; Iterative methods; Efficiency index; Streering problem
Keywords: معادله Van der Pol; Region of attraction; Sum of squares programming; Lyapunov stability; Polynomial nonlinear systems; Van der Pol equation;
Keywords: معادله Van der Pol; Vortex-Induced vibration; Circular cylinder; Van der Pol equation; Amplitude displacement
New aspects of the orbital normal form of the Hopf singularity: The Rayleigh and the van der Pol forms
Keywords: معادله Van der Pol; Normal forms; Hopf bifurcation; Rayleigh equation; Van der Pol equation;
The estimate of the amplitude of limit cycles of symmetric Liénard systems
Keywords: معادله Van der Pol; 34C07; 34C05; 34C14; Liénard system; Limit cycles; Van der Pol equation;
A dynamic ice-structure interaction model for ice-induced vibrations by using van der pol equation
Keywords: معادله Van der Pol; Ice-structure interaction; Ice-induced vibrations; Van der Pol equation; Frequency lock-in; Resonance;
A new stable splitting for singularly perturbed ODEs
Keywords: معادله Van der Pol; IMEX; Splittings; van der Pol equation; Stiff equations
Normal forms of non-resonance and weak resonance double Hopf bifurcation in the retarded functional differential equations and applications
Keywords: معادله Van der Pol; Double Hopf bifurcation; Normal forms; Center manifold reduction; van der Pol equation; Delayed position and velocity feedback
High order variable mesh off-step discretization for the solution of 1-D non-linear hyperbolic equation
Keywords: معادله Van der Pol; Variable mesh; Non-linear hyperbolic equation; High order method; Off-step discretization; Wave equation in polar coordinates; Van der Pol equation; Dissipative equation; Maximum absolute errors;
Chatter dynamic analysis for Van der Pol Equation with impulsive effect via the theory of flow switchability
Keywords: معادله Van der Pol; Pulse phenomena; Van der Pol Equation; Vibration; Discontinuous; Transversal
Bifurcation of discontinuous limit cycles of the Van der Pol equation
Keywords: معادله Van der Pol; 34A37; 34C23; 34C25; 37G15; 37N20Discontinuous limit cycle; Van der Pol equation; Hopf bifurcation; Coupled oscillators; Center manifold
Haar wavelet operational methods for the numerical solutions of fractional order nonlinear oscillatory Van der Pol system
Keywords: معادله Van der Pol; Haar wavelets; Operational matrix; Block pulse function; Van der Pol equation; Fractional derivative;
A new modification of the variational iteration method for van der Pol equations
Keywords: معادله Van der Pol; Van der Pol equation; Variational iteration method; He’s polynomials
Models and numerical schemes for generalized van der Pol equations
Keywords: معادله Van der Pol; van der Pol equation; Generalized operators; Limit cycle; Fractional calculus; Numerical solution
An algorithm for the numerical solution of nonlinear fractional-order Van der Pol oscillator equation
Keywords: معادله Van der Pol; Numerical solution; Fractional derivative; Van der Pol equation
Van der Pol-type equation for modeling vortex-induced oscillations of bridge decks
Keywords: معادله Van der Pol; Vortex-induced vibrations; Lock-in; Rectangular cylinder; Bridges; Van der Pol equation; Wind-tunnel tests
A modified wake oscillator model for vortex-induced vibration of circular cylinders for a wide range of mass-damping ratio
Keywords: معادله Van der Pol; VIV; Wake oscillator model; van der Pol equation; Griffin plot
A study of homotopy analysis method for limit cycle of van der Pol equation
Keywords: معادله Van der Pol; 05.45.-aHomotopy analysis method; van der Pol equation; Limit cycle; Computational effort
On algorithms for estimating computable error bounds for approximate periodic solutions of an autonomous delay differential equation
Keywords: معادله Van der Pol; 02.30.Ks; 02.30.Mv; 02.30.Sa; 02.30.Tb; 02.70.Hm; 02.70.Jn; Delay differential equations; Error bounds; Periodic solutions; Van der Pol equation;
High aspect ratio (L/D) riser VIV prediction using wake oscillator model
Keywords: معادله Van der Pol; Vortex-induced vibration; Riser; Aspect ratio; van der Pol equation; Wake oscillator
Horizontal fast excitation in delayed van der Pol oscillator
Keywords: معادله Van der Pol; 05.10.−a; 45.80.+rFast parametric excitation; van der Pol equation; Limit cycle; Time delay; Averaging
Asymptotic Harmonic Generator Design Via Modification of Van Der Pol Oscillator
Keywords: معادله Van der Pol; Variable structure control; orbital stabilization; Van der Pol equation
Periodic solutions for van der Pol equation with time delay
Keywords: معادله Van der Pol; Periodic solution; Time delay; van der Pol equation; Linear chain trick; Geometric singular perturbation theory; Inertial manifold
Anticontrol of chaos of the fractional order modified van der Pol systems
Keywords: معادله Van der Pol; Chaos; Fractional order system; van der Pol equation; Modified van der Pol system; Anticontrol
Accurate higher-order analytical approximate solutions to nonconservative nonlinear oscillators and application to van der Pol damped oscillators
Keywords: معادله Van der Pol; Nonlinear oscillation; Linearization; Harmonic balance; The method of averaging; Van der Pol equation
Hopf bifurcation and stability of periodic solutions for van der Pol equation with time delay
Keywords: معادله Van der Pol; Van der Pol equation; Time delay; Hopf bifurcation; Periodic solutions;