Limit cycles of non-smooth oscillators
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Publication:928096
DOI10.1016/j.amc.2007.10.035zbMath1153.34022OpenAlexW2007236364MaRDI QIDQ928096
Publication date: 11 June 2008
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2007.10.035
nonlinear oscillationsartificial parametergeneralized functionsLinstedt-Poincaré techniquenonsmooth oscillators
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)
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Cites Work
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- Piecewise-linearized methods for oscillators with limit cycles
- An analytical approximate technique for a class of strongly non-linear oscillators
- Solving frontier problems of physics: the decomposition method
- Approximate period of nonlinear oscillators with discontinuities by modified Lindstedt--Poincaré method
- Nonlinear trigonometric approximation and the Dirac delta function
- Nonlinear oscillator with discontinuity by parameter-expansion method
- Determination of periodic orbits of nonlinear oscillators by means of piecewise-linearization methods
- Oscillators with a generalized power-form elastic term
- A modified method of equivalent linearization that works even when the non-linearity is not small
- OSCILLATIONS IN AN x4/3POTENTIAL
- OSCILLATIONS OF NON-LINEAR SYSTEM WITH RESTORING FORCE CLOSE TO SIGN(X)
- ANALYSIS OF NON-LINEAR OSCILLATORS HAVING NON-POLYNOMIAL ELASTIC TERMS
- OSCILLATIONS IN AN x(2m+2)/(2n+1) POTENTIAL
- Frequencies of oscillators with fractional-power non-linearities
- GENERALIZED HARMONIC BALANCE/NUMERICAL METHOD FOR DETERMINING ANALYTICAL APPROXIMATIONS TO THE PERIODIC SOLUTIONS OF THE x4/3 POTENTIAL
- A convolution integral method for certain strongly nonlinear oscillators
- A classical iteration procedure valid for certain strongly nonlinear oscillators
- Piecewise-linearized methods for oscillators with fractional-power nonlinearities
- Determination of periodic solution for a u1/3 force by He's modified Lindstedt–Poincaré method
- Iteration method solutions for conservative and limit-cycle force oscillators
- Solution of a quadratic nonlinear oscillator by the method of harmonic balance
- Solutions of nonlinear oscillators with fractional powers by an iteration procedure
- Derivatives of the Dirac delta function by explicit construction of sequences
- Perturbation methods and non-linear hyperbolic waves
- AN EXPLICIT FORM GENERAL SOLUTION FOR OSCILLATORS WITH A NON-SMOOTH RESTORING FORCE,ẍ+sign(x)f(x)=0
- Theories and Applications of Generalized Functions
- The theory of generalized functions
