Determination of limit cycles for a modified \textit{van der Pol} oscillator
From MaRDI portal
Publication:986820
DOI10.1016/j.mechrescom.2005.06.012zbMath1192.70026OpenAlexW1988949325MaRDI QIDQ986820
Publication date: 12 August 2010
Published in: Mechanics Research Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mechrescom.2005.06.012
Related Items
AN INSIGHT ON THE (2 + 1)-DIMENSIONAL FRACTAL NONLINEAR BOITI–LEON–MANNA–PEMPINELLI EQUATIONS ⋮ He's ENERGY BALANCE AND He's VARIATIONAL METHODS FOR NONLINEAR OSCILLATIONS IN ENGINEERING ⋮ Nanovectors for drug delivery: long-lived pore dynamics for swelling liposomes ⋮ Frequency-amplitude relationship of nonlinear oscillators by He's parameter-expanding method ⋮ Singularity analysis of Duffing-Van der Pol system with two bifurcation parameters under multi-frequency excitations ⋮ Nonlinear free vibration and post-buckling analysis of functionally graded beams on nonlinear elastic foundation ⋮ Variational iteration method: New development and applications ⋮ Variational approach to solitary wave solution of the generalized Zakharov equation ⋮ Periodic solutions for some strongly nonlinear oscillations by He's variational iteration method ⋮ AN ELEMENTARY INTRODUCTION TO RECENTLY DEVELOPED ASYMPTOTIC METHODS AND NANOMECHANICS IN TEXTILE ENGINEERING ⋮ Limit cycle for the Brusselator by He's variational method ⋮ Self-excited systems: Analytical determination of limit cycles ⋮ Nonlinear oscillator with discontinuity by parameter-expansion method ⋮ Construction of approximate periodic solutions to a modified van der Pol oscillator ⋮ Approximate solutions to Van der Pol damped nonlinear oscillators by means of He's energy balance method ⋮ An improvement to homotopy perturbation method for solving system of linear equations ⋮ He's variational approach for nonlinear oscillators with high nonlinearity ⋮ Exact solution for nonlinear Schrödinger equation by He's frequency formulation ⋮ Periodic solutions for some strongly nonlinear oscillations by He's energy balance method ⋮ He's parameter-expanding methods for strongly nonlinear oscillators ⋮ Extended framework of Hamilton's principle applied to Duffing oscillation ⋮ Variational approach for nonlinear oscillators ⋮ Variational approach to the Benjamin Ono equation ⋮ SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS ⋮ Periodic solution for strongly nonlinear vibration systems by He's energy balance method ⋮ APPROXIMATE ANALYTICAL SOLUTIONS FOR THE RELATIVISTIC OSCILLATOR USING A LINEARIZED HARMONIC BALANCE METHOD ⋮ Solution of nonlinear cubic-quintic Duffing oscillators using He's energy balance method