Approximate Analytical Solutions of A Nonlinear Oscillator Equation Modeling A Constrained Mechanical System

DOI10.5890/JAND.2017.03.002zbMath1495.70009MaRDI QIDQ5083732

Serge Bruno Yamgoué, B. Nana, François Béceau Pelap

Publication date: 20 June 2022

Published in: Journal of Applied Nonlinear Dynamics (Search for Journal in Brave)

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42)

Related Items (3)

Period-1 Evolutions to Chaos in a Periodically Forced Brusselator ⋮ Independent Period-2 Motions to Chaos in a van der Pol–Duffing Oscillator ⋮ Period-3 motions to chaos in an inverted pendulum with a periodic base movement

Cites Work

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• Construction of approximate analytical solutions to strongly nonlinear damped oscillators
• Application of a modified rational harmonic balance method for a class of strongly nonlinear oscillators
• An explicit approximate solution to the Duffing-harmonic oscillator by a cubication method
• Presenting a new method for the solution of nonlinear problems
• On the harmonic balance with linearization for asymmetric single degree of freedom non-linear oscillators
• About a class of nonlinear oscillators with amplitude-independent frequency
• Accurate higher-order analytical approximate solutions to large-amplitude oscillating systems with a general non-rational restoring force
• Straight-line backbone curve
• FOURIER REPRESENTATIONS FOR PERIODIC SOLUTIONS OF ODD-PARITY SYSTEMS
• Improved Lindstedt–Poincaré method for the solution of nonlinear problems
• Higher accuracy analytical approximations to the Duffing-harmonic oscillator
• FOURIER ANALYSIS OF A RATIONAL HARMONIC BALANCE APPROXIMATION FOR PERIODIC SOLUTIONS
• A New Approach to Nonlinear Oscillations
• Rational harmonic balance-based approximate solutions to nonlinear single-degree-of-freedom oscillator equations
• ANALYTICAL DYNAMICS OF PERIOD-m FLOWS AND CHAOS IN NONLINEAR SYSTEMS
• Analytical Routes of Period-1 Motions to Chaos in a Periodically Forced Duffing Oscillator with a Twin-well Potential
• Unstable and Stable Period-m Motions in a Twin-well Potential Duffing Oscillator
• A method for obtaining approximate analytic periods for a class of nonlinear oscillators

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