Novel Hyperbolic Homoclinic Solutions of the Helmholtz-Duffing Oscillators
Shock and Vibration, 2016 The exact and explicit homoclinic solution of the undamped Helmholtz-Duffing oscillator is derived by a presented hyperbolic function balance procedure.
Yang-Yang Chen +2 more
doaj +1 more source
Analytical Solution for the Cubic-Quintic Duffing Oscillator Equation with Physics Applications
Complexity, 2022 The nonlinear differential equation governing the periodic motion of the one-dimensional, undamped, and unforced cubic-quintic Duffing oscillator is solved exactly by obtaining the period and the solution.
Alvaro H. Salas +2 more
doaj +1 more source
Energy Partition Oscillator and Necessary and Sufficient Conditions of Energy Localization
MATEC Web of Conferences, 2012 A strongly nonlinear conservative oscillator describing the dynamics of energy partition between two identical linearly coupled Duffing oscillators is introduced and analyzed.
Pilipchuk V.N.
doaj +1 more source
Signatures of chaotic and non-chaotic-like behaviour in a non-linear quantum oscillator through photon detection [PDF]
, 2005 The driven non-linear duffing osillator is a very good, and standard, example of a quantum mechanical system from which classical-like orbits can be recovered from unravellings of the master equation.
A. R. Bulsara +11 more
core +2 more sources
Dynamic Analysis of Modified Duffing System via Intermittent External Force and Its Application
Applied Sciences, 2019 Over the past century, a tremendous amount of work on the Duffing system has been done with continuous external force, including analytical and numerical solution methods, and the dynamic behavior of physical systems.
Jianbin He, Jianping Cai
doaj +1 more source
Communications, 2013 The study in this paper is focused on the applications of the chaotic Duffing oscillator to signal masking communication scheme. Using the concept of synchronized chaotic systems the signal masking approach is demonstrated with the Duffing oscillator ...
Galina Cherneva, Elena Dimkina
doaj +1 more source
On Artifacts in Nonlinear Dynamics [PDF]
, 2017 Nonlinear oscillations are of permanent interest in the field of dynamics of mechanical and mechatronical systems. There exist several well-known semi-analytical methods like Harmonic Balance, perturbation analysis or multiple scales for such problems ...
Lentz, Lukas, Wagner, Utz von
core +1 more source
Bifurcation and chaos in the double well Duffing-van der Pol oscillator: Numerical and analytical studies [PDF]
, 1997 The behaviour of a driven double well Duffing-van der Pol (DVP) oscillator for a specific parametric choice ($\mid \alpha \mid =\beta$) is studied. The existence of different attractors in the system parameters ($f-\omega$) domain is examined and a ...
Lakshmanan, M., Venkatesan, A.
core +2 more sources
Noise-induced reentrant transition of the stochastic Duffing oscillator [PDF]
, 2004 We derive the exact bifurcation diagram of the Duffing oscillator with parametric noise thanks to the analytical study of the associated Lyapunov exponent.
Mallick, Kirone, Marcq, Philippe
core +5 more sources
Rare quantum metastable states in the strongly dispersive Jaynes-Cummings oscillator [PDF]
, 2018 We present evidence of metastable rare quantum-fluctuation switching for the driven dissipative Jaynes-Cummings oscillator coupled to a zero-temperature bath in the strongly dispersive regime.
Asari, U. +5 more
core +3 more sources