Duffing harmonic oscillator is a common model for nonlinear phenomena in science and engineering. This paper presents He´s Energy Balance Method (EBM) for solving nonlinear differential equations. Two strong nonlinear cases have been studied analytically. Analytical results of the EBM are compared with the solutions obtained by using He´s Frequency Amplitude Formulation (FAF) and numerical solu...

Abstract Particles and fields are standard components in numerical calculations like transport simulations in nuclear physics and have well understood dynamics. Still, a common problem is the interaction between particles and fields due to their different formal description. Particle interactions are discrete, point-like events while field dynamics is described with continuous partial-different...

We study the dynamics of a comagnetometer based on an alkali-metal---noble-gas hybrid tri-spin system by numerically solving coupled Bloch equations. A thorough analysis response is carried out in standard experimental regime where spin can be mapped to damped harmonic oscillator. The results show that linear increasing signal found when noble-gas nuclear magnetization and alkali-metal lifetime...

Particles and fields are standard components in numerical calculations like transport simulations in nuclear physics and have well-understood dynamics. Still, a common problem is the interaction between particles and fields due to their different formal description. Particle interactions are discrete, pointlike events while field dynamics is described with continuous partial-differential equati...

Abstract The robustness of a chaos-suppressing scenario against potential mismatches is experimentally studied through the universal model damped, harmonically driven two-well Duffing oscillator subject to non-harmonic excitations. We consider second order analogous electrical circuit having an extremely simple that differs from standard model, and compare main theoretical predictions regarding...

the energy loss of a 3-dimensional harmonic oscillator due to the quadrupole radiation in quadratic f (r) gravity is calculated.

This paper deals with the application of a linear dynamic vibration absorber (DVA) to a piecewise linear beam system to suppress its first harmonic resonance. Both the undamped and the damped DVAs are considered. Results of experiments and simulations are presented and show good resemblance. It appears that the undamped DVA is able to suppress the harmonic resonance, while simultaneously many s...