Stochastic bifurcations in a bistable Duffing--Van der Pol oscillator with colored noise

Y Xu, R Gu, H Zhang, W Xu, J Duan - Physical Review E, 2011 - APS
This paper aims to investigate Gaussian colored-noise-induced stochastic bifurcations and
the dynamical influence of correlation time and noise intensity in a bistable Duffing–Van der …

Bifurcations of fuzzy nonlinear dynamical systems

L Hong, JQ Sun - Communications in Nonlinear Science and Numerical …, 2006 - Elsevier
We present some recent developments of the fuzzy generalized cell mapping method
(FGCM) in this paper. The topological property of the FGCM and its finite convergence of …

Dynamics and energy generation of a hybrid energy harvester under colored noise excitations

T Yang, Q Cao - Mechanical Systems and Signal Processing, 2019 - Elsevier
A hybrid energy harvester combining piezoelectric and electromagnetic transduction
mechanisms is presented, which can be extensively applied in harvest vibration energy …

Stochastic P-bifurcation analysis of a class of nonlinear Markov jump systems under combined harmonic and random excitations

W Wei, W Xu, J Liu - Physica A: Statistical Mechanics and its Applications, 2021 - Elsevier
Stochastic Markov jump systems are commonly used to describe complicate practical
systems with switching structures such as power plants and communication networks. This …

Investigations on the bifurcation of a noisy Duffing–van der Pol oscillator

P Kumar, S Narayanan, S Gupta - Probabilistic Engineering Mechanics, 2016 - Elsevier
This study carried out investigations on the bifurcation characteristics of a Duffing–Van der
Pol (DVDP) oscillator subjected to white noise excitations. Dynamical (or D-) bifurcations are …

Most probable escape paths in periodically driven nonlinear oscillators

L Cilenti, M Cameron, B Balachandran - Chaos: An Interdisciplinary …, 2022 - pubs.aip.org
The dynamics of mechanical systems, such as turbomachinery with multiple blades, are
often modeled by arrays of periodically driven coupled nonlinear oscillators. It is known that …

Influence of transient escape and added load noise on the dynamic integrity of multistable systems

D Orlando, PB Gonçalves, G Rega, S Lenci - International Journal of Non …, 2019 - Elsevier
Abstract Concepts and tools of global dynamics play a meaningful role in enhancing the
engineering design and safety of multistable structural systems in a dynamic environment …

Stochastic response of hysteresis system under combined periodic and stochastic excitation via the statistical linearization method

F Kong, PD Spanos - Journal of Applied Mechanics, 2021 - asmedigitalcollection.asme.org
A statistical linearization approach is proposed for determining the response of the single-
degree-of-freedom of the classical Bouc–Wen hysteretic system subjected to excitation both …

[HTML][HTML] Transient probability in basins of noise influenced responses of mono and coupled Duffing oscillators

L Cilenti, B Balachandran - Chaos: An Interdisciplinary Journal of …, 2021 - pubs.aip.org
Duffing systems excited by harmonic excitations and subjected to noise additions are
considered, and it is examined whether the noise addition can be used to steer the response …

Periodic response of a Duffing oscillator under combined harmonic and random excitations

HT Zhu, SS Guo - Journal of Vibration and Acoustics, 2015 - asmedigitalcollection.asme.org
This paper presents a solution procedure to investigate the periodic response of a Duffing
oscillator under combined harmonic and random excitations. The solution procedure …