2004
DOI: 10.1016/j.chaos.2003.12.087
|View full text |Cite
|
Sign up to set email alerts
|

Dynamics and chaos control in nonlinear electrostatic transducers

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1

Citation Types

0
3
0

Year Published

2006
2006
2022
2022

Publication Types

Select...
5

Relationship

1
4

Authors

Journals

citations
Cited by 14 publications
(3 citation statements)
references
References 20 publications
0
3
0
Order By: Relevance
“…However, it will be necessary to impose conditions at ±∞ on the solutions of the second differential equation in the system (8), and these will be dictated by the dynamical phenomena that are specific to system (17). We remark that for the heteroclinic or homoclinic orbit, v(t) increases exponentially as t tends to infinity.…”
Section: Apply the Melnikov Theory To Control Instabilitymentioning
confidence: 97%
See 1 more Smart Citation
“…However, it will be necessary to impose conditions at ±∞ on the solutions of the second differential equation in the system (8), and these will be dictated by the dynamical phenomena that are specific to system (17). We remark that for the heteroclinic or homoclinic orbit, v(t) increases exponentially as t tends to infinity.…”
Section: Apply the Melnikov Theory To Control Instabilitymentioning
confidence: 97%
“…Although other works [14,[17][18][19][20][21] provide insight into the chaotic behavior of non-linear electromechanical systems, global bifurcations (homoclinic and heteroclinic bifurcation) of our model are important theoretical problems in science and engineering applications as they can reveal the instabilities of motion and complicated dynamical behaviors. These effects, which can damage the electromechanical seismographs, have not been examined by the researches mentioned above accordingly to our knowledge.…”
Section: Introductionmentioning
confidence: 99%
“…By the Routh-Hurwitz criterion, Rajasekar et al [8] obtain the stability boundary of fixed points of the approximated equations for two coupled Duffing-van der Pol oscillators with a nonlinear coupling. Then Moukam Kakmeni and co-workers [9] analyzed the dynamics and chaos control in nonlinear electrostatic transducers, which are characterized by two coupled nonlinear Duffing system with quadratic coupled terms.…”
Section: Introductionmentioning
confidence: 99%