Delay control in nonlinear oscillating systems

Dao, Nguyen Van

doi:10.1109/coc.2000.873497

Search citation statements

Order By: Relevance

Paper Sections

Select...

Stability Conditions1

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Publication Types

Select...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(2 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The second stability condition still has the following abbreviated form [1,4]: The second stability condition still has the following abbreviated form [1,4]: …”

Section: Stability Conditionsmentioning

confidence: 99%

See 1 more Smart Citation

Van der Pol oscillator under parametric and forced excitations

2007

View full text Add to dashboard Cite

We study a van der Pol oscillator under parametric and forced excitations. The case where a system contains a small parameter and is quasilinear and the general case (without the assumption of the smallness of nonlinear terms and perturbations) are studied. In the first case, equations of the first approximation are obtained by the Krylov-Bogolyubov-Mitropol'skii technique, their averaging is performed, frequency-amplitude and resonance curves are studied, and the stability of the given system is considered. In the second case, the possibility of chaotic behavior in a deterministic system of oscillator type is shown.

show abstract

“…The second stability condition still has the following abbreviated form [1,4]: The second stability condition still has the following abbreviated form [1,4]: …”

Section: Stability Conditionsmentioning

confidence: 99%

“…Minorsky stated that "Perhaps the whole theory of nonlinear oscillations could be formed on the basis of interaction" [1]. Minorsky stated that "Perhaps the whole theory of nonlinear oscillations could be formed on the basis of interaction" [1].…”

Section: Introductionmentioning

confidence: 99%