Quick Menu

Upcoming Journals

Journal of Scientific Research and Reports

Journal of Scientific Research and Reports, ISSN: 2320-0227,Vol.: 13, Issue.: 6


Harmonic and Sub-Harmonic Periodic Solutions (1/2, 1/3) of Generalized Mathieu-Van der Pol-Duffing Equations


A. M. El-Naggar1, K. M. Khalil1 and A. M. Omran1*
1Department of Mathematics, Faculty of Science, Benha University, Benha 13518, Egypt.


Article Information
(1) Narayan Thapa, Department of Mathematics and Computer Science, Minot State University, 58707 Minot, ND, US.
(1) Md. Alal Hosen, Rajshahi University of Engineering and Technology, Bangladesh.
(2) Nityanand P. Pai, Manipal University, Manipal, India.
(3) Rashmi Awad, Devi Ahilya University, Indore, India.
Complete Peer review History: http://www.sciencedomain.org/review-history/18720




The frequency-locking area of harmonic and subharmonic ( 1/2, 1/3 ) solutions in a fast harmonic excitation Mathieu-Van der PolDuffing equation is studied. A perturbation technique is then performed on the slow dynamic near the harmonic and subharmonic ( 1/2, 1/3 ) solutions, to obtain reduced slow flow equations governing the modulation of amplitude and phase of the corresponding slow dynamics. Results show that fast harmonic excitation can change the nonlinear characteristic spring behavior from softening to hardening and causes the entrainment regions to shift. Numerical solutions are represented the analytical results.


Keywords :

MEMS; multiple scales method; fast excitation; slow motion and parametric forcing.


Full Article - PDF    Page 1-15    Article Metrics


DOI : 10.9734/JSRR/2017/32122

Review History    Comments

Search this site

Advanced Search

Announcement & News

ISI Thomson Reuters selected British Journal of Pharmaceutical Research for Emerging Sources Citation Index

We are delighted to inform that ISI Thomson Reuters selected British Journal of Pharmaceutical Resea...

SCOPUS selected Annual Research & Review in Biology (ARRB)

We are delighted to inform that famous indexing organization SCOPUS (from Elsevier) selected  A...

Index Copernicus Evaluation Result Released

We are delighted to inform that Index Copernicus (a leading indexing organization from Pol...

Journal Repository (JR): Permanent Digital Archiving of SDI journals

SDI is happy to announce that all our journals are now permanently archived in Journal Repository (J...

SDI journal got 35th ranking in Publons

We are delighted to announce (as of 04/01/2016) that British Journal of Medicine and Medical Re...

Growth of SDI and world publication market

As of 2014, total 25,064 journals are competing in World market of journal publication. In 2011, tot...

Science (IF: 31) report confirmed the high standard of SDI journal

As per a recent report (Link) of Science journal (present Impact factor 31), one of our journal (Bri...

SDI introduced Post-publication peer review by its comment section

SDI journals encourage Post-publication peer review by its comment section   Policy details a...

SDI promotes transparent Advanced OPEN peer review

We have migrated to transparent and toughest ‘Advanced OPEN peer review’ system (...


  • No Awards listed.

Browser Compatibility : Mozila firefox, Google Crome and IE 7 & above. Creative Commons License Terms & Condition   |   Privacy Policy   |   Join Us   |   Help   |   Contact Us
© Copyright 2010-2018, SCIENCEDOMAIN international. All rights reserved.