NDLI logo
  • Content
  • Similar Resources
  • Metadata
  • Cite This
  • Log-in
  • Fullscreen
Log-in
Do not have an account? Register Now
Forgot your password? Account recovery
  1. Nonlinear Differential Equations and Applications NoDEA
  2. Nonlinear Differential Equations and Applications NoDEA : Volume 12
  3. Nonlinear Differential Equations and Applications NoDEA : Volume 12, Issue 1, May 2005
  4. On a closed orbit of some constrained system
Loading...

Please wait, while we are loading the content...

Nonlinear Differential Equations and Applications NoDEA : Volume 23
Nonlinear Differential Equations and Applications NoDEA : Volume 22
Nonlinear Differential Equations and Applications NoDEA : Volume 21
Nonlinear Differential Equations and Applications NoDEA : Volume 20
Nonlinear Differential Equations and Applications NoDEA : Volume 19
Nonlinear Differential Equations and Applications NoDEA : Volume 18
Nonlinear Differential Equations and Applications NoDEA : Volume 17
Nonlinear Differential Equations and Applications NoDEA : Volume 16
Nonlinear Differential Equations and Applications NoDEA : Volume 15
Nonlinear Differential Equations and Applications NoDEA : Volume 14
Nonlinear Differential Equations and Applications NoDEA : Volume 13
Nonlinear Differential Equations and Applications NoDEA : Volume 12
Nonlinear Differential Equations and Applications NoDEA : Volume 12, Issue 4, January 2006
Nonlinear Differential Equations and Applications NoDEA : Volume 12, Issue 3, December 2005
Nonlinear Differential Equations and Applications NoDEA : Volume 12, Issue 2, August 2005
Nonlinear Differential Equations and Applications NoDEA : Volume 12, Issue 1, May 2005
Bifurcation problems for superlinear elliptic indefinite equations with exponential growth
On Stokes flow with variable and degenerate surface tension coefficient
On a closed orbit of some constrained system
A density approach to Hamilton-Jacobi equations with t-measurable Hamiltonians
On the role of energy convexity in the web function approximation
On the uniqueness in critical spaces for compressible Navier-Stokes equations
Nonlinear Differential Equations and Applications NoDEA : Volume 11
Nonlinear Differential Equations and Applications NoDEA : Volume 10
Nonlinear Differential Equations and Applications NoDEA : Volume 9
Nonlinear Differential Equations and Applications NoDEA : Volume 8
Nonlinear Differential Equations and Applications NoDEA : Volume 7
Nonlinear Differential Equations and Applications NoDEA : Volume 6
Nonlinear Differential Equations and Applications NoDEA : Volume 5
Nonlinear Differential Equations and Applications NoDEA : Volume 4

Similar Documents

...
Asymptotic behavior of periodic solutions in one-parameter families of Li\'{e}nard equations

Article

...
Comparative Study of Homotopy Analysis and Renormalization Group Methods on Rayleigh and Van der Pol Equations

Article

...
A note on "Relaxation Oscillators with Exact Limit Cycles"

Article

...
A survey on the inverse integrating factor

Article

...
Existence of limit cycles for Liénard-type systems with p-Laplacian

Article

...
A new approach for the study of limit cycles

Article

...
On the stability of limit cycles for planar differential systems

Article

...
Limit cycles from a monodromic infinity in planar piecewise linear systems

Article

...
Periodic orbits for a class of galactic potentials

Article

On a closed orbit of some constrained system

Content Provider SpringerLink
Author Hayashi, Makoto
Copyright Year 2005
Abstract We study on what one calls a constrained system of ODEs on $$\mathbb{R}^3. $$ It consists of two ordinary differential equations and an algebraic equation with respect to three unknown functions. We seek closed orbits of such a system. A necessary and sufficient condition for the system to have non-trivial closed orbits is given. Elementary tools such as Lyapunov functions and Poincaré’s index theory are used in the proof of the result. As an application we consider a constrained system associated with a non-constraint system of ODEs called the modified Bonhöffer-van der Pol system.
Ending Page 70
Page Count 10
Starting Page 61
File Format PDF
ISSN 10219722
e-ISSN 14209004
Journal Nonlinear Differential Equations and Applications NoDEA
Issue Number 1
Volume Number 12
Language English
Publisher Birkhäuser-Verlag
Publisher Date 2005-01-01
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Stability Closed orbit Periodic solutions Relaxation oscillations Poincaré index Analysis Bonhöffer–van der Pol system Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) Canard Lyapunov function
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
  • About
  • Disclaimer
  • Feedback
  • Sponsor
  • Contact
  • Chat with Us
About National Digital Library of India (NDLI)
NDLI logo

National Digital Library of India (NDLI) is a virtual repository of learning resources which is not just a repository with search/browse facilities but provides a host of services for the learner community. It is sponsored and mentored by Ministry of Education, Government of India, through its National Mission on Education through Information and Communication Technology (NMEICT). Filtered and federated searching is employed to facilitate focused searching so that learners can find the right resource with least effort and in minimum time. NDLI provides user group-specific services such as Examination Preparatory for School and College students and job aspirants. Services for Researchers and general learners are also provided. NDLI is designed to hold content of any language and provides interface support for 10 most widely used Indian languages. It is built to provide support for all academic levels including researchers and life-long learners, all disciplines, all popular forms of access devices and differently-abled learners. It is designed to enable people to learn and prepare from best practices from all over the world and to facilitate researchers to perform inter-linked exploration from multiple sources. It is developed, operated and maintained from Indian Institute of Technology Kharagpur.

Learn more about this project from here.

Disclaimer

NDLI is a conglomeration of freely available or institutionally contributed or donated or publisher managed contents. Almost all these contents are hosted and accessed from respective sources. The responsibility for authenticity, relevance, completeness, accuracy, reliability and suitability of these contents rests with the respective organization and NDLI has no responsibility or liability for these. Every effort is made to keep the NDLI portal up and running smoothly unless there are some unavoidable technical issues.

Feedback

Sponsor

Ministry of Education, through its National Mission on Education through Information and Communication Technology (NMEICT), has sponsored and funded the National Digital Library of India (NDLI) project.

Contact National Digital Library of India
Central Library (ISO-9001:2015 Certified)
Indian Institute of Technology Kharagpur
Kharagpur, West Bengal, India | PIN - 721302
See location in the Map
03222 282435
Mail: support@ndl.gov.in
Sl. Authority Responsibilities Communication Details
1 Ministry of Education (GoI),
Department of Higher Education
Sanctioning Authority https://www.education.gov.in/ict-initiatives
2 Indian Institute of Technology Kharagpur Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project https://www.iitkgp.ac.in
3 National Digital Library of India Office, Indian Institute of Technology Kharagpur The administrative and infrastructural headquarters of the project Dr. B. Sutradhar  bsutra@ndl.gov.in
4 Project PI / Joint PI Principal Investigator and Joint Principal Investigators of the project Dr. B. Sutradhar  bsutra@ndl.gov.in
Prof. Saswat Chakrabarti  will be added soon
5 Website/Portal (Helpdesk) Queries regarding NDLI and its services support@ndl.gov.in
6 Contents and Copyright Issues Queries related to content curation and copyright issues content@ndl.gov.in
7 National Digital Library of India Club (NDLI Club) Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach clubsupport@ndl.gov.in
8 Digital Preservation Centre (DPC) Assistance with digitizing and archiving copyright-free printed books dpc@ndl.gov.in
9 IDR Setup or Support Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops idr@ndl.gov.in
I will try my best to help you...
Cite this Content
Loading...