Existence Of The Quasi-periodical Solution Of Time-delay Van Der Pol Equation

Posted on:2008-04-20

Degree:Master

Type:Thesis

Country:China

Candidate:S Xu

Full Text:PDF

GTID:2120360215978792

Subject:Applied Mathematics

Abstract/Summary:

PDF Full Text Request

This paper illustrated how to obtain the quasi-periodical solutions of ODE and how to obtain the quasi-periodical solutions of RFDE through the ODE method, and further discussed the existence of the quasi-periodical solutions of time-delay Van der Pol equation.

Keywords/Search Tags:

Van der Pol equation, Hopf bifurcation, method of averaging, center mainfold, quasi-periodical solution

PDF Full Text Request

Related items

1	The Periodically Perturbed Hopf Bifurcation For Price Reyleigh Equation With Delay
2	With Limit Cycles Of Li��nard Equations Perturbed Hopf Bifurcation
3	Periodically Perturbed Hopf Bifurcation For Van Der Pol-Duffing Time-delay System
4	Bifurcation Analysis In Five Variables Calcium Oscillation Model
5	Normal Form Theory Of Hopf Bifurcation And It's Application In The Nonlinear Vibration Systems
6	Linear Slowly Varying Bifurcation Of Non-linear Dissipative Systems And Control
7	Hopf Bifurcation Of Traveling Wave Solution Of Two Partial Functional Differential Equations
8	The Existence Of Quasi-periodic Invariant Tori And Double Hopf Bifurcation Of Van Der Pol Oscillator With Delay
9	Analysis Of Local Bifurcation And Generalized Hopf Bifurcation For A Class Of Filippov-type Systems
10	The Existence Of Quasi-Periodic Invariant Tori For Double Hopf Bifurcation Of Van Der Pol-Duffing Oscillator With Delay Feedback Control