About limit cycle's uniqueness for a class of generalized ... - Core
Recommend Documents
We consider two natural generalizations of Abel equations. Our results extend previous works of ... Non-autonomous differential equations of type dx dt. = S(t, x),.
In particular our results allow first to prove the nonâexistence of limit cycles under suitable assumptions, and second to prove the existence and uniqueness of a ...
least one stable limit cycle, by the Poincare-Bendixon theorem, see for ... conditions for existence and uniqueness of limit cycles of some particular cases of.
centres and separatrix cycles of planar analytic systems. Some bifurcations of limit cycles at infinity are studied for polynomial vector fields with no singular points ...
This report considers the analytical approximation of unstable limit cycles that ... unstable limit cycle that appears in an Abel equation arising in a tracking control.
criteria for the uniqueness of limit cycles when they exist for a specialized class of ... corrected a flaw in the proof of Cheng's [5] main theorem and extended the.
Nov 22, 2015 - a Class of Uncertain Nonlinear. Systems: Application in Inertia. Pendulum. Ali Reza Hakimi1, Tahereh Binazadeh2*. Received : 2015/9/15 ...
will be geometrically realized by a point which goes round and round the curve C with a certain period T. That is, the solution vector x(t)=(x(t),y(t)) will be a pair of ...
Feb 11, 2014 - repelling point and terminating at a IR attracting point. However it ..... i = 1,2. (25). The external charge creates a Coulomb potential,. V (r) = â α.
Mar 31, 1999 - For the above scaled trigonometric functions this fact is established ..... we only need to verify the validity of the assertion for the three functions.
Oct 7, 2004 - We define, for each real number a, the real-valued trigono- metric polynomial ... bifurcation diagram of a family of quadratic systems be described by algebraic ... If a = 0, then the equation Ï(2Ï, Ï0) = Ï0 has the unique solution.
Dec 23, 2013 - Uniqueness criterion for the Cauchy problem is given when any of ... function , is not sufficient to prove a local existence theorem in the case ...
29 Nov 2004 - We study the uniqueness of positive solutions of the boundary- ... To study the uniqueness problem of (1.1)-(1.2), we will use the shooting ...
A Uniqueness result for a generalized Radon transform. B. L. FRIDMAN. Mathematics Department. Wichita State University. Wichita, KS 67260-0033.
Our main result deals with uniqueness of positive solution for a class of semilinear equations ... 0Key words: Uniqueness of solutions, the global solution curve.
May 16, 2016 - T+ = 0, and it satisfies tan(Ï/2) = Tâ/2p1. Similarly, for Tâ ... For t = tan(Ï), we have sin(2Ï) = 2t ..... E-mail address: adrian [email protected].
Nov 28, 2012 - to the problems of existence, uniqueness, and properties of solutions of neutral ... Firstly we prove the theorem of existence and uniqueness of.
Aug 21, 2013 - the last two decades, the existence and uniqueness of solution for SDEs have .... show the existence, uniqueness theorem and the properties.
In this paper, our aim is to address the existence and uniqueness of ... IFMT-spaces and prove a common fixed point theorem in a complete IFMT-space; next we ...
for the different scattering rates of, for example, spin-up and spin-down elec- trons in spintronic ... From a mathematical point of view, ..... do not have parabolic shape. ...... Under the assumption 6.2, in the limit ε â 0, the solution Fε of
Unfortunately, surprisingly little is known about how to do this, or how to show
that a system has no limit cycles. There is active research in this subject today.
Dec 2, 2012 - It follows from the work of Jack and Osborn [5] that theories that live ..... [4] K. Wilson & J.B. Kogut, âThe Renormalization group and the epsilon ...
About limit cycle's uniqueness for a class of generalized ... - Core
Abstract. A uniqueness theorem for limit cycles of a class of generalized Liienard systems is proved. The main result is applicable to generalized Liienard.