Bifurcations of Bounded Solutions of 1-Parameter ODE's
نویسندگان
چکیده
منابع مشابه
Riccati-parameter solutions of nonlinear second-order ODEs
It has been proven by Rosu and Cornejo-Pérez [1, 2] that for some nonlinear second-order ODEs it is a very simple task to find one particular solution once the nonlinear equation is factorized with the use of two first-order differential operators. Here, it is shown that an interesting class of parametric solutions are easy to obtain if the proposed factorization has a particular form, which ha...
متن کاملNon-negative solutions of ODEs
This paper discusses procedures for enforcing non-negativity in a range of codes for solving ordinary differential equations (ODEs). This codes implement both one-step and multistep methods, all of which use continuous extensions and have event finding capabilities. Examples are given. 2005 Published by Elsevier Inc.
متن کاملEstimation of Scale Parameter Under a Bounded Loss Function
The quadratic loss function has been used by decision-theoretic statisticians and economists for many years. In this paper the estimation of scale parameter under a bounded loss function, which is adequate for assessing quality and quality improvement, is considered with restriction to the principles of invariance and risk unbiasedness. An implicit form of minimum risk scale equivariant ...
متن کاملComputation of Periodic Solution Bifurcations in ODEs Using Bordered Systems
We consider numerical methods for the computation and continuation of the three generic secondaryperiodicsolution bifurcationsin autonomousordinarydiierentialequations(ODEs), namely the fold, the period-doubling (or ip) bifurcation, and the torus (or Neimark-Sacker) bifur-cation. In the fold and ip cases we append one scalar equation to the standard periodic boundary value problem (BVP) that de...
متن کاملMoving averages of solutions of ODEs
Moving averages of the solution of an initial value problem for a system of ordinary differential equations are used to extract the general behavior of the solution without following it in detail. They can be computed directly by solving delay differential equations. Because they vary much less rapidly and are smoother, they are easier to compute.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1996
ISSN: 0022-0396
DOI: 10.1006/jdeq.1996.0142