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Normally Elliptic Singular Perturbations and Persistence of Homoclinic Orbits
Normally Elliptic Singular Perturbations Persistence of Homoclinic Orbits
2011/1/14
We consider a dynamical system, possibly infinite dimensional or non-autonomous, with fast and slow time scales which is oscillatory with high frequencies in the fast directions. We first derive and j...
Defining and Computing Topological Persistence for 1-cocycles
Topological Persistence 1-cocycles
2011/2/22
The concept of topological persistence, introduced recently in computational topology, finds applications in studying a map in relation to the topology of its domain. Since its introduction, it has be...
A Missed Persistence Property for the Euler Equations, and its Effect on Inviscid Limits
Persistence Property the Euler Equations
2010/11/11
We consider the problem of the strong convergence, as the viscosity goes to zero, of the solutions to the three-dimensional evolutionary Navier-Stokes equations under a Navier slip-type boundary condi...
Weak Dynamic Non-Emptiability and Persistence of Chemical Kinetics Systems
chemical kinetics dynamically non-emptiable siphons complex balanced
2010/11/29
A frequently desirable characteristic of chemical kinetics systems is that of persistence, the property that no initially present species may tend toward extinction. It is known that solutions of dete...
Persistence and Periodic Solution on a Nonautonomous SIS Model with Delays
time delay liapunov functional persistence
2007/12/11
An SIS model with periodic maximum infectious force, recruitment rate and the removal rate of the infectives has been investigated in this article. Sufficient conditions for the permanence and extinct...