Question: given any positive integer k, prove that there exists an open neighbhood V of p such that every periodic point in V{p} has prime period

given any positive integer k, prove that there exists an open neighbhood V of p such that every periodic point in V\{p} has prime period greater than k. Now p is a fixed point and a saddle point

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Assume that f : R 2 , is a C 1 diffeomorphism, and that p R 2 is a fixed point of f of hyperbolic saddle type. iii) Given any positive integer k, prove that there exists an open neighbourhood V of p...

i want to prove by contradiction that given k>0 prove that there exists an open neighbhood V of p such that every periodic point in V\{p} has prime period greater than k

given k>0 prove that there exists an open neighbhood V of p such that every periodic point in V\{p} has prime period greater than k

Exclusion of Small Periods: For any positive integer ( k ), we can choose a sufficiently small neighborhood ( V ) around ( p ) such that any periodic point ( q \in V \setminus {p} ) must have a...

Give Correct ANSWERS Human-Computer Interaction (a) If you had been one of the original inventors of the WIMP interface, and engineers on the technical team had been sceptical about the advantages...

\fCPSC 121: Models of Computation Assignment #4, due Wednesday, November 18th , 2015 at 17:00 Each of the following questions asks you to prove a theorem. When the theorem is stated in English, it...

You have been provided with the description of a programming language, J, intended for scripting applications. Its syntax is similar to a cut-down version of Java in that it consists of function...

Show work/explanation where indicated. Answers without any work may earn little, if any, credit. You may type or write your work in your copy of the exam, or if you prefer, create a document...

In this question you will be asked to reflect on a project you have been involved in or observed, in which a design evolved, or could have evolved, through applying a theory of user behaviour. You...

Mary incurs the following losses during the current tax year. Calculate Mary's deductible losses. Sale of Bedroom Suite ......$1200 Sale of Personal Use Car .....$9000 Sale of Personal Residence .......

For each item listed below, identify whether it is an advantage or disadvantage of the income statement. Item Advantage/ Disadvantage 1. Can be manipulated and managed. _____________________ 2....

What are the key words in the UHDDS definition of principal diagnosis? After discharge After study After admission After treatment

Rafael sold an asset to Jamal. What is Rafael's amount realized on the sale in each of the following alternative scenarios? c . Rafael received $ 2 8 , 2 5 0 cash, a parcel of land worth $ 6 9 , 5 0...