RESULTS ON INVARIANT WHISKERED TORI FOR FIBERED HOLOMORPHIC MAPS AND ON COMPENSATED DOMAINS.
- Project Research
- 1-5 Chapters
- Abstract : Available
- Table of Content: Available
- Reference Style: APA
- Recommended for : Student Researchers
- NGN 3000
ABSTRACT
This thesis is composed of two independent papers: Construction of whiskered invariant tori for fibered holomorphic maps In this paper we present a very general theory that includes results on the persistence of quasi-periodic orbits of systems subject to quasi-periodic perturbations. Such quasi-periodic systems appear naturally in many applications where systems are subject to external perturbations of quasi-periodic nature. This is joint work with Rafael de la Llave. The paper takes up Chapters I - VII of the thesis. We give a brief motivation in Chapter I. In Chapter II we introduce informally the spaces of analytic functions and some number-theoretic and non-degeneracy conditions which are rigorously defined in Chapter III. In Chapter IV we present the Main result of the paper, and present the pseudocode for an Algorithm (Algorithm 1) which efficiently computes the invariant objects that have been introduced in Chapter II. A brief review of the most important references in the literature which are related with our work is in Section 4.5. The proof of the main result, theorem 1, takes up Chapters V-VII. We present an outline for the proof of theorem 1 in Section 4.3.
Related Project Materials
EFFECTS OF DIRECT AND DISCOVERY METHODS ON MAIN IDEA COMPREHENSION ABILITY OF SELECTED SENIOR SECONDARY SCHOOL STUDENTS IN PLATEAU STATE, NIGERIA
ABSTRACT
The present study was designed to compare the effects of the Direct Method and the Discovery Method on students’ main idea...
THE EFFECT OF AGGRESSION AND VIOLENCE ON ACADEMIC PERFORMANCE OF SECONDARY SCHOOL STUDENTS
Abstract
This paper presents the findings on bullying behaviour among secondary school students in Ogbe Secondary Schoo...
AN EXAMINATION OF INTERNATIONAL TRADE AGREEMENTS: ISSUES AND CHALLENGES FOR NIGERIA
ABSTRACT
The WTO and its predecessor GATT have formed rules and discipline for ensuring multilateral trade among nations. Its overriding...
EVALUATION OF THE IMPACT OF INFORMATION AND COMMUNICATION TECHNOLOGY ON THE MANAGEMENT OF STATE TERTIARY INSTITUTIONS
Background to the Study
All over the world, education has been recognized as a critical tool for effecting national deve...
THE STATE AND FOOD SECURITY POLICIES: AN ASSESSMENT OF THE NATIONAL PROGRAMME FOR FOOD SECURITY IN SELECTED STATES OF NIGERIA (2001-2011)
ABSTRACT
In recent times, the idea of food security has undergone transformation from the perspective of having adequate available food a...
ANALYSIS OF RENTAL HOUSING QUALITY AND CO-TENANTS RELATIONSHIP IN MINNA, NIGERIA
ABSTRACT
The quantitative and qualitative shortfall of housing in Nigeria occasioned by population explosion is a primary driver of renta...
Evaluation of the Effectiveness of the Restructured University Communications
ABSTRACT
This proposal is to conduct a research on the impact of the restructuring in the communications department of the American Unive...
AN ASSESSMENT OF FINGERPRINT AUTHENTICATION SYSTEM FOR ATM SECURITY
Background of the Study
A biometric system is, in essence, a pattern recognition system that functions by first gatherin...
THE ROLE OF PARENTS IN THE CAREER DEVELOPMENT OF THE CHILD
ABSTRACT
The purpose of this research work is to examine the role of parents in the career development...
THE IMPACT OF TRAINING AND PERSONAL DEVELOPMENT ON ORGANIZATIONAL PRODUCTIVITY
ABSTRACT
The study is aimed at examining the impact of training and development on productivity...
