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Table of Contents:

Chapter 1: Introduction
1.1 Background of the Study
1.2 Research Objectives
1.3 Limitations of the Study
1.4 Scope of the Study

Chapter 2: Literature Review
2.1 Overview of Dynamical Systems
2.2 Structural Stability in Dynamical Systems
2.3 Existing Classification Methods for Dynamical Systems

Chapter 3: Research Methodology
3.1 Data Collection Methods
3.2 Data Analysis Techniques
3.3 Classification Algorithms

Chapter 4: Discussion of Findings
4.1 Analysis of Classification Results
4.2 Comparison with Existing Methods
4.3 Interpretation of Results

Chapter 5: Conclusion and Summary
5.1 Summary of Key Findings
5.2 Conclusion and Implications for Future Research

Brief Overview:

Classifying dynamical systems using structural stability is a critical task in various fields of science and engineering. This thesis aims to develop a novel approach to classify dynamical systems based on their structural stability properties. The research objectives include investigating the existing methods of classification, identifying limitations, and proposing a new methodology for classification.

The literature review will provide an overview of dynamical systems and the concept of structural stability. Various classification methods for dynamical systems will be discussed to provide a comprehensive background for the research.

The research methodology will detail the data collection methods, analysis techniques, and classification algorithms used in the study. The discussion of findings will analyze the classification results and compare them with existing methods to evaluate the effectiveness of the proposed approach.

In the conclusion and summary chapter, key findings will be summarized, and implications for future research will be discussed. This thesis will contribute to the understanding of dynamical systems classification and provide a valuable framework for future studies in this area.

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