Dynamical Systems with Applications Using MATLAB: Code Implementation and Experimental Analysis

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Resource Overview

This classic textbook "Dynamical Systems with Applications using MATLAB" provides comprehensive coverage of dynamical nonlinear systems theory for both discrete and continuous systems (including fractals, chaos, and nonlinear systems). The accompanying code attachments correspond to each chapter, enabling readers to conduct experiments and generate visually striking images (such as fractals). These implementations span mechanical systems, chemical kinetics, electronic circuits, species interactions, economics, nonlinear optics, biology, neural networks, and materials science. The repository contains extensive source code with detailed algorithmic explanations and key function descriptions.

Detailed Documentation

This article introduces the classic textbook "Dynamical Systems with Applications using MATLAB," which presents dynamical nonlinear systems theory for both discrete and continuous systems (including fractals, chaos, and nonlinear systems). Furthermore, we provide accompanying code attachments corresponding to each chapter, enabling readers to perform experiments that generate visually appealing images (e.g., fractals). The implementations cover mechanical systems, chemical kinetics, electronic circuits, species interactions, economics, nonlinear optics, biology, neural networks, and materials science. The provided source codes include detailed algorithm explanations and key function descriptions (such as ODE solvers for continuous systems and iterative mapping functions for discrete systems), allowing readers to better understand and apply dynamical nonlinear systems theory through hands-on experimentation.

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