Nonlinear Systems

Practical Applications and Contemporary Challenges

Ricardo López-Ruiz

• Publisher: IntechOpen
• Year: 2026
• Print ISBN:
  9781836356592
• eBook ISBN:
  9781836356585
• Topic: Mathematics
• Index: Mathematics

Nonlinear systems present a set of challenges, primarily due to their complex and unpredictable behavior. Unlike linear systems, where inputs and outputs maintain a proportional relationship, nonlinear systems can exhibit phenomena such as chaos, bifurcations, and multistability. This makes predicting system behavior challenging, as minor changes in inputs or initial conditions can yield vastly different outcomes. Another significant challenge is controlling and stabilizing nonlinear systems, especially in practical applications such as robotics, energy systems, and climate modeling. Over three sections, this book aims to delve into this type of system from theoretical approaches to practical applications. A wide range of topics, including the analysis of stability and bifurcations, the control of dynamics, and the prediction of behavior in different biological, physical, and theoretical situations, is covered.

Table of contents

• Nonlinear Systems - Practical Applications and Contemporary Challenges
• front
• Contents
• Preface
• Section 1 - Introduction
• Chapter 1 - Introductory Chapter: Analytical Approaches and Contemporary Challenges in Nonlinear Systems
• Section 2 - Applications in Biological and Physical Systems
• Chapter 2 - Analysis of the Behavior of Permutation Entropy and the Embedding Dimension of Takens in the Cardiac Bioelectric Signal in Healthy Subjects and Critically Ill Adult Patients
• Chapter 3 - Stability and Bifurcation in a Food Chain Model with the Allee Effect
• Chapter 4 - Controlling the Dynamics of Soliton Molecules in Binary Bose-Einstein Condensates
• Chapter 5 - Motion Control of Suspended Loads via Magnetic Interaction
• Section 3 - Mathematical Analysis and Challenges
• Chapter 6 - In-Depth Analysis of Caputo-Fabrizio Fractional Derivatives: Theory, Applications, and Numerical Scheme
• Chapter 8 - Grayscale Image Security Based on Nonlinear 2D Chaotic Map and Bit Pair Rotation
• Chapter 9 - The Importance of Establishing the Continuity of Investment in Infrastructure: A Perspective Based on Structural Analysis
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