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Complex and adaptive dynamical systems A primer 2nd Edition by Claudius Gros ISBN 3319162640 9783319162645

  • SKU: BELL-2043620
Complex and adaptive dynamical systems A primer 2nd Edition by Claudius Gros ISBN 3319162640 9783319162645
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Complex and adaptive dynamical systems A primer 2nd Edition by Claudius Gros ISBN 3319162640 9783319162645 instant download after payment.

Publisher: Springer Berlin Heidelberg
File Extension: PDF
File size: 3.36 MB
Pages: 340
Author: Claudius Gros (auth.)
ISBN: 9783642047053, 364204705X
Language: English
Year: 2011
Edition: 2ed

Product desciption

Complex and adaptive dynamical systems A primer 2nd Edition by Claudius Gros ISBN 3319162640 9783319162645 by Claudius Gros (auth.) 9783642047053, 364204705X instant download after payment.

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ISBN 10: 3319162640 
ISBN 13: 9783319162645
Author: Claudius Gros

This primer offers readers an introduction to the central concepts that form our modern understanding of complex and emergent behavior, together with detailed coverage of accompanying mathematical methods. All calculations are presented step by step and are easy to follow.

This new fourth edition has been fully reorganized and includes new chapters, figures and exercises. The core aspects of modern complex system sciences are presented in the first chapters, covering network theory, dynamical systems, bifurcation and catastrophe theory, chaos and adaptive processes, together with the principle of self-organization in reaction-diffusion systems and social animals. Modern information theoretical principles are treated in further chapters, together with the concept of self-organized criticality, gene regulation networks, hypercycles and coevolutionary avalanches, synchronization phenomena, absorbing phase transitions and the cognitive system approach to the brain.

Technical course prerequisites are the standard mathematical tools for an advanced undergraduate course in the natural sciences or engineering. Each chapter includes exercises and suggestions for further reading, and the solutions to all exercises are provided in the last chapter.

From the reviews of previous editions:

This is a very interesting introductory book written for a broad audience of graduate students in natural sciences and engineering. It can be equally well used both for teac

hing and self-education. Very well structured and every topic is illustrated with simple and motivating examples. This is a true guidebook to the world of complex nonlinear phenomena. (Ilya Pavlyukevich, Zentralblatt MATH, Vol. 1146, 2008)

Claudius Gros’ Complex and Adaptive Dynamical Systems: A Primer is a welcome addition to the literature. A particular strength of the book is its emphasis on analytical techniques for studying complex systems. (David P. Feldman, Physics Today, July, 2009).

Complex and adaptive dynamical systems A primer 2nd Table of contents:

Part I: Foundations of Dynamical Systems

  • Chapter 1: Introduction to Dynamical Systems
    • What is a Dynamical System? (States, Evolution, Time)
    • Continuous vs. Discrete Systems
    • Phase Space and Trajectories
    • Fixed Points, Cycles, and Attractors
    • Why Study Dynamical Systems? Applications in Science and Engineering
  • Chapter 2: Linear and Nonlinear Dynamics
    • Linear Systems: Stability and Predictability
    • Introduction to Nonlinearity: The Source of Complexity
    • Bifurcations: Qualitative Changes in System Behavior
    • Limit Cycles and Oscillations
  • Chapter 3: Introduction to Chaos
    • The Butterfly Effect: Sensitive Dependence on Initial Conditions
    • Strange Attractors
    • Fractals and Self-Similarity
    • Measuring Chaos: Lyapunov Exponents

Part II: Understanding Complexity

  • Chapter 4: What is a Complex System?
    • Defining Complexity: Beyond Complicatedness
    • Emergence: More Than the Sum of Its Parts
    • Feedback Loops: Positive and Negative
    • Self-Organization: Order from Disorder
    • Network Structures and Connectivity
  • Chapter 5: Tools for Exploring Complexity
    • Cellular Automata (e.g., Conway's Game of Life)
    • Agent-Based Models (ABM): Individual Interactions, Collective Behavior
    • Boolean Networks
    • Statistical Physics Concepts in Complex Systems

Part III: Adaptation and Evolution

  • Chapter 6: Principles of Adaptation
    • Learning and Memory in Dynamical Systems
    • Feedback and Control Mechanisms for Adaptation
    • Homeostasis and Robustness
    • Evolutionary Dynamics: Selection, Mutation, and Drift
  • Chapter 7: Adaptive Systems in Action
    • Neural Networks: Learning and Pattern Recognition
    • Adaptive Control Systems
    • Swarm Intelligence and Collective Behavior (e.g., Ant Colonies, Bird Flocks)
    • Evolutionary Algorithms and Optimization

Part IV: Applications Across Disciplines

  • Chapter 8: Complex Systems in Biology
    • Ecological Dynamics: Predator-Prey Models, Food Webs
    • Biological Networks: Gene Regulatory Networks, Protein Interaction Networks
    • Neuroscience: Brain Dynamics and Consciousness
    • Evolutionary Biology and Species Co-evolution
  • Chapter 9: Complex Systems in Social Sciences and Economics
    • Social Networks and Opinion Dynamics
    • Crowd Behavior and Collective Action
    • Market Dynamics and Economic Bubbles
    • Urban Systems and Traffic Flow
  • Chapter 10: Complex Systems in Engineering and Technology
    • Robotics and Autonomous Systems
    • Communication Networks (Internet, Power Grids)
    • Smart Cities and Infrastructure
    • Complex Adaptive Systems in Cybersecurity

Part V: Frontiers and Future Directions

  • Chapter 11: Measuring and Manipulating Complexity
    • Quantifying Complexity: Entropy, Mutual Information
    • Controlling Complex Systems
    • Designing for Robustness and Adaptability
  • Chapter 12: Open Questions and Emerging Themes
    • Predictability vs. Unpredictability in Complex Systems
    • The Role of Criticality
    • Complex Systems and Artificial Intelligence
    • Ethical Considerations in Understanding and Managing Complex Systems

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Tags: Claudius Gros, Complex, dynamical

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