Nonlinear Dynamics and Chaos in Economic Systems: With Python (Richman Computational Economics)
Format:
Hardcover
En stock
0.36 kg
Sí
Nuevo
Amazon
USA
- Unlock the secrets of modern economics with an innovative approach to understanding the complex dynamics that drive our world. This comprehensive guide delves into the intersection of nonlinear dynamics and chaotic behavior within economic systems, offering a unique perspective enriched with hands-on Python code for each topic. Perfect for students, researchers, and professionals eager to elevate their analytical skills, this book is an indispensable resource for anyone looking to decode the often unpredictable nature of economic models.Key Features:In-depth exploration of fundamental concepts in nonlinear dynamics, tailored specifically for economic applications.Step-by-step Python programming examples accompanying each chapter, providing practical tools for modeling and analysis.Detailed explanations of mathematical techniques used to understand and predict the behavior of complex economic systems.Thorough examination of chaos theory and its relevance to modern economics.Description:Dive into this expertly crafted resource and discover how nonlinear dynamics and chaos theory revolutionize the understanding of economic systems. This book begins with foundational concepts and progressively introduces more advanced topics, each explained through clear and concise language. You'll develop a robust understanding of mathematical principles and how they apply to real-world economic situations, from phase transitions to stochastic dynamics.What You Will Learn:Grasp fundamental mathematical concepts underpinning nonlinear dynamics.Construct phase spaces to analyze complex economic systems.Identify fixed points and assess their stability in economic models.Describe bifurcations and their implications within economic contexts.Compute Lyapunov exponents to measure chaos in systems.Detect strange attractors in nonlinear economic models.Analyze period-doubling bifurcations in economics.Create Poincaré maps to study intricate economic dynamics.Compute fractal dimensions in economic time series.Apply Hopf bifurcation equations to dynamic economic models.Explore chaotic behavior in discrete-time economic systems.Solve nonlinear differential equations related to economics.Utilize stability analysis techniques for economic models.Identify multistability and coexisting attractors in systems.Analyze time series data for nonlinear patterns in economics.Model nonlinear feedback loops in economic processes.Examine delay differential equations within economic models.Implement differential topology methods in economic analysis.Characterize homoclinic and heteroclinic orbits in economic systems.Measure complexity in chaotic economic systems with quantitative methods.Transform economic equations into canonical forms.Apply perturbation theory to solve nonlinear economic problems.Model economic shifts using catastrophe theory techniques.Leverage the logistic map to depict economic growth and cycles.Employ Hamiltonian dynamics for understanding economic behavior.Use the Kuramoto model for studying synchronization in economics.Incorporate randomness with stochastic nonlinear dynamics.
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