Chaos and Dynamical Systems

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Antiderivative
Arbitrariness
Attractor
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Autocorrelation
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Bifurcation diagram
Bifurcation theory
Catastrophe theory
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Chaos theory
Complex adaptive system
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Counterexample
Counterintuitive
Critical exponent
Critical phenomena
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Derivative
Deterministic system
Diagram (category theory)
Differentiable manifold
Differential equation
Dimension
Dynamical system
Emergence
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Equation
Equations of motion
Euler method
Existential quantification
Extrapolation
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Initial condition
Initial value problem
Instability
Irreversible process
Iterated function
Iteration
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Limit cycle
Logistic function
Logistic map
Lorenz system
Lyapunov exponent
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Mathematics
Mean field theory
Nonlinear system
Order and disorder (physics)
Oscillation
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Phase line (mathematics)
Phase plane
Phase space
Phase transition
Power law
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Prediction
Predictive modelling
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Quantum fluctuation
Random sequence
Reductionism
Renormalization
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Reynolds number
softlaunch
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Statistical fluctuations
Stochastic
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Thermodynamic system
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Weighted arithmetic mean

Product details

  • ISBN 9780691161525
  • Dimensions: 140 x 216mm
  • Publication Date: 06 Aug 2019
  • Publisher: Princeton University Press
  • Publication City/Country: US
  • Product Form: Paperback
  • Language: English
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Chaos and Dynamical Systems presents an accessible, clear introduction to dynamical systems and chaos theory, important and exciting areas that have shaped many scientific fields. While the rules governing dynamical systems are well-specified and simple, the behavior of many dynamical systems is remarkably complex. Of particular note, simple deterministic dynamical systems produce output that appears random and for which long-term prediction is impossible. Using little math beyond basic algebra, David Feldman gives readers a grounded, concrete, and concise overview.

In initial chapters, Feldman introduces iterated functions and differential equations. He then surveys the key concepts and results to emerge from dynamical systems: chaos and the butterfly effect, deterministic randomness, bifurcations, universality, phase space, and strange attractors. Throughout, Feldman examines possible scientific implications of these phenomena for the study of complex systems, highlighting the relationships between simplicity and complexity, order and disorder.

Filling the gap between popular accounts of dynamical systems and chaos and textbooks aimed at physicists and mathematicians, Chaos and Dynamical Systems will be highly useful not only to students at the undergraduate and advanced levels, but also to researchers in the natural, social, and biological sciences.

David P. Feldman is professor of physics and mathematics at the College of the Atlantic. He is the author of Chaos and Fractals: An Elementary Introduction.

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