One-Dimensional Dynamical Systems

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A01=Ana Rodrigues
advanced undergraduate textbook
Anticlockwise
Arnold Tongues
Author_Ana Rodrigues
Backward Orbit
Benedicks
bifurcation analysis
Binary Expansions
Category=PBW
Category=PBWH
chaos theory
Conjugate Points
Dense
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Fixed Points
Follow
Holds
Lozi Maps
mathematical modeling
Negative Schwarzian Derivative
nonlinear systems
Open Covers
Periodic Orbit
Periodic Point
Quadratic Map
real analytic dynamical systems
Real Analytic Maps
Rotation Number
Saddle Node Bifurcation
Schwarzian Derivative
symbolic dynamics
Tent Map
Topological Entropy
Topologically Conjugate
Unit Circle
Vice Versa

Product details

  • ISBN 9780367701109
  • Weight: 299g
  • Dimensions: 156 x 234mm
  • Publication Date: 11 Aug 2021
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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For almost every phenomenon in physics, chemistry, biology, medicine, economics, and other sciences, one can make a mathematical model that can be regarded as a dynamical system. One-Dimensional Dynamical Systems: An Example-Led Approach seeks to deep-dive into α standard maps as an example-driven way of explaining the modern theory of the subject in a way that will be engaging for students.

Features

  • Example-driven approach
  • Suitable as supplementary reading for a graduate or advanced undergraduate course in dynamical systems

Ana Rodrigues is an associate professor in the Mathematics Department, University of Exeter. She earned her PhD in mathematics in dynamical systems in 2007 from the University of Porto.

Before arriving at Exeter, she was a postdoc at Indiana University Purdue University at Indianapolis, USA, for two years and then held a research assistant position at KTH - Royal Institute of Technology and Uppsala University, Sweden, financed by the Swedish Research Council.

Her research interests are in dynamical systems (low-dimensional dynamical systems, ergodic theory, limit cycles of differential equations and dynamical systems with symmetry).

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