Three-Dimensional Autonomous Systems and Chaos

Stephen Lynch ()
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Stephen Lynch: Loughborough University, Department of Computer Science

Chapter Chapter 16 in Dynamical Systems with Applications Using MATLAB®, 2025, pp 321-347 from Springer

Abstract: Abstract Three-dimensional autonomous systems of differential equations are considered. Critical points and stability are discussed and the concept of chaos is introduced. Examples include the Lorenz equations, used as a simple meteorological model and in the theory of lasers; Chua’s circuit, used in nonlinear electronics and radiophysics; and the Belousov–Zhabotinsky reaction, used in chemistry and biophysics. All of these systems can display highly complex behavior that can be interpreted from phase portrait analysis or Poincaré maps (see Chap. 17 ).

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-89067-3_16

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DOI: 10.1007/978-3-031-89067-3_16

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