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A Tribute to J. C. Sprott

  • Fahimeh Nazarimehr
  • , Sajad Jafari*
  • , Guanrong Chen
  • , Tomasz Kapitaniak
  • , Nikolay V. Kuznetsov
  • , Gennady A. Leonov
  • , Chunbiao Li
  • , Zhouchao Wei
  • *Corresponding author for this work

Research output: Journal Publications and ReviewsComment/debatepeer-review

Abstract

In honor of his 75th birthday, we review the prominent works of Professor Julien Clinton Sprott in chaos and nonlinear dynamics. We categorize his works into three important groups. The first and most important group is identifying new dynamical systems with special properties. He has proposed different chaotic maps, flows, complex variable systems, nonautonomous systems, partial differential equations, fractional-order systems, delay differential systems, spatiotemporal systems, artificial neural networks, and chaotic electrical circuits. He has also studied dynamical properties of complex systems such as bifurcations and basins of attraction. He has done work on generating fractal art. He has examined models of real-world systems that exhibit chaos. The second group of his works comprise control and synchronization of chaos. Finally, the third group is extracting dynamical properties of systems using time-series analysis. This paper highlights the impact of Sprott's work on the promotion of nonlinear dynamics.
Original languageEnglish
Article number1750221
JournalInternational Journal of Bifurcation and Chaos
Volume27
Issue number14
DOIs
Publication statusPublished - 30 Dec 2017

Research Keywords

  • Chaos
  • dynamical system
  • dynamical property
  • control
  • synchronization
  • SIMPLIFIED LORENZ SYSTEM
  • PERIODIC PARAMETRIC PERTURBATIONS
  • DIMENSIONAL DYNAMICAL-SYSTEMS
  • QUADRATIC CHAOTIC FLOWS
  • EASTER-ISLAND ECOLOGY
  • HIDDEN OSCILLATIONS
  • STRANGE ATTRACTORS
  • NEURAL-NETWORKS
  • DIFFERENTIAL-EQUATION
  • AUTOMATIC-GENERATION

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