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A Real-World Application of Chaos Theory

Topic Information

Dear Colleagues,

Chaos theory is one of the most elegant theories in mathematics which deals with how small changes in initial conditions can lead to vastly different outcomes in complex systems, making long-term predictions difficult. Several different techniques are used to predict the chaos in a dynamical system, some of which are sensitivity, phase portraits, bifurcation theory, Lyapunov exponents, etc. Each of these techniques helps mathematicians analyze problems more deeply.

Topics of Interest include, but are not limited to, the following:

  • (i) Bifurcation analysis;
  • (ii) multi-stability analysis;
  • (iii) sensitivity analysis;
  • (iv) Lyapunov exponents;
  • (v) attractors;
  • (vi) basin theory;
  • (vii) Poincare map.

Dr. Adil Jhangeer
Dr. Mudassar Imran
Topic Editors

Keywords

  • mathematical model
  • visualization
  • chaotic behaviors
  • sensitivity analysis
  • multi-stability
  • Lyapunov exponent
  • dynamical system
  • identification of essential parameters

Participating Journals

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Published Papers