Dynamics of Gumovski-Mira's map

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(c) 2002 M. R. S. Kulenovic and O. Merino
February 2002

Introduction

Fixed Points and Orbits

Classification of Fixed Points

Numerical Explorations: Orbits and Phase Portraits

Invariants, Lyapunov Functions and Stability

Semicyle Analysis of Solutions

Bifurcation Diagrams

Lyapunov Numbers and Box Dimension

Conclusions

Exercises

References

Converted by Mathematica      February 23, 2002