Table of Contents:
  • Symbolic image
  • Periodic trajectories
  • Newton's method
  • Invariant sets
  • Chain recurrent set
  • Attractors
  • Filtration
  • Structural graph
  • Entropy
  • Projective space and Lyapunov exponents
  • Morse spectrum
  • Hyperbolicity and structural stability
  • Controllability
  • Invariant manifolds
  • Ikeda mapping dynamics
  • A dynamical system of mathematical biology
  • [Appendix] A. Double logistic map
  • [Appendix] B. Implementation of the symbolic image.