English

On the Dynamics of Complex Quadratic Families under Holomorphic and Non-Holomorphic Singular Perturbations

Dynamical Systems 2026-01-19 v4 Chaotic Dynamics

Abstract

This work surveys the topological and statistical properties of real quadratic maps and investigates the complex quadratic maps under holomorphic and non-holomorphic singular perturbations.

Keywords

Cite

@article{arxiv.2012.14374,
  title  = {On the Dynamics of Complex Quadratic Families under Holomorphic and Non-Holomorphic Singular Perturbations},
  author = {Haitao Shang},
  journal= {arXiv preprint arXiv:2012.14374},
  year   = {2026}
}