The Net Advance of Physics:
DYNAMICS

DYNAMICS

• Type: CHAOTIC; COMPLEX; FEW BODY;

• Type: BILLIARDS:
  • Lines in positive genus: An introduction to flat surfaces by Diana Davis [2015/07]

• Type: TRANSCENDENTAL:
  • The exponential map is chaotic: An invitation to transcendental dynamics by Zhaiming Shen and Lasse Rempe-Gillen [2014/08]

• Aspects: REACHABILITY:
  • Hamilton-Jacobi Reachability: A Brief Overview and Recent Advantages by Somil Bansal et al. [2017/09]

• Aspects: SYMMETRIES:
  • Hidden Symmetries of Dynamics in Classical and Quantum Physics by Marco Cariglia [Reviews of Modern Physics 86, 1283 (2014)]
  • A brief guide to reversing and extended symmetries of dynamical systems by Michael Baake [2018/03]

• Aspects: TOPOLOGICAL METHODS:
  • Signatures [of quadratic forms] in algebra, topology and dynamics by Etienne Ghys and Andrew Ranicki [Ensaios Matematicos 30, 1 (2016)] 173 pp.
  • Topological Methods in the Quest for Periodic Orbits by Joa Weber [2018/02]

• Re: COSMOLOGY:
  • Dynamical systems in cosmology by Christian G. Boehmer and Nyein Chan [2014/09]

• Re: FLOW:
  • Lecture notes on the dynamics of the Weil-Petersson flow by Carlos Matheus [2014]

• Re: NEURAL NETS:
  • Neural Networks as dynamical systems by Bruno Cessac [2009/01]

• Re: QUATERNIONS:
  • Quaternions and dynamics by Basile Graf [2008/11]

ArXiv to

THE NET ADVANCE OF PHYSICS