Dynamical Systems: From Classical Mechanics and Astronomy to Modern Methods

Arni S.R.Srinivasa Rao, Steven G. Krantz

Research output: Contribution to journalReview articlepeer-review


We describe topological dynamics over a space by starting from a simple ODE emerging out of two coupled variables. We describe the dynamics of the evolution of points in space within the deterministic and stochastic frameworks. Historically dynamical systems were associated with celestial mechanics. The core philosophies of two kinds of dynamics emerging from Poincaré and Lyapunov are described. Smale’s contributions are highlighted. Markovian models are considered. Semi-group actions are a tool in this study.

Original languageEnglish (US)
Pages (from-to)419-429
Number of pages11
JournalJournal of the Indian Institute of Science
Issue number3
StatePublished - Jul 2021


  • Evolution
  • Stochastic dynamics
  • Topological dynamics

ASJC Scopus subject areas

  • General


Dive into the research topics of 'Dynamical Systems: From Classical Mechanics and Astronomy to Modern Methods'. Together they form a unique fingerprint.

Cite this