Numerical and physical modeling of the dynamics of the Lorenz system

2014/04/01 by Alexander N. Pchelintsev · 1 citation
Computer Science · Physics and Astronomy · Engineering · Mathematics · #Numerical Methods and Algorithms #Chaos control and synchronization #Power System Optimization and Stability #Lorenz system #Computer science #Physical system #Series (stratigraphy) #Numerical analysis #Numerical modeling #System dynamics #Dynamics (music) #Electric power system #Computer simulation #Statistical physics #Mathematics #Applied mathematics #Power (physics) #Simulation #Physics #Mathematical analysis #Chaotic #Artificial intelligence

paper · doi:10.1134/s1995423914020098

openalex publication_date 2014/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

This paper describes a modification of the method of power series for the construction of approximate solutions of the Lorenz system. The results of a computer-aided simulation are presented. Also, physical modeling of the dynamics of the Lorenz system for processes occurring in an electric circuit is considered.

Citations

• Metastable chaos: The transition to sustained chaotic behavior in the Lorenz model
• A Rigorous ODE Solver and Smale’s 14th Problem
• Deterministic Nonperiodic Flow

Cited by

• Lorenz system [wikipedia]

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