A Numerical-Analytical Method for Constructing Periodic Solutions of the Lorenz System
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Publication:4965801
zbMath1469.34032arXiv2102.04794MaRDI QIDQ4965801
Publication date: 10 March 2021
Full work available at URL: https://arxiv.org/abs/2102.04794
Numerical computation of solutions to systems of equations (65H10) Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear ordinary differential equations and systems (34A34)
Related Items (2)
A family of periodic motions to chaos with infinite homoclinic orbits in the Lorenz system ⋮ periodic_sols
Uses Software
Cites Work
- The fractal property of the Lorenz attractor
- A rigorous ODE solver and Smale's 14th problem
- The Lindstedt--Poincaré Technique as an Algorithm for Computing Periodic Orbits
- Can we trust in numerical computations of chaotic solutions of dynamical systems ?
- VALIDATED STUDY OF THE EXISTENCE OF SHORT CYCLES FOR CHAOTIC SYSTEMS USING SYMBOLIC DYNAMICS AND INTERVAL TOOLS
- Determination of Unstable Limit Cycles in Chaotic Systems by the Method of Unrestricted Harmonic Balance
- Deterministic Nonperiodic Flow
- Toward Analytical Chaos in Nonlinear Systems
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