Can We Obtain a Reliable Convergent Chaotic Solution in any Given Finite Interval of Time?
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Publication:2932627
DOI10.1142/S0218127414501193zbMath1301.34059arXiv1401.0256MaRDI QIDQ2932627
Publication date: 3 December 2014
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.0256
Nonlinear ordinary differential equations and systems (34A34) Complex behavior and chaotic systems of ordinary differential equations (34C28) Numerical methods for ordinary differential equations (65L99)
Related Items (3)
On the risks of using double precision in numerical simulations of spatio-temporal chaos ⋮ Clean numerical simulation: a new strategy to obtain reliable solutions of chaotic dynamic systems ⋮ On the analysis of pseudo-orbits of continuous chaotic nonlinear systems simulated using discretization schemes in a digital computer
Cites Work
- Computational uncertainty and the application of a high-performance multiple precision scheme to obtaining the correct reference solution of Lorenz equations
- VSVO formulation of the Taylor method for the numerical solution of ODEs
- Computational uncertainty principle in ordinary differential equations. II. Theoretical analysis
- Computational chaos - a prelude to computational instability
- Mathematical problems for the next century
- Solving Ordinary Differential Equations Using Taylor Series
- Deterministic Nonperiodic Flow
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