On Reliable Computation of Lifetime in Transient Chaos
From MaRDI portal
Publication:5158803
DOI10.1142/S0218127421501935zbMath1481.37104OpenAlexW3210603200MaRDI QIDQ5158803
Bin Xie, Tianzhuang Xu, Shi-Jun Liao
Publication date: 26 October 2021
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127421501935
Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Computational methods for attractors of dynamical systems (37M22)
Uses Software
Cites Work
- Unnamed Item
- A procedure for finding numerical trajectories on chaotic saddles
- Computational uncertainty principle in ordinary differential equations. II. Theoretical analysis
- Computational chaos - a prelude to computational instability
- Do numerical orbits of chaotic dynamical processes represent true orbits?
- Preturbulence: A regime observed in a fluid flow model of Lorenz
- \(\omega\)-limit sets for axiom A diffeomorphisms
- The PIM-simplex method: an extension of the PIM-triple method to saddles with an arbitrary number of expanding directions
- Influence of numerical noises on computer-generated simulation of spatio-temporal chaos
- On the risks of using double precision in numerical simulations of spatio-temporal chaos
- Transient chaos. Complex dynamics in finite-time scales
- Julia: A Fresh Approach to Numerical Computing
- Numerical orbits of chaotic processes represent true orbits
- A Fast Shadowing Algorithm for High-Dimensional ODE Systems
- MPFR
- Rigorous verification of trajectories for the computer simulation of dynamical systems
- Shadowing of physical trajectories in chaotic dynamics: Containment and refinement
- Deterministic Nonperiodic Flow
- Partially controlling transient chaos in the Lorenz equations
- Sensitive dependence on initial conditions in transition to turbulence in pipe flow
- Crises, sudden changes in chaotic attractors, and transient chaos
