Bringing order to disorder: a method for stabilising a chaotic system around an arbitrary unstable periodic orbit
DOI10.1016/j.physd.2023.133905MaRDI QIDQ6090647
Christian Ankerstjerne Thilker, Mads Peter Sørensen
Publication date: 17 November 2023
Published in: Physica D (Search for Journal in Brave)
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamical systems in control (37N35) Periodic orbits of vector fields and flows (37C27) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Control/observation systems governed by ordinary differential equations (93C15) Numerical chaos (65P20) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Chaos control for problems involving ordinary differential equations (34H10)
Cites Work
- Unnamed Item
- Determining Lyapunov exponents from a time series
- Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
- SQP-methods for solving optimal control problems with control and state constraints: Adjoint variables, sensitivity analysis and real-time control
- On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
- The Generalized Problem of Bolza
- Controlling chaos
- An Interior Point Algorithm for Large-Scale Nonlinear Programming
- The Control of Chaos: Theoretical Schemes and Experimental Realizations
- Crises, sudden changes in chaotic attractors, and transient chaos
This page was built for publication: Bringing order to disorder: a method for stabilising a chaotic system around an arbitrary unstable periodic orbit
