Optimal targeting of chaos
نویسندگان
چکیده
Standard graph theoretic algorithms are applied to chaotic dynamical systems to identify orbits that are optimal relative to a prespecified cost function. We reduce the targeting problem to the problem of finding optimal paths through a graph. Numerical experiments on one-dimensional maps suggest that periodic saddle orbits of low period are typically less expensive to target (relative to a family of smooth cost functions) than periodic saddle orbits of high period. c © 1998 Elsevier Science
منابع مشابه
Chaotic Test and Non-Linearity of Abnormal Stock Returns: Selecting an Optimal Chaos Model in Explaining Abnormal Stock Returns around the Release Date of Annual Financial Statements
For many investors, it is important to predict the future trend of abnormal stock returns. Thus, in this research, the abnormal stock returns of the listed companies in Tehran Stock Exchange were tested since 2008- 2017 using three hypotheses. The first and second hypotheses examined the non-linearity and non-randomness of the abnormal stock returns ′ trend around the release date of annual fin...
متن کاملSuppression of Chaotic Behavior in Duffing-holmes System using Backstepping Controller Optimized by Unified Particle Swarm Optimization Algorithm
The nonlinear behavior analysis and chaos control for Duffing-Holmes chaotic system is discussed in the paper. In order to suppress the irregular chaotic motion, an optimal backstepping controller is designed. The backstepping method consists of parameters with positive values. The improper selection of the parameters leads to inappropriate responses or even may lead to instability of the syste...
متن کاملOil Price Shock and Optimal Monetary Policy in a Model of Small Open Oil Exporting Economy - Case of Iran
Oil price shocks are the main source of macroeconomic fluctuations in oil exporting countries. It is believed that appropriate monetary policy can help to stabilize these unwanted variations toward optimal allocations. A stochastic dynamic general equilibrium model featuring the properties of both cost push and wealth effect transmission channels is developed for the Iranian economy. In thi...
متن کاملDesign of Targeting Cost Function for Evolutionary Optimization of Chaos Control
This contribution deals with optimization of the control of chaos by means of evolutionary algorithms. The main aim of this work is to show that evolutionary algorithms are capable of optimization of chaos control and to show several methods of constructing the complex targeting cost function leading to satisfactory results. As a model of deterministic chaotic system the two dimensional Henon m...
متن کاملA Multi-UAV Targeting Algorithm for Ensemble Forecast Improvement
This paper presents an algorithm for targeting a team of UAVs as sensor platforms to ensure the improvement in the forecast at a separate verification time and location within the ensemble forecast framework. The information gain at the verification time/space is used as a metric of the forecast uncertainty reduction, and a computationally efficient backward selection method forms the backbone ...
متن کامل