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Autonomous system (mathematics)
About: Autonomous system (mathematics) is a research topic. Over the lifetime, 1648 publications have been published within this topic receiving 38373 citations.
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TL;DR: In this article, the authors apply known results from the theory of such systems to describe the resulting steady-state behavior and show that there may exist oscillatory systems which are not periodic.
Abstract: Almost all attempts at modeling ecosystem behavior use an autonomous system of differential equations. We may apply known results from the theory of such systems to describe the resulting steady-state behavior. For all but the very simplest systems, there may exist oscillatory systems which are not periodic. This represents the most general steady-state behavior. If equilibrium is attained, it can only be stable if at least one of the species is closely self-regulating in a sense to be defined. Some consequences of these results are discussed.
11 citations
10 Dec 2002
TL;DR: The MSF provides a distributed architecture that connects the autonomous system to a set of simulated components replacing the robot hardware and its environment, and will enable developers of autonomous control systems to test their Systems' performance against integrated, standardized simulations of NASA mission scenarios.
Abstract: Autonomy is a key enabling factor in the advancement of robotics for remote exploration. As the level of resources devoted to this effort continues to increase, it has become equally important to provide simulation tools and environments to scientists in which to test the autonomy algorithms. While industrial robotics benefits from a variety of high quality simulation tools, researchers developing autonomy software are still dependent primarily on block-world simulations. The Mission Simulation Facility (MSF) project addresses this shortcoming by providing a simulation toolkit that will enable developers of autonomous control systems to test their Systems' performance against integrated, standardized simulations of NASA mission scenarios. The MSF provides a distributed architecture that connects the autonomous system to a set of simulated components replacing the robot hardware and its environment.
11 citations
TL;DR: A three-dimensional continuous-time smooth autonomous system with quadratic nonlinear terms is proposed for generating multiscroll chaotic attractors and observation of 2 × 2-scroll attractors generated from this kind of system is reported for the first time.
Abstract: In this letter, a three-dimensional continuous-time smooth autonomous system with quadratic nonlinear terms is proposed for generating multiscroll chaotic attractors. Observation of 2 × 2-scroll attractors generated from this kind of system is reported for the first time. The result is confirmed by both numerical simulations and electronic circuit experiments.
11 citations
TL;DR: The dynamical properties of a kind of Lorenz-type systems with time-varying parameters are studied, and a simple method is provided to generate strange attractors, including both the strange nonchaotic attractors (SNAs) and chaotic attractors.
Abstract: The dynamical properties of a kind of Lorenz-type systems with time-varying parameters are studied. The time-varying ultimate bounds are estimated, and a simple method is provided to generate strange attractors, including both the strange nonchaotic attractors (SNAs) and chaotic attractors. The approach is: (i) take an autonomous system with an ultimate bound from the Lorenz family; (ii) add at least two time-varying parameters with incommensurate frequencies satisfying certain conditions; (iii) choose the proper initial position and time by numerical simulations. Three interesting examples are given to illustrate this method with computer simulations. The first one is derived from the classical Lorenz model, and generates an SNA. The second one generates an SNA or a Lorenz-like attractor. The third one exhibits the coexistence of two SNAs and a Lorenz-like attractor. The nonautonomous Lorenz-type systems present more realistic models, which provide further understanding and applications of the numerical analysis in weather and climate predication, synchronization, and other fields.
11 citations
TL;DR: The development of a vision system that has enabled a prototype UAV to follow shorelines autonomously (without requiring maps or GPS), and possibly points the way to future algorithms which could more closely couple image processing and control.
11 citations