Convergence, Oscillations, and Chaos in a Discrete Model of Combat
نویسنده
چکیده
A piecewise smooth mapping of the three-dimensional Euclidean space is derived from a discrete-time model of combat. The mathematical analysis of this mapping focuses on the effects of discontinuity caused by the defender’s withdrawal strategy—a prime component of the original model. Both the asymptotics and the transient behavior are discussed, and all the behavior types noted in the title are established as possible outcomes.
منابع مشابه
Investigation and Control of Unstable Chaotic Behavior Using of Chaos Theory in Two Electrical Power Systems: 1-Buck Converter2- Power Transformer
This paper consist of two sections: control and stabilizing approach for chaotic behaviour of converter is introduced in first section of this paper for the removal of harmonic caused by the chaotic behaviour in current converter. For this work, a Time- Delayed Feedback Controller (TDFC) control method for stability chaotic behaviour of buck converter for switching courses in current control mo...
متن کاملBifurcation and Chaos in Size-Dependent NEMS Considering Surface Energy Effect and Intermolecular Interactions
The impetus of this study is to investigate the chaotic behavior of a size-dependent nano-beam with double-sided electrostatic actuation, incorporating surface energy effect and intermolecular interactions. The geometrically nonlinear beam model is based on Euler-Bernoulli beam assumption. The influence of the small-scale and the surface energy effect are modeled by implementing the consistent ...
متن کاملChaotic oscillations in a map-based model of neural activity.
We propose a discrete time dynamical system (a map) as a phenomenological model of excitable and spiking-bursting neurons. The model is a discontinuous two-dimensional map. We find conditions under which this map has an invariant region on the phase plane, containing a chaotic attractor. This attractor creates chaotic spiking-bursting oscillations of the model. We also show various regimes of o...
متن کاملRobust Coordinated Design of UPFC Damping Controller and PSS Using Chaotic Optimization Algorithm
A Chaotic Optimization Algorithm (COA) based approach for the robust coordinated design of the UPFC power oscillation damping controller and the conventional power system stabilizer has been investigated in this paper. Chaotic Optimization Algorithms, which have the features of easy implementation, short execution time and robust mechanisms of escaping from local optimum, is a promising tool fo...
متن کاملOscillations in Discrete and Continuous Hoppeld Networks
This chapter is neatly partitioned into two parts: one dealing with oscillations in discrete Hoppeld networks and the other with oscillations in continuous Hoppeld networks. The single theme spanning both parts is that of the Hoppeld model and its energy function. The rst part deals with analyzing oscillations in the discrete Hoppeld network with symmetric weights, and speculating on possible u...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- SIAM Review
دوره 44 شماره
صفحات -
تاریخ انتشار 2002