Results 271 to 280 of about 279,855 (305)
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1998
A discrete dynamical system is a system which is discrete in time so we observe its dynamics not continuously but at the given moments of time like in the case of Poincare maps introduced in the previous chapter. The dynamics of discrete dynamical systems is usually simple enough to be explained in details.
Yushu Chen, Andrew Y. T. Leung
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A discrete dynamical system is a system which is discrete in time so we observe its dynamics not continuously but at the given moments of time like in the case of Poincare maps introduced in the previous chapter. The dynamics of discrete dynamical systems is usually simple enough to be explained in details.
Yushu Chen, Andrew Y. T. Leung
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2000
In this chapter we will study sequences defined by recurrence relations of the form x n+1 = f (x n ). This is a topic which has an interesting history and which has seen rapid development in recent years. Its study requires little in the way of mathematical preparation, and there are even interesting applications.
George C. D, Jean Michel F, Henri L
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In this chapter we will study sequences defined by recurrence relations of the form x n+1 = f (x n ). This is a topic which has an interesting history and which has seen rapid development in recent years. Its study requires little in the way of mathematical preparation, and there are even interesting applications.
George C. D, Jean Michel F, Henri L
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MEMORY EFFECTS IN DISCRETE DYNAMICAL SYSTEMS
International Journal of Bifurcation and Chaos, 1992Let fµ(s)=µs(1−s) be the family of logistic maps with parameter µ, 1≤µ≤4. We present a study of the second-order difference equation xn+1=fµ([1−∈]xn+∈xn−1), 0≤∈≤1, which reduces to the well-known logistic equation as ∈=0.
INVERNIZZI, SERGIO, Aicardi F.
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2009
Suppose we wish to describe some physical system. The dynamical systems approach considers the space X of all possible states of the system—think of a point x in X as representing physical data. We will assume that X is a subset of some normed vector space, often \({\mathbb{R}}\).
Kenneth R. Davidson, Allan P. Donsig
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Suppose we wish to describe some physical system. The dynamical systems approach considers the space X of all possible states of the system—think of a point x in X as representing physical data. We will assume that X is a subset of some normed vector space, often \({\mathbb{R}}\).
Kenneth R. Davidson, Allan P. Donsig
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2015
So far we have discussed the dynamics of continuous systems. An evolutionary process may also be expressed mathematically as discrete steps in time. Discrete systems are described by maps (difference equations). The composition of map generates the dynamics or flow of a discrete system.
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So far we have discussed the dynamics of continuous systems. An evolutionary process may also be expressed mathematically as discrete steps in time. Discrete systems are described by maps (difference equations). The composition of map generates the dynamics or flow of a discrete system.
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2016
This chapter introduces discrete dynamic systems by first looking at models for dynamic and static aspects of systems, before covering continuous and discrete systems.
Matthias Kunze, Mathias Weske
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This chapter introduces discrete dynamic systems by first looking at models for dynamic and static aspects of systems, before covering continuous and discrete systems.
Matthias Kunze, Mathias Weske
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Discrete Dynamical Systems [PDF]
, 2005 This manuscript analyzes the fundamental factors that govern the qualitative behavior of discrete dynamical systems. It introduces methods of analysis for stability analysis of discrete dynamical systems. The analysis focuses initially on the derivation of basic propositions about the factors that determine the local and global stability of discrete ...
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Discrete-event dynamic systems
IEEE Transactions on Control Systems Technology, 1999The supervisory control theory of discrete-event dynamic systems (DEDS), first introduced by Ramadge and Wonham, is based on an automata concept. Given a process, the objective of this theory is to design a supervisor in such a way that the process coupled with the supervisor behaves according to various constraints.
F. Charbonnier, H. Alla, R. David
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Discrete-Time Dynamical Systems
2017In this chapter, we introduce the two classes of discrete-time dynamical systems that we will focus on in the rest of the book: piecewise affine control systems with polytopic parameter uncertainties and switched linear systems. As particular instantiations of the first class, we define autonomous systems, fixed parameter systems, and combinations of ...
Calin Belta +2 more
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Discrete Linear Dynamical Systems
2013The theory of dynamical systems is concerned with describing and studying the evolution of systems over time, where a ‘system’ is represented as a vector of variables, and there is a fixed rule governing how the system evolves. Dynamical systems originate in the development of Newtonian mechanics, and have widespread applications in many areas of ...
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