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, 2013
This book contains theoretical and application-oriented methods to treat models of dynamical systems involving non-smooth nonlinearities. The theoretical approach that has been retained and underlined in this work is associated with differential ...
J. Bastien +3 more
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This book contains theoretical and application-oriented methods to treat models of dynamical systems involving non-smooth nonlinearities. The theoretical approach that has been retained and underlined in this work is associated with differential ...
J. Bastien +3 more
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Positive Dynamical Systems in Discrete Time: Theory, Models, and Applications
, 2015This book provides a systematic, rigorous and self-contained treatment of positive dynamical systems. A dynamical system is positive when all relevant variables of a systemare nonnegative in a natural way.
U. Krause
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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.
Jean Michel F, Henri L, George C. D
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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.
Jean Michel F, Henri L, George C. D
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Linear Discrete Dynamical Systems
2001To introduce recurrence relations for first-and second-order difference equations. To introduce the theory of the Leslie model. To apply the theory to modeling the population of a single species.
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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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Discrete-event dynamic systems [PDF]
IEEE Transactions on Control Systems Technology, 1999 The 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.
René David, F. Charbonnier, H. Alla
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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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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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ON THE LOGIC OF DISCRETE SYSTEMS DYNAMICS [PDF]
Kybernetes, 1980 This paper deals with the area of problems concerning the discrete systems dynamics and is also related to Wonham's principle of internal model. The authors consider the case of systems with an invariant subsystem and use the improved modelling tool of the theory of topoi.
C.V. Negoita, R. Roman
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Chaotification of nonautonomous Discrete Dynamical Systems
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2011This paper focuses on the chaotification of nonautonomous discrete dynamical systems in finite-dimensional and general Banach spaces by feedback control techniques.
Qiuling Huang, Yuming Shi, Lijuan Zhang
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