Titlebook: Nonlinear Difference Equations; Theory with Applicat Hassan Sedaghat Book 2003 Springer Science+Business Media B.V. 2003 Generation.Mode.bu

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tuates the temporality of life, they, whose life experience, deliberation, planning, reflection and dreaming are permeated by temporal motivations and concerns, feel that they are engaged in the spinning of a common thread. Attributing to that involvement universal laws, constant existential validit

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Dynamics on the Real Lineinearization theorems of Chapter 1 shed little light on the answers to these questions, since they are based on a very special class of continuous maps, namely, those that are linear. For mappings that are not linear, the linearized stability results leave artificial gaps for a given continuous mapp

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Vector Difference Equationsevertheless, there are some general results in the literature that suitably fit within the context of this book. This section presents a general theory of stability for invariant sets of maps of any Euclidean space. Such invariant sets include (but are not limited to) equilibria and limit cycles; in

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978-90-481-6215-4Springer Science+Business Media B.V. 2003

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Nonlinear Difference Equations978-94-017-0417-5Series ISSN 1386-2960

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PreliminariesA basic discrete dynamical system consists of a mapping . on a nonempty set . ⊂ ℝ. which we may call the .. The term “discrete” refers to the time scale, which is indexed by the iterations of . as described below. We often assume that . is continuous on ., although this is not always the case either in theory or in applications (see Section 3.4).