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Linear Discrete Dynamical Systems

2001
To 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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Linear Impulsive Dynamic Systems

2019
Suppose that \(\mathbb {T}\) be an unbounded above time scale with forward jump operator and delta differentiation operator σ and Δ, respectively. Let also, \(0\in \mathbb {T}\), \(\{t_k\}_{k\in \mathbb {N}}\subset \mathbb {T}\) be such that $$\displaystyle 0\leq ...
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Linear Hybrid Dynamical Systems

2002
Hybrid dynamical systems are systems that combine continuous dynamics and discrete events. In practice, hybrid systems arise when some parts of a physical system can be modeled by differential equations while other parts are more conveniently described by logic or discrete-event systems.
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