Open AccessBook
Differential Equations and Dynamical Systems
TLDR
In this paper, the Third Edition of the Third edition of Linear Systems: Local Theory and Nonlinear Systems: Global Theory (LTLT) is presented, along with an extended version of the second edition.Abstract:
Series Preface * Preface to the Third Edition * 1 Linear Systems * 2 Nonlinear Systems: Local Theory * 3 Nonlinear Systems: Global Theory * 4 Nonlinear Systems: Bifurcation Theory * References * Indexread more
Citations
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Chaos: An Introduction to Dynamical Systems
TL;DR: One-dimensional maps, two-dimensional map, fractals, and chaotic attraction attractors have been studied in this article for state reconstruction from data, including the state of Washington.
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Observation and Control for Operator Semigroups
Marius Tucsnak,George Weiss +1 more
TL;DR: The main topics of interest about observation and control operators are admissibility, observability, controllability, stabilizability and detectability as discussed by the authors, which is a mature area of functional analysis, which is still very active.
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The Porous Medium Equation: Mathematical Theory
TL;DR: The Porous Medium Equation (PME) as discussed by the authors is one of the classical linear partial differential equations of second order that form the basis of any elementary introduction to the area of PDEs, and only recently has it come to be fairly well understood.
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Ordinary Differential Equations and Dynamical Systems
TL;DR: In this article, a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students is provided. But the authors do not discuss the use of software systems in the study of differential equations.
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Control theory for linear systems
TL;DR: Control Theory for Linear Systems as mentioned in this paper deals with the mathematical theory of feedback control of linear systems and treats a wide range of control synthesis problems for linear state space systems with inputs and outputs.
References
More filters
Book
Chaos: An Introduction to Dynamical Systems
TL;DR: One-dimensional maps, two-dimensional map, fractals, and chaotic attraction attractors have been studied in this article for state reconstruction from data, including the state of Washington.
Book
Observation and Control for Operator Semigroups
Marius Tucsnak,George Weiss +1 more
TL;DR: The main topics of interest about observation and control operators are admissibility, observability, controllability, stabilizability and detectability as discussed by the authors, which is a mature area of functional analysis, which is still very active.
Book
The Porous Medium Equation: Mathematical Theory
TL;DR: The Porous Medium Equation (PME) as discussed by the authors is one of the classical linear partial differential equations of second order that form the basis of any elementary introduction to the area of PDEs, and only recently has it come to be fairly well understood.
Book
Ordinary Differential Equations with Applications
TL;DR: In this paper, the authors introduce the notion of Ordinary Differential Equations (ODE) for linear systems and the stability of nonlinear systems and apply it to Hyperbolic Theory.
Book
Ordinary Differential Equations and Dynamical Systems
TL;DR: In this article, a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students is provided. But the authors do not discuss the use of software systems in the study of differential equations.