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An Introduction to Piecewise Smooth Dynamics

, singularities, decomposition theorems and an introduction to kneading theory. Both courses contain many examples which illustrate the theoretical;

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Continuous And Discontinuous Piecewise-smooth One-dimensional Maps

The investigation of dynamics of piecewise-smooth maps is both intriguing from the mathematical point of view and important for;

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Bifurcations in Piecewise-Smooth Continuous Systems

Real-world systems that involve some non-smooth change are often well-modeled by piecewise-smooth systems. However there still remain many;

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Bifurcations And Chaos In Piecewise-smooth Dynamical Systems

Technical problems often lead to differential equations with piecewise-smooth right-hand sides. Problems in mechanical engineering, for;

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Introduction to Differential Geometry with applications to Navier-Stokes Dynamics

Introduction to Differential Geometry with applications to Navier-Stokes Dynamics is an invaluable manuscript for anyone who wants to;

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Nonlinear Dynamics Of Piecewise Constant Systems And Implementation Of Piecewise Constant Arguments

Piecewise constant systems exist in widely expanded areas such as engineering, physics, and mathemat;...

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Dynamics and Bifurcations of Non-Smooth Mechanical Systems

of non-smooth mechanical systems using techniques from both fields. The book reviews recent developments, and opens the field to the nonlinear;

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Introduction to Nonlinear Aeroelasticity

, nonlinear control laws, materials with nonlinear characteristics, etc. Introduction to Nonlinear Aeroelasticity covers the theoretical basics;

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Non-smooth Problems in Vehicle Systems Dynamics

of vehicle dynamical sytems. The results are also applicable to other non-smooth dynamical systems.;

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Dynamical Scale Transform In Tropical Geometry

presented by max and plus algebras. A comparison method is given which estimates orbits corresponding to different rational dynamics by reduction to;

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Medial/Skeletal Linking Structures for Multi-Region Configurations

}^{n+1}$ which may be either regions with smooth boundaries disjoint from the others or regions which meet on their piecewise smooth boundaries;

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Piecewise Deterministic Processes in Biological Models

This book presents a concise introduction to piecewise deterministic Markov processes (PDMPs), with particular emphasis on their;

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Hidden Dynamics

engineers from any background with a basic grounding in calculus and linear algebra. It seeks to provide an invaluable resource for modeling;

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Noncommutative Geometry and Cayley-smooth Orders

dimensional representations. After an introduction to partial desingularizations of commutative singularities from noncommutative algebras, the;

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Noncommutative Geometry and Cayley-smooth Orders

dimensional representations. After an introduction to partial desingularizations of commutative singularities from noncommutative algebras, the;

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A Smooth and Discontinuous Oscillator

This is the first book to introduce the irrational elliptic function series, providing a theoretical treatment for the smooth and;

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Differential Dynamical Systems

found in a traditional course on ordinary differential equations with an introduction to the more modern theory of dynamical systems;

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Differential Dynamical Systems

found in a traditional course on ordinary differential equations with an introduction to the more modern theory of dynamical systems;

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Adaptive Stochastic Methods

ways to analyze their properties and efficiency. Methods of evaluation of multidimensional integrals and solutions of integral equations are;

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Statistical Inference for Piecewise-deterministic Markov Processes

processes are characterized by an embedded Markov chain corresponding to the position of the process right after the jumps.;

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Modeling, Analysis And Control Of Dynamical Systems With Friction And Impacts

systems with friction and impacts. It fills a gap in the existing literature by offering an original contribution to the field of discontinuous;

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Curvature Measures of Singular Sets

, in particular, rectifiable currents are applied, and some important integral-geometric formulas are derived. Moreover, an approach to curvatures for a;

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Morse Theory

Morse Theory: Smooth and Discrete serves as an introduction to classical smooth Morse theory and to Forman's discrete Morse theory;

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An Introduction to the Kolmogorov Bernoulli Equivalence

This book offers an introduction to a classical problem in ergodic theory and smooth dynamics, namely, the Kolmogorov-Bernoulli (non;

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Smooth Manifolds and Observables

This book gives an introduction to fiber spaces and differential operators on smooth manifolds. Over the last 20 years, the authors;

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Foliations: Dynamics, Geometry And Topology

an introduction to Foliation Theory with emphasis on examples and transverse structures. Steven Hurder's lectures apply ideas from smooth;

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Intersection Cohomology

introduction to the piecewise linear and sheaf-theoretic versions of that theory as developed by M. Goresky and R. MacPherson in Topology 19 (1980;

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