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Smooth And Nonsmooth High Dimensional Chaos And The Melnikov-type Methods

This book focuses on the development of Melnikov-type methods applied to high dimensional dynamical systems governed by ordinary;

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Bifurcation And Chaos In Nonsmooth Mechanical Systems

This book presents the theoretical frame for studying lumped nonsmooth dynamical systems: the mathematical methods are recalled, and;

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Poincar-Andronov-Melnikov Analysis for Non-Smooth Systems

how Poincar-Andronov-Melnikov analysis can be used to solve them Investigates the relationship between non-smooth systems and their;

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Lie-Backlund-Darboux Transformations

This is an interdisciplinary monograph at the cutting edges of infinite dimensional dynamical systems, partial differential equations, and;

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Bifurcations And Chaos In Piecewise-smooth Dynamical Systems

-choice bifurcations, new types of direct transitions to chaos, and torus destruction in nonsmooth systems.In spite of its orientation towards;

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Difference Methods for Singular Perturbation Problems

-diffusion equations in n-dimensional domains with smooth and piecewise-smooth boundaries. The authors develop a technique for constructing and;

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Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems

the tools of nonlinear operators. Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems offers a comprehensive treatment;

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Nonsmooth Optimization Methods

Nonsmooth Optimization Methods and Applications provides an overview of this branch of mathematics, concentrating on the interaction;

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Nonlinear Differential Problems with Smooth and Nonsmooth Constraints

Nonlinear Differential Problems with Smooth and Nonsmooth Constraints systematically evaluates how to solve boundary value problems;

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Numerical Nonsmooth Optimization

Solving nonsmooth optimization (NSO) problems is critical in many practical applications and real-world modeling systems. The aim of this;

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Modeling with Nonsmooth Dynamics

solve nonsmooth models. The author illustrates these with simple examples based on genetic regulation and investment games, and proposes precise;

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Optimization for Data Analysis

of the analysis of nonsmooth functions and optimization duality; and the back-propagation approach, relevant to neural networks.;

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Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems

for both smooth and nonsmooth functional, developments on the degree theory of monotone type operators, nonlinear maximum and comparison;

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An Introduction to Nonlinear Optimization Theory

The goal of this book is to present the main ideas and techniques in the field of continuous smooth and nonsmooth optimization. Starting;

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Computational Methods for Inverse Problems in Imaging

for smooth and nonsmooth convex minimization, on the use of structured (numerical) linear algebra, and on multilevel techniques. It also;

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Computational Methods for Inverse Problems in Imaging

for smooth and nonsmooth convex minimization, on the use of structured (numerical) linear algebra, and on multilevel techniques. It also;

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Fundamentals of High Dimensional Statistics

the theory and practice of high-dimensional linear regression, graphical models, and inference, ensuring readers have a smooth start in the;

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Numerical Methods for Stochastic Computations

from high-dimensional problems. The last section is devoted to the application of gPC methods to critical areas such as inverse problems and;

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An Introduction to Piecewise Smooth Dynamics

of nonsmooth systems for its own sake. It is divided in two complementary courses: piecewise smooth flows and maps, respectively. Starting from well;

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Adaptive Identification and Control of Uncertain Systems with Non-smooth Dynamics

Adaptive Identification and Control of Uncertain Systems with Nonsmooth Dynamics reports some of the latest research on modeling;

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Noncommutative Geometry and Cayley-smooth Orders

Noncommutative Geometry and Cayley-smooth Orders explains the theory of Cayley-smooth orders in central simple algebras over function;

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Noncommutative Geometry and Cayley-smooth Orders

Noncommutative Geometry and Cayley-smooth Orders explains the theory of Cayley-smooth orders in central simple algebras over function;

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Continuous And Discontinuous Piecewise-smooth One-dimensional Maps

repelling invariant sets of continuous and discontinuous one-dimensional piecewise-smooth maps. We describe the bifurcations occurring in these maps;

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Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints

and prove that at a local minimizer of the corresponding Euler functional, this degree equals one. Then they use this result to prove;

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Variational and Monotonicity Methods in Nonsmooth Analysis

sections, both variational and topological methods are developed based on critical and fixed point results for nonsmooth functions. The authors;

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Design of Digital Chaotic Systems Updated by Random Iterations

high-dimensional settings, and establishes a general framework for composing them. The contributors demonstrate that the associated state;

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