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Difference Equations, Discrete Dynamical Systems and Applications

ICDEA, Wuhan, China, July 21-25, 2014

Edited by Martin Bohner, Yiming Ding, Ondřej Došlý ...

Series series Springer Nature Proceedings excluding Computer Science
These proceedings of the 20th International Conference on Difference Equations and Applications cover the areas of difference equations, discrete dynamical systems, fractal geometry, difference equations and biomedical models, and discrete models in the natural sciences, social sciences and engineering.The conference was held at the Wuhan Institute of Physics and Mathematics, Chinese Academy of ... Read more

$89.99 USD

These proceedings of the 20th International Conference on Difference Equations and Applications cover the areas of difference equations, discrete dynamical systems, fractal geometry, difference equations and biomedical models, and discrete models in the natural sciences, social sciences and engineering.The conference was held at the Wuhan Institute of Physics and Mathematics, Chinese Academy of
... Read more

Advanced H∞ Control

Towards Nonsmooth Theory and Applications

by Luis T. Aguilar, Yury V. Orlov ...

Series series Mathematics and Statistics (R0)
This compact monograph is focused on disturbance attenuation in nonsmooth dynamic systems, developing an H**∞ approach in the nonsmooth setting. Similar to the standard nonlinear H**∞ approach, the proposed nonsmooth design guarantees both the internal asymptotic stability of a nominal closed-loop system and the dissipativity inequality, which states that the size of an error signal is uniformly ... Read more

$49.99 USD

This compact monograph is focused on disturbance attenuation in nonsmooth dynamic systems, developing an H**∞ approach in the nonsmooth setting. Similar to the standard nonlinear H**∞ approach, the proposed nonsmooth design guarantees both the internal asymptotic stability of a nominal closed-loop system and the dissipativity inequality, which states that the size of an error signal is uniformly
... Read more
Differential and Difference Equations with Applications

Contributions from the International Conference on Differential & Difference Equations and Applications

Edited by Sandra Pinelas, Michel Chipot, Zuzana Dosla ...

Series series Springer Nature Proceedings excluding Computer Science
The volume contains carefully selected papers presented at the International Conference on Differential & Difference Equations and Applications held in Ponta Delgada – Azores, from July 4-8, 2011 in honor of Professor Ravi P. Agarwal. The objective of the gathering was to bring together researchers in the fields of differential & difference equations and to promote the exchange of ideas and ... Read more

$89.99 USD

The volume contains carefully selected papers presented at the International Conference on Differential & Difference Equations and Applications held in Ponta Delgada – Azores, from July 4-8, 2011 in honor of Professor Ravi P. Agarwal. The objective of the gathering was to bring together researchers in the fields of differential & difference equations and to promote the exchange of ideas and
... Read more
Singular Perturbations

Introduction to System Order Reduction Methods with Applications

by Elena Shchepakina, Vladimir Sobolev, Michael P. Mortell ...

Series series Mathematics and Statistics (R0)
These lecture notes provide a fresh approach to investigating singularly perturbed systems using asymptotic and geometrical techniques. It gives many examples and step-by-step techniques, which will help beginners move to a more advanced level.Singularly perturbed systems appear naturally in the modelling of many processes that are characterized by slow and fast motions simultaneously, for example ... Read more

$49.49 USD

These lecture notes provide a fresh approach to investigating singularly perturbed systems using asymptotic and geometrical techniques. It gives many examples and step-by-step techniques, which will help beginners move to a more advanced level.Singularly perturbed systems appear naturally in the modelling of many processes that are characterized by slow and fast motions simultaneously, for example
... Read more
Dynamical Systems with Applications using MATLAB®

by Stephen Lynch ...

Series series Mathematics and Statistics (R0)
This textbook, now in its second edition, provides a broad introduction to both continuous and discrete dynamical systems, the theory of which is motivated by examples from a wide range of disciplines. It emphasizes applications and simulation utilizing MATLAB®, Simulink®, the Image Processing Toolbox® and the Symbolic Math toolbox®, including MuPAD.Features new to the second edition include· ... Read more

$62.99 USD

This textbook, now in its second edition, provides a broad introduction to both continuous and discrete dynamical systems, the theory of which is motivated by examples from a wide range of disciplines. It emphasizes applications and simulation utilizing MATLAB®, Simulink®, the Image Processing Toolbox® and the Symbolic Math toolbox®, including MuPAD.Features new to the second edition include·
... Read more
Ordinary Differential Equations and Mechanical Systems

by Jan Awrejcewicz ...

Series series Mathematics and Statistics (R0)
This book applies a step-by-step treatment of the current state-of-the-art of ordinary differential equations used in modeling of engineering systems/processes and beyond. It covers systematically ordered problems, beginning with first and second order ODEs, linear and higher-order ODEs of polynomial form, theory and criteria of similarity, modeling approaches, phase plane and phase space concepts ... Read more

$89.09 USD

This book applies a step-by-step treatment of the current state-of-the-art of ordinary differential equations used in modeling of engineering systems/processes and beyond. It covers systematically ordered problems, beginning with first and second order ODEs, linear and higher-order ODEs of polynomial form, theory and criteria of similarity, modeling approaches, phase plane and phase space concepts
... Read more
Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles

by Maoan Han, Pei Yu ...

Series series Mathematics and Statistics (R0)
Dynamical system theory has developed rapidly over the past fifty years. It is a subject upon which the theory of limit cycles has a significant impact for both theoretical advances and practical solutions to problems. Hopf bifurcation from a center or a focus is integral to the theory of bifurcation of limit cycles, for which normal form theory is a central tool. Although Hopf bifurcation has ... Read more

$49.49 USD

Dynamical system theory has developed rapidly over the past fifty years. It is a subject upon which the theory of limit cycles has a significant impact for both theoretical advances and practical solutions to problems. Hopf bifurcation from a center or a focus is integral to the theory of bifurcation of limit cycles, for which normal form theory is a central tool. Although Hopf bifurcation has
... Read more
Regularity and Stochasticity of Nonlinear Dynamical Systems

Edited by Dimitri Volchenkov, Xavier Leoncini ...

Series series Engineering (R0)
This book presents recent developments in nonlinear dynamics and physics with an emphasis on complex systems. The contributors provide recent theoretic developments and new techniques to solve nonlinear dynamical systems and help readers understand complexity, stochasticity, and regularity in nonlinear dynamical systems. This book covers integro-differential equation solvability, Poincare ... Read more

$89.09 USD

This book presents recent developments in nonlinear dynamics and physics with an emphasis on complex systems. The contributors provide recent theoretic developments and new techniques to solve nonlinear dynamical systems and help readers understand complexity, stochasticity, and regularity in nonlinear dynamical systems. This book covers integro-differential equation solvability, Poincare
... Read more
Dynamics of Quasi-Stable Dissipative Systems

by Igor Chueshov ...

Series series Mathematics and Statistics (R0)
This book is devoted to background material and recently developed mathematical methods in the study of infinite-dimensional dissipative systems. The theory of such systems is motivated by the long-term goal to establish rigorous mathematical models for turbulent and chaotic phenomena. The aim here is to offer general methods and abstract results pertaining to fundamental dynamical systems ... Read more

$49.99 USD

This book is devoted to background material and recently developed mathematical methods in the study of infinite-dimensional dissipative systems. The theory of such systems is motivated by the long-term goal to establish rigorous mathematical models for turbulent and chaotic phenomena. The aim here is to offer general methods and abstract results pertaining to fundamental dynamical systems
... Read more
Chaotic Dynamics in Nonlinear Theory

by Lakshmi Burra ...

Using phase–plane analysis, findings from the theory of topological horseshoes and linked-twist maps, this book presents a novel method to prove the existence of chaotic dynamics. In dynamical systems, complex behavior in a map can be indicated by showing the existence of a Smale-horseshoe-like structure, either for the map itself or its iterates. This usually requires some assumptions about the ... Read more

$49.99 USD

Using phase–plane analysis, findings from the theory of topological horseshoes and linked-twist maps, this book presents a novel method to prove the existence of chaotic dynamics. In dynamical systems, complex behavior in a map can be indicated by showing the existence of a Smale-horseshoe-like structure, either for the map itself or its iterates. This usually requires some assumptions about the
... Read more
Dynamics of Partial Differential Equations

by C. Eugene Wayne, Michael I. Weinstein ...

Series series Mathematics and Statistics (R0)
This book contains two review articles on the dynamics of partial differential equations that deal with closely related topics but can be read independently.Wayne reviews recent results on the global dynamics of the two-dimensional Navier-Stokes equations. This system exhibits stable vortex solutions: the topic of Wayne's contribution is how solutions that start from arbitrary initial conditions ... Read more

$44.99 USD

This book contains two review articles on the dynamics of partial differential equations that deal with closely related topics but can be read independently.Wayne reviews recent results on the global dynamics of the two-dimensional Navier-Stokes equations. This system exhibits stable vortex solutions: the topic of Wayne's contribution is how solutions that start from arbitrary initial conditions
... Read more
Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control

by Russell Johnson, Rafael Obaya, Sylvia Novo, Carmen Núñez, Roberta Fabbri ...

Series series Mathematics and Statistics (R0)
This monograph contains an in-depth analysis of the dynamics given by a linear Hamiltonian system of general dimension with nonautonomous bounded and uniformly continuous coefficients, without other initial assumptions on time-recurrence. Particular attention is given to the oscillation properties of the solutions as well as to a spectral theory appropriate for such systems. The book contains ... Read more

$98.99 USD

This monograph contains an in-depth analysis of the dynamics given by a linear Hamiltonian system of general dimension with nonautonomous bounded and uniformly continuous coefficients, without other initial assumptions on time-recurrence. Particular attention is given to the oscillation properties of the solutions as well as to a spectral theory appropriate for such systems. The book contains
... Read more

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Springer Nature Proceedings excluding Computer Science

Difference Equations, Discrete Dynamical Systems and Applications

People who read this also enjoyed

Advanced H∞ Control

Differential and Difference Equations with Applications

Singular Perturbations

Dynamical Systems with Applications using MATLAB®

Ordinary Differential Equations and Mechanical Systems

Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles

Regularity and Stochasticity of Nonlinear Dynamical Systems

Dynamics of Quasi-Stable Dissipative Systems

Chaotic Dynamics in Nonlinear Theory

Dynamics of Partial Differential Equations

Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control

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