Dynamical Systems

Normal Forms and Unfoldings for Local Dynamical Systems (Repost)  eBooks & eLearning

Posted by AvaxGenius at Aug. 7, 2018
Normal Forms and Unfoldings for Local Dynamical Systems (Repost)

Normal Forms and Unfoldings for Local Dynamical Systems by James Murdock
English | PDF | 2003 | 508 Pages | ISBN : 1441930132 | 47.72 MB

The subject of local dynamical systems is concerned with the following two questions: 1. Given an n×n matrix A, describe the behavior, in a neighborhood of the origin, of the solutions of all systems of di?erential equations having a rest point at the origin with linear part Ax, that is, all systems of the form x ? = Ax+··· , n where x? R and the dots denote terms of quadratic and higher order. 2. Describethebehavior(neartheorigin)ofallsystemsclosetoasystem of the type just described.

Dynamical Systems: Differential equations, maps and chaotic behavior  eBooks & eLearning

Posted by Jeembo at July 28, 2018
Dynamical Systems: Differential equations, maps and chaotic behavior

Dynamical Systems: Differential equations, maps and chaotic behavior by David Arrowsmith
English | 1992 | ISBN: 9401050538 | 330 Pages | DJVU | 6.6 MB

In recent years there has been unprecedented popular interest in the chaotic behaviour of discrete dynamical systems.
Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting (Repost)

Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting By Eugene M. Izhikevich
2007 | 528 Pages | ISBN: 0262090430 | PDF | 9 MB

Normal Forms and Unfoldings for Local Dynamical Systems (Repost)  eBooks & eLearning

Posted by AvaxGenius at July 22, 2018
Normal Forms and Unfoldings for Local Dynamical Systems (Repost)

Normal Forms and Unfoldings for Local Dynamical Systems by James Murdock
English | PDF | 2003 | 508 Pages | ISBN : 1441930132 | 47.72 MB

The subject of local dynamical systems is concerned with the following two questions: 1. Given an n×n matrix A, describe the behavior, in a neighborhood of the origin, of the solutions of all systems of di?erential equations having a rest point at the origin with linear part Ax, that is, all systems of the form x ? = Ax+··· , n where x? R and the dots denote terms of quadratic and higher order. 2. Describethebehavior(neartheorigin)ofallsystemsclosetoasystem of the type just described.
Analysis of Chaotic Behavior in Non-linear Dynamical Systems: Models and Algorithms for Quaternions

Analysis of Chaotic Behavior in Non-linear Dynamical Systems: Models and Algorithms for Quaternions by Michał Piórek
English | PDF,EPUB | 2018 (2019 Edition) | 136 Pages | ISBN : 3319948865 | 9.92 MB

This book presents a new approach for the analysis of chaotic behavior in non-linear dynamical systems, in which output can be represented in quaternion parametrization. It offers a new family of methods for the analysis of chaos in the quaternion domain along with extensive numerical experiments performed on human motion data and artificial data. All methods and algorithms are designed to allow detection of deterministic chaos behavior in quaternion data representing the rotation of a body in 3D space. This book is an excellent reference for engineers, researchers, and postgraduate students conducting research on human gait analysis, healthcare informatics, dynamical systems with deterministic chaos or time series analysis.

Differential Geometry and Topology: With a View to Dynamical Systems (repost)  eBooks & eLearning

Posted by arundhati at July 6, 2018
Differential Geometry and Topology: With a View to Dynamical Systems (repost)

Keith Burns and Marian Gidea, "Differential Geometry and Topology: With a View to Dynamical Systems"
English | ISBN: 1584882530 | 2005 | 400 pages | PDF | 9 MB

Normal Forms and Unfoldings for Local Dynamical Systems (Repost)  eBooks & eLearning

Posted by AvaxGenius at July 3, 2018
Normal Forms and Unfoldings for Local Dynamical Systems (Repost)

Normal Forms and Unfoldings for Local Dynamical Systems by James Murdock
English | PDF | 2003 | 508 Pages | ISBN : 1441930132 | 47.72 MB

The subject of local dynamical systems is concerned with the following two questions: 1. Given an n×n matrix A, describe the behavior, in a neighborhood of the origin, of the solutions of all systems of di?erential equations having a rest point at the origin with linear part Ax, that is, all systems of the form x ? = Ax+··· , n where x? R and the dots denote terms of quadratic and higher order. 2. Describethebehavior(neartheorigin)ofallsystemsclosetoasystem of the type just described.
Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics (Repost)

Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics: CIRM Jean-Morlet Chair, Fall 2016 by Sébastien Ferenczi
English | PDF,EPUB | 2018 | 434 Pages | ISBN : 3319749072 | 16.88 MB

This book concentrates on the modern theory of dynamical systems and its interactions with number theory and combinatorics. The greater part begins with a course in analytic number theory and focuses on its links with ergodic theory, presenting an exhaustive account of recent research on Sarnak's conjecture on Möbius disjointness. Selected topics involving more traditional connections between number theory and dynamics are also presented, including equidistribution, homogenous dynamics, and Lagrange and Markov spectra. In addition, some dynamical and number theoretical aspects of aperiodic order, some algebraic systems, and a recent development concerning tame systems are described.

Dynamical Systems on Networks: A Tutorial  eBooks & eLearning

Posted by roxul at June 25, 2018
Dynamical Systems on Networks: A Tutorial

Porter, Mason A., Gleeson, James P., "Dynamical Systems on Networks: A Tutorial"
English | 2016 | ISBN-10: 3319266403 | 80 pages | EPUB | 1 MB
Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics

Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics: CIRM Jean-Morlet Chair, Fall 2016 by Sébastien Ferenczi
English | PDF,EPUB | 2018 | 434 Pages | ISBN : 3319749072 | 16.88 MB

This book concentrates on the modern theory of dynamical systems and its interactions with number theory and combinatorics. The greater part begins with a course in analytic number theory and focuses on its links with ergodic theory, presenting an exhaustive account of recent research on Sarnak's conjecture on Möbius disjointness. Selected topics involving more traditional connections between number theory and dynamics are also presented, including equidistribution, homogenous dynamics, and Lagrange and Markov spectra. In addition, some dynamical and number theoretical aspects of aperiodic order, some algebraic systems, and a recent development concerning tame systems are described.