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**About this book :- **
**Mathematics of Complexity & Dynamical Systems ** written by
** Abdul-Majid Wazwaz, Robert A. Meyers**.

Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifracticals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.

(Abdul Majid Wazwaz)

**Book Detail :- **
** Title: ** Mathematics of Complexity & Dynamical Systems
** Edition: **
** Author(s): ** Abdul-Majid Wazwaz, Robert A. Meyers
** Publisher: ** Springer-Verlag New York
** Series: **
** Year: ** 2011
** Pages: ** 1884
** Type: ** PDF
** Language: ** English
** ISBN: ** 978-1-4614-1805-4,978-1-4614-1806-1
** Country: ** US
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**About Author :- **

The author **Abdul Majid Wazwaz** is Professor of Mathematics, Department of Mathematics, Saint Xavier University, Chicago, IL 60655, US.

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** • Download PDF Mathematics of Complexity & Dynamical Systems by Abdul-Majid Wazwaz **

** • Download PDF Partial Differential Equations and Solitary Waves Theory by Abdul Majid Wazwaz **

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**Book Contents :- **
**Mathematics of Complexity & Dynamical Systems ** written by
** Abdul-Majid Wazwaz, Robert A. Meyers**
cover the following topics.
'

Adomian Decomposition Method Applied to Non-linear Evolution Equations in Soliton Theory Abdul-Majid Wazwaz

Anomalous Diffusion on Fractal Networks Igor M. Sokolov

Biological Fluid Dynamics, Non-linear Partial Differential Equations

Antonio DeSimone, François Alouges, Aline Lefebvre Catastrophe Theory Werner Sanns

Center Manifolds George Osipenko Chaos and Ergodic Theory Jérôme Buzzi

Chronological Calculus in Systems and Control Theory Matthias Kawski

Control of Non-linear Partial Differential Equations Fatiha Alabau-Boussouira, Piermarco Cannarsa

Diagrammatic Methods in Classical Perturbation Theory Guido Gentile Discrete Control Systems

Taeyoung Lee, Melvin Leok, HarrisMcClamroch Dispersion Phenomena in Partial Differential Equations Piero D’Ancona

Dynamics on Fractals Raymond L. Orbach

Dynamics of Parametric Excitation Alan Champneys

Entropy in Ergodic Theory Jonathan L. F. King

Ergodicity andMixing Properties Anthony Quas

Ergodic Theorems Andrés del Junco

Ergodic Theory:Basic Examples andConstructions Matthew Nicol, Karl Petersen

Ergodic Theory: Fractal Geometry Jörg Schmeling

Ergodic Theory on Homogeneous Spaces andMetric Number Theory Dmitry Kleinbock

Ergodic Theory: Interactions with Combinatorics and Number Theory TomWard

Ergodic Theory, Introduction to Bryna Kra

Ergodic Theory: Non-singular Transformations Alexandre I. Danilenko, Cesar E. Silva

Ergodic Theory: Recurrence Nikos Frantzikinakis, Randall McCutcheon

Ergodic Theory: Rigidity Viorel Ni¸tic?a

Existence and Uniqueness of Solutions of Initial Value Problems Gianne Derks

Finite Dimensional Controllability Lionel Rosier

Fractal Geometry, A Brief Introduction to Armin Bunde, Shlomo Havlin

Fractal Growth Processes LeonardM.Sander

Fractal and Multifractal Scaling of Electrical Conduction in Random Resistor Networks Sidney Redner

Fractal and Multifractal Time Series JanW.Kantelhardt

Fractals in Biology Sergey V. Buldyrev

Fractals and Economics Misako Takayasu, Hideki Takayasu

Fractals in Geology and Geophysics Donald L. Turcotte

Fractals Meet Chaos Tony Crilly

Fractals andMultifractals, Introduction to Daniel ben-Avraham, Shlomo Havlin

Fractals and Percolation Yakov M. Strelniker, Shlomo Havlin, Armin Bunde

Fractals in the Quantum Theory of Spacetime Laurent Nottale

Fractal Structures in Condensed Matter Physics Tsuneyoshi Nakayama

Fractals andWavelets:What CanWe Learn on Transcription and Replication fromWavelet-Based Multifractal Analysis of DNA Sequences?

Alain Arneodo, Benjamin Audit, Edward-Benedict Brodie of Brodie, Samuel Nicolay, Marie Touchon, Yves d’Aubenton-Carafa, Maxime Huvet, Claude Thermes

Fractal and Transfractal Scale-Free Networks Hernán D. Rozenfeld, Lazaros K. Gallos, Chaoming Song, Hernán A. Makse

Hamiltonian Perturbation Theory (and Transition to Chaos) Henk W. Broer, Heinz Hanßmann

Hamilton–Jacobi Equations andWeak KAMTheory Antonio Siconolfi.

Hybrid Control Systems Andrew R. Teel, Ricardo G. Sanfelice, Rafal Goebel

Hyperbolic Conservation Laws Alberto Bressan

Hyperbolic Dynamical Systems Vitor Araújo, Marcelo Viana

Infinite Dimensional Controllability Olivier Glass

Inverse Scattering Transformand the Theory of Solitons Tuncay Aktosun

Isomorphism Theory in Ergodic Theory Christopher Hoffman

Joinings in Ergodic Theory Thierry de la Rue

Kolmogorov–Arnold–Moser (KAM) Theory Luigi Chierchia

Korteweg–de Vries Equation (KdV), Different AnalyticalMethods for Solving the Yu-Jie Ren

Korteweg–de Vries Equation (KdV), History, Exact N-Soliton Solutions and Further Properties of the Yi Zang

Korteweg–de Vries Equation (KdV) andModified KdV (mKdV), Semi-analyticalMethods for Solving the Do?gan Kaya

Korteweg–de Vries Equation (KdV), Some Numerical Methods for Solving the Mustafa Inc

Learning, System Identification, and Complexity m.Vidyasagar

Lyapunov–Schmidt Method for Dynamical Systems André Vanderbauwhede

Maximum Principle in Optimal Control Velimir Jurdjevic

Measure Preserving Systems Karl Petersen

Mechanical Systems: Symmetries and Reduction Jerrold E. Marsden, Tudor S. Ratiu

Navier–Stokes Equations: A Mathematical Analysis Giovanni P. Galdi.1009

n-Body Problem and Choreographies Susanna Terracini

Nekhoroshev Theory Laurent Niederman

Non-linear Dynamics, Symmetry and Perturbation Theory in Giuseppe Gaeta

Non-linear InternalWaves Moustafa S. Abou-Dina, Mohamed A. Helal

Non-linear Ordinary Differential Equations and Dynamical Systems, Introduction to Ferdinand Verhulst

Non-linear Partial Differential Equations, Introduction to Italo Capuzzo Dolcetta.

Non-linear Partial Differential Equations, Viscosity Solution Method in Shigeaki Koike

Non-linear Stochastic Partial Differential Equations Giuseppe Da Prato

Nonsmooth Analysis in Systems and Control Theory Francis Clarke

Normal Forms in Perturbation Theory Henk W. Broer

Numerical Bifurcation Analysis HilMeijer, Fabio Dercole, Bart Oldeman

Observability (Deterministic Systems) and Realization Theory Jean-Paul André Gauthier.

Partial Differential Equations that Lead to Solitons Do?gan Kaya

Periodic Orbits of Hamiltonian Systems Luca Sbano

Periodic Solutions of Non-autonomous Ordinary Differential Equations Jean Mawhin

Perturbation Analysis of Parametric Resonance Ferdinand Verhulst

Perturbation of Equilibria in theMathematical Theory of Evolution Angel Sánchez

Perturbation of Systems with Nilpotent Real Part Todor Gramchev

Perturbation Theory Giovanni Gallavotti

Perturbation Theory in Celestial Mechanics Alessandra Celletti

Perturbation Theory, Introduction to Giuseppe Gaeta

Perturbation Theory andMolecular Dynamics Gianluca Panati

Perturbation Theory for Non-smooth Systems Marco Antônio Teixeira

Perturbation Theory for PDEs Dario Bambusi

Perturbation Theory in QuantumMechanics Luigi E. Picasso, Luciano Bracci, Emilio d’Emilio

Perturbation Theory, Semiclassical Andrea Sacchetti.

Perturbative Expansions, Convergence of SebastianWalcher

Phase Transitions on Fractals and Networks Dietrich Stauffer

Philosophy of Science, Mathematical Models in Zoltan Domotor

Pressure and Equilibrium States in Ergodic TheoryJean-René Chazottes, Gerhard Keller

Quantum Bifurcations Boris Zhilinskií

Reaction Kinetics in Fractals Ezequiel V. Albano

Relaxation Oscillations Johan Grasman

Robotic Networks, Distributed Algorithms for Francesco Bullo, Jorge Cortés, Sonia Martínez

Scaling Limits of Large Systems of Non-linear Partial Differential Equations d.Benedetto, m.Pulvirenti

ShallowWater Waves and Solitary Waves Willy Hereman

Smooth Ergodic Theory Amie Wilkinson

Soliton Perturbation Ji-Huan He

Solitons and Compactons Ji-Huan He, Shun-dong Zhu

Solitons: Historical and Physical Introduction FrançoisMarin

Solitons Interactions Tarmo Soomere

Solitons, Introduction to Mohamed A. Helal

Solitons, Tsunamis and Oceanographical Applications of m.Lakshmanan

Spectral Theory of Dynamical Systems Mariusz Lema´nczyk

Stability and Feedback Stabilization Eduardo D. Sontag

Stability Theory of Ordinary Differential Equations Carmen Chicone

Stochastic Noises, Observation, Identification and Realization with Giorgio Picci

Symbolic Dynamics BrianMarcus

System Regulation and Design, Geometric and AlgebraicMethods in Alberto Isidori, LorenzoMarconi

Systems and Control, Introduction to Matthias Kawski.

Topological Dynamics Ethan Akin

Vehicular Traffic: A Review of Continuum Mathematical Models Benedetto Piccoli, Andrea Tosin

WaterWaves and the Korteweg–de Vries Equation Lokenath Debnath

List of Glossary Terms

Index

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