Mathematics of Complexity & Dynamical Systems by Abdul-Majid Wazwaz, Robert A. Meyers
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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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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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