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Mathematics of Complexity and Dynamical Systems

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Cover of 'Mathematics of Complexity and Dynamical Systems'

Table of Contents

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    Book Overview
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    Chapter 1 Adomian Decomposition Method Applied to Non-linear Evolution Equations in Soliton Theory
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    Chapter 2 Anomalous Diffusion on Fractal Networks
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    Chapter 3 Biological Fluid Dynamics, Non-linear Partial Differential Equations
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    Chapter 4 Catastrophe Theory
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    Chapter 5 Center Manifolds
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    Chapter 6 Chaos and Ergodic Theory
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    Chapter 7 Chronological Calculus in Systems and Control Theory
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    Chapter 8 Control of Non-linear Partial Differential Equations
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    Chapter 9 Diagrammatic Methods in Classical Perturbation Theory
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    Chapter 10 Discrete Control Systems
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    Chapter 11 Dispersion Phenomena in Partial Differential Equations
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    Chapter 12 Dynamics on Fractals
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    Chapter 13 Dynamics of Parametric Excitation
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    Chapter 14 Entropy in Ergodic Theory
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    Chapter 15 Ergodicity and Mixing Properties
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    Chapter 16 Ergodic Theorems
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    Chapter 17 Ergodic Theory: Basic Examples and Constructions
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    Chapter 18 Ergodic Theory Fractal geometry ergodic theory : Fractal Geometry Ergodic theory fractal geometry
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    Chapter 19 Ergodic Theory on Homogeneous Spaces and Metric Number Theory
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    Chapter 20 Ergodic Theory: Interactions with Combinatorics and Number Theory
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    Chapter 21 Ergodic Theory, Introduction to
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    Chapter 22 Ergodic Theory Nonsingular transformation ergodic theory : Non-singular Transformations Ergodic theory non-singular transformations
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    Chapter 23 Ergodic Theory: Recurrence
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    Chapter 24 Ergodic Theory: Rigidity
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    Chapter 25 Existence and Uniqueness of Solutions of Initial Value Problems
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    Chapter 26 Finite Dimensional Controllability
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    Chapter 27 Fractal Geometry, A Brief Introduction to
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    Chapter 28 Fractal Growth Processes
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    Chapter 29 Fractal and Multifractal Scaling of Electrical Conduction in Random Resistor Networks
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    Chapter 30 Fractal and Multifractal Time Series
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    Chapter 31 Fractals in Biology Biology fractals
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    Chapter 32 Fractals and Economics
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    Chapter 33 Fractals in Geology and Geophysics
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    Chapter 34 Fractals Meet Chaos
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    Chapter 35 Fractals and Multifractals, Introduction to
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    Chapter 36 Fractals and Percolation
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    Chapter 37 Fractals in the Quantum Theory of Spacetime
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    Chapter 38 Fractal Structures in Condensed Matter Physics
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    Chapter 39 Fractals Fractal and Wavelets Wavelets : What Can We Learn on Transcription and Replication from Wavelet-Based Multifractal Analysis Multifractal analysis of DNA Sequences DNA sequence ?
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    Chapter 40 Fractal and Transfractal Scale-Free Networks
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    Chapter 41 Hamiltonian Perturbation Theory (and Transition to Chaos)
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    Chapter 42 Hamilton–Jacobi Equations Hamilton–Jacobi equations and Weak KAM Theory Weak KAM theory
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    Chapter 43 Hybrid Control Systems
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    Chapter 44 Hyperbolic Conservation Laws
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    Chapter 45 Hyperbolic Dynamical Systems
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    Chapter 46 Infinite Dimensional Controllability
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    Chapter 47 Inverse Scattering Transform and the Theory of Solitons
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    Chapter 48 Isomorphism Theory Isomorphism theory in Ergodic Theory Ergodic theory
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    Chapter 49 Joinings in Ergodic Theory
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    Chapter 50 Kolmogorov–Arnold–Moser (KAM) Theory
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    Chapter 51 Korteweg–de Vries Equation (KdV), Different Analytical Methods for Solving the
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    Chapter 52 Korteweg–de Vries Equation (KdV), History, Exact N -Soliton Solutions and Further Properties of the
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    Chapter 53 Korteweg–de Vries Equation (KdV) and Modified Korteweg–de Vries Equations (mKdV), Semi-analytical Methods for Solving the
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    Chapter 54 Korteweg–de Vries Equation (KdV), Some Numerical Methods for Solving the
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    Chapter 55 Learning, System Identification System identification , and Complexity
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    Chapter 56 Lyapunov–Schmidt Method for Dynamical Systems
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    Chapter 57 Maximum Principle in Optimal Control
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    Chapter 58 Measure Preserving Systems
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    Chapter 59 Mechanical Systems Mechanical systems : Symmetries and Reduction
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    Chapter 60 Navier–Stokes Equations Navier–Stokes equations : A Mathematical Analysis
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    Chapter 61 n -Body Problem n -Body problem choreographies and Choreographies Choreography n -body problem
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    Chapter 62 Nekhoroshev Theory
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    Chapter 63 Non-linear Dynamics, Symmetry and Perturbation Theory in
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    Chapter 64 Non-linear Internal Waves
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    Chapter 65 Non-linear Ordinary Differential Equations and Dynamical Systems, Introduction to
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    Chapter 66 Non-linear Partial Differential Equations, Introduction to
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    Chapter 67 Non-linear Partial Differential Equations, Viscosity Solution Method in
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    Chapter 68 Non-linear Stochastic Partial Differential Equations
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    Chapter 69 Nonsmooth Analysis in Systems and Control Theory
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    Chapter 70 Normal Forms in Perturbation Theory
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    Chapter 71 Numerical Bifurcation Analysis
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    Chapter 72 Observability Observability ( Deterministic Systems Observability deterministic systems ) and Realization Theory Realization theory
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    Chapter 73 Partial Differential Equations that Lead to Solitons
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    Chapter 74 Periodic Orbits of Hamiltonian Systems
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    Chapter 75 Periodic Solutions of Non-autonomous Ordinary Differential Equations
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    Chapter 76 Perturbation Analysis of Parametric Resonance
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    Chapter 77 Perturbation of Equilibria in the Mathematical Theory of Evolution
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    Chapter 78 Perturbation of Systems with Nilpotent Real Part
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    Chapter 79 Perturbation Theory
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    Chapter 80 Perturbation Theory Perturbation theory in Celestial Mechanics Celestial mechanics
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    Chapter 81 Perturbation Theory, Introduction to
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    Chapter 82 Perturbation Theory and Molecular Dynamics
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    Chapter 83 Perturbation Theory for Non-smooth Systems
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    Chapter 84 Perturbation Theory for PDEs
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    Chapter 85 Perturbation Theory in Quantum Mechanics
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    Chapter 86 Perturbation Theory, Semiclassical
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    Chapter 87 Perturbative Expansions, Convergence of
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    Chapter 88 Phase Transitions on Fractals and Networks
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    Chapter 89 Philosophy of Science, Mathematical Models in
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    Chapter 90 Pressure Pressure ergodic theory and Equilibrium States Equilibrium state ergodic theory in Ergodic Theory Ergodic theory pressure and equilibrium states
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    Chapter 91 Quantum Bifurcations
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    Chapter 92 Reaction Kinetics in Fractals
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    Chapter 93 Relaxation Oscillations
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    Chapter 94 Robotic Networks, Distributed Algorithms for
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    Chapter 95 Scaling Limits of Large Systems of Non-linear Partial Differential Equations
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    Chapter 96 Shallow Water Waves and Solitary Waves
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    Chapter 97 Smooth Ergodic Theory
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    Chapter 98 Soliton Perturbation
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    Chapter 99 Solitons and Compactons
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    Chapter 100 Solitons: Historical and Physical Introduction
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    Chapter 101 Solitons Interactions
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    Chapter 102 Solitons, Introduction to
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    Chapter 103 Solitons, Tsunamis and Oceanographical Applications of
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    Chapter 104 Spectral Theory of Dynamical Systems
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    Chapter 105 Stability and Feedback Stabilization
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    Chapter 106 Stability Theory of Ordinary Differential Equations
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    Chapter 107 Stochastic Noises, Observation, Identification and Realization with
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    Chapter 108 Symbolic Dynamics
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    Chapter 109 System Regulation and Design, Geometric and Algebraic Methods in
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    Chapter 110 Systems and Control, Introduction to
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    Chapter 111 Topological Dynamics
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    Chapter 112 Vehicular Traffic: A Review of Continuum Mathematical Models
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    Chapter 113 Water Waves and the Korteweg–de Vries Equation
Overall attention for this book and its chapters
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Title
Mathematics of Complexity and Dynamical Systems
Published by
Springer New York, October 2011
DOI 10.1007/978-1-4614-1806-1
ISBNs
978-1-4614-1805-4, 978-1-4614-1806-1
Editors

Meyers, Robert A.

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 74 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Spain 2 3%
Netherlands 1 1%
Italy 1 1%
Germany 1 1%
Unknown 69 93%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 16 22%
Student > Master 11 15%
Researcher 10 14%
Student > Bachelor 6 8%
Student > Doctoral Student 5 7%
Other 16 22%
Unknown 10 14%
Readers by discipline Count As %
Physics and Astronomy 15 20%
Mathematics 14 19%
Engineering 10 14%
Neuroscience 4 5%
Computer Science 3 4%
Other 17 23%
Unknown 11 15%