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Advances in Chemical Physics
The Onset of Chaotic Motion in Dynamical Systems
edited_book
Author(s):
Michael Tabor
Publication date
(Online):
March 14 2007
Publisher:
John Wiley & Sons, Inc.
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Socioecological systems
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Book Chapter
Publication date (Online):
March 14 2007
Pages
: 73-151
DOI:
10.1002/9780470142653.ch2
SO-VID:
06ee0ca9-0724-47e9-995f-2e14a1311e9d
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Book chapters
pp. 1
The Spectroscopy of H 3+
pp. 1
Statistical Mechanics of Polymer Solutions and Polymer Adsorption
pp. 1
Computational Strategies for Mapping Equilibrium Phase Diagrams
pp. 1
Collision-Induced Scattering of Light and the Diatom Polarizabilities
pp. 1
Zeke Spectroscopy: High-Resolution Spectroscopy with Photoelectrons
pp. 1
The Liouville Space Extension of Quantum Mechanics
pp. 1
Quantum Monte Carlo Methods in Chemistry
pp. 1
Criticality of Ionic Fluids
pp. 1
Nonadiabatic Interactions Between Potential Energy Surfaces: Theory and Applications
pp. 1
Depolarized Light Scattering by Simple Fluids
pp. 1
Hard Convex Body Fluids
pp. 1
New Experimental Studies of the Structure of Fluids
pp. 1
Transition State Spectroscopy of Bimolecular Reactions Using Negative Ion Photodetachment
pp. 1
Continuum Optical Oscillator-Strength Measurements by Electron Spectroscopy in the Gas Phase
pp. 1
Applications of Doppler Spectroscopy to Photofragmentation
pp. 1
Angular Distributions of Photoelectrons: Consequences of Symmetry
pp. 1
Recent Developments in Classical Density Functional Theory
pp. 1
Scaled Particle Methods in the Statistical Thermodynamics of Fluids
pp. 1
Molecular Vibration and Nonlinear Optics
pp. 1
Theory and Molecular Models for Water
pp. 1
Dynamics of Entangled Polymer Liquids: Do Linear Chains Reptate?
pp. 1
Energy Landscapes: From Clusters to Biomolecules
pp. 1
Penetrable Sphere Models of Liquid-Vapor Equilibrium
pp. 1
Transition Path Sampling
pp. 1
Stability of Complex Reaction Networks
pp. 1
Interplay Between Ultrafast Polar Solvation and Vibrational Dynamics in Electron Transfer Reactions: Role of High-Frequency Vibrational Modes
pp. 1
Photodissociation of Diatomic Molecules to Open Shell Atoms
pp. 1
Photophysics of Internal Twisting
pp. 1
Introduction
pp. 1
Mobilities of Charge Carriers in Superfluid Helium
pp. 1
Electrolytes and the Electric Double Layer
pp. 1
Femtosecond Coherent Spectroscopy
pp. 1
Chemistry Induced by Core Electron Excitation
pp. 1
Laser Light Scattering in Fluid Systems
pp. 1
Surface and Bulk Spectroscopy of A Molecular Crystal: Effect of Relaxation and Thermal or Static Disorder
pp. 1
Optimization and Characterization of a Multiconfigurational Self-Consistent Field (MCSCF) State
pp. 1
Quantum theories of Chemical Kinetics
pp. 1
Theoretical Foundations
pp. 1
General introduction
pp. 1
Structure and Dynamics of Low-Temperature Water as Studied by Scattering Techniques
pp. 1
Theory of Polyelectrolyte Solutions
pp. 1
Tagged-Particle Motion in Dense Media: Dynamics Beyond the Boltzmann Equation
pp. 1
Early Perspectives on Geometric Phase
pp. 1
The Infrared Spectral Density of Weak Hydrogen Bonds within the Linear Response Theory
pp. 1
Determination of the Structure and Properties of Solid Surfaces by Electron Diffraction and Emission
pp. 1
Excited-State Potentials
pp. 1
Principles and Applications of Multiple-Quantum Nmr
pp. 15
Electron-Impact Spectrometry
pp. 27
Dynamical Rare Event Simulation Techniques for Equilibrium and Nonequilibrium Systems
pp. 31
Nonequilibrium Fluctuations in Small Systems: From Physics to Biology
pp. 31
Kinetic Theory and Rheology of Macromolecular Solutions
pp. 33
A Review of Ion-molecule Reactions
pp. 35
Electron Transfer-from Isolated Molecules to Biomolecules
pp. 35
Entropy-Driven Phase Transitions in Colloids: From spheres to anisotropic particles
pp. 37
Symmetry and Angular Momentum in Collisions with Laser-Excited Polarized Atoms
pp. 37
Ab Initio Determination of Molecular Electrical Properties
pp. 39
Monte Carlo Methods for Real-Time Path Integration
pp. 41
Vibration→Vibration Energy Transfer
pp. 41
Local Mode Vibrations in Polyatomic Molecules
pp. 45
Structural Models for Clusters Produced in a Free Jet Expansion
pp. 47
Nonequilibrium Thermodynamics and Statistical Physics of Surfaces
pp. 49
Theory of Collision-Induced Line Shapes-Absorption and Light Scattering at Low Density
pp. 51
Intermolecular Forces and Crystal Structures for D2 , N2 , O2 , F2 , and CO2
pp. 59
Vibrational Line Shapes, Spectral Diffusion, and Hydrogen Bonding in Liquid Water
pp. 59
Theory of Inhomogeneous Electron Systems: Spin-Density-Functional Formalism
pp. 61
Chemical Reaction Dynamics in Liquid Solution
pp. 63
Infrared Vibrational Predissociation Spectroscopy of Small Size-Selected Clusters
pp. 67
Mode Coupling Theory Approach to the Liquid-State Dynamics
pp. 67
Orientation of Targets by Beam Excitation
pp. 67
Theoretical Aspects of Optical Activity Part One: Small Molecules
pp. 67
Star Polymers: Experiment, Theory, and Simulation
pp. 73
The Onset of Chaotic Motion in Dynamical Systems
pp. 73
Diabatic Potential Energy Surfaces for Charge-Transfer Processes
pp. 75
Solid-Liquid Phase Behavior in Microclusters
pp. 77
The Redfield Equation in Condensed-Phase Quantum Dynamics
pp. 79
Chemical Reaction Dynamics: Many-Body Chaos and Regularity
pp. 81
Solvent Control of Electron Transfer Reactions
pp. 85
Intrinsic Viscosity and the Polarizability of Particles Having a Wide Range of Shapes
pp. 89
A Many-Body Stochastic Approach to Rotational Motions in Liquids
pp. 91
Models, Interpretations, and Calculations Concerning Resonant Electron Scattering Processes in Atoms and Molecules
pp. 97
Solute Precipitate Nucleation: A Review of Theory and Simulation Advances
pp. 99
Classical and Quantum Magnetization Reversal Studied in Nanometer-Sized Particles and Clusters
pp. 99
Molecular Property Derivatives
pp. 101
Supercooled Liquids and Glasses by Dielectric Relaxation Spectroscopy
pp. 101
A Discussion of Some Problems Associated with the Quantum Mechanical Treatment of Open-Shell Molecules
pp. 103
Accurate Quantum Chemical Calculations
pp. 103
The Structure of Polar Fluids
pp. 105
New Ways of Understanding Semiclassical Quantization
pp. 109
Irreversible Thermodynamics for Quantum Systems Weakly Coupled to Thermal Reservoirs
pp. 111
The Dissociation Dynamics of Energy-Selected Ions
pp. 113
Theoretical Aspects of Optical Activity Part Two: Polymers
pp. 113
Solid-Fluid Equilibrium: Insights from Simple Molecular Models
pp. 115
Reduced Dimensionality Theories of Quantum Reactive Scattering
pp. 125
Generalized Entropy Theory of Polymer Glass Formation
pp. 127
Nonadiabatic transitions due to curve crossings: complete solutions of the landau-zener-stueckelberg problems and their applications
pp. 129
Polymers under Confinement
pp. 131
Large Tunnelling Corrections in Chemical Reaction Rates
pp. 135
The Linear Gas
pp. 135
Path-Integral Centroid Methods in Quantum Statistical Mechanics and Dynamics
pp. 139
The Quantum Mechanics of Clusters
pp. 143
Generalized Langevin Equations and Many-Body Problems in Chemical Dynamics
pp. 147
Control of Quantum Dynamics by Laser Pulses: Adiabatic Floquet Theory
pp. 147
Convex Molecules in Gaseous and Crystalline States
pp. 149
Electron Resonance of Gaseous Diatomic Molecules
pp. 149
The Molecular Quasi-Species
pp. 153
The Electrodynamics of Atoms and Molecules
pp. 155
The Kinetic Theory of Dense Polyatomic Fluids
pp. 155
The Transition from Analytic Dynamics to Statistical Mechanics
pp. 163
Molecule-Surface Scattering and Reaction Dynamics
pp. 165
Tethered Polymer Layers
pp. 169
Vibrational Properties of Hexafluoride Molecules
pp. 171
Monte Carlo Sampling for Classical Trajectory Simulations
pp. 171
A New Look at the Transition State: Wigner's Dynamical Perspective Revisited
pp. 187
Variational Methods in Statistical Mechanics
pp. 187
Viscoelastic Subdiffusion: Generalized Langevin Equation Approach
pp. 187
Statistical Mechanics of Static and Low-Velocity Kinetic Friction
pp. 191
Time-Dependent Semiclassical Mechanics
pp. 197
Magnetic Circular Dichroism
pp. 201
Predissociation of Polyatomic Van Der Waals Molecules
pp. 207
Polar and Nonpolar Solvation Dynamics, Ion Diffusion, and Vibrational Relaxation: Role of Biphasic Solvent Response in Chemical Dynamics
pp. 209
Stability and Dissipative Structures in Open Systems far from Equilibrium
pp. 209
The Virial Theorem
pp. 211
Molecular Surface Chemistry: Reactions of Gas-Phase Metal Clusters
pp. 215
Low-Energy Electron Diffraction
pp. 219
Multiconfigurational Perturbation Theory: Applications in Electronic Spectroscopy
pp. 225
Electronic Structure of Excited States of Selected Atmospheric Systems
pp. 225
The Quantum Mechanical Distribution Function of Molecular Systems: Translational and Rotational Motions
pp. 227
Metallic Glasses
pp. 227
Some Modern Aspects of Exciton Theory
pp. 229
The Reaction F + H2→ Hf + H
pp. 231
Inhomogeneous Relativistic Electron Systems: A Density-Functional Formalism
pp. 231
The Recursive Residue Generation Method
pp. 235
Spectral Line Shapes in Gases in the Binary-Collision Approximation
pp. 239
Colored Noise in Dynamical Systems
pp. 249
Optimization of Equilibrium Geometries and Transition Structures
pp. 255
Photofragment Dynamics
pp. 255
Intermolecular and Intramolecular Potentials: Topographical Aspects, Calculation, and Functional Representation via A Double Many-Body Expansion Method
pp. 263
On the Theory of Debye and Néel Relaxation of Single Domain Ferromagnetic Particles
pp. 263
Coherence and Adiabaticity in Ultrafast Electron Transfer
pp. 265
Chain Configurations and Dynamics in the Gaussian Approximation
pp. 265
Moment Free Energies for Polydisperse Systems
pp. 265
Time-Dependent Perturbation of a Two-State Quantum System by a Sinusoidal Field
pp. 267
Sensitized Fluorescence and Quenching
pp. 267
Photoelectron Circular Dichroism in Chiral Molecules
pp. 269
Nonradiative Processes in Small Molecules in Low-Temperature Solids
pp. 275
Birefringence and dielectric relaxation in strong electric fields
pp. 283
On the Use of Pseudopotentials in the Quantum Theory of Atoms and Molecules
pp. 287
Relativistic Quantum Chemistry
pp. 289
Stationary Phase Monte Carlo Methods
pp. 295
Review of Decoherence-Free Subspaces, Noiseless Subsystems, and Dynamical Decoupling
pp. 295
Time-Reversal Invariance, Representations for Scattering Wavefunctions, Symmetry of the Scattering Matrix, and Differential Cross-Sections
pp. 297
Vibrational Relaxation in Condensed Phases
pp. 299
The Franck-Condon Principle in Bound-Free Transitions
pp. 301
Statistical Physics of Polymer Solutions: Conformation-Space Renormalization-Group Approach
pp. 303
Structure and Properties of Metal-Ammonia Solutions
pp. 317
Theory of Nonadiabatic Collision Processes Including Excited Alkali Atoms
pp. 321
Effective Hamiltonians and Pseudo-Operators as Tools for Rigorous Modelling
pp. 321
Electronic Correlation in Atoms and Molecules
pp. 325
Collisional Quenching of Electronically Excited Metal Atoms
pp. 329
Low-Energy Electrons in Nonpolar Fluids
pp. 333
Electronic Structure Calculations for Molecules Containing Transition Metals
pp. 335
Lattice Cluster Theory of Multicomponent Polymer Systems: Chain Semiflexibility and Specific Interactions
pp. 343
Phase Transitions in Van Der Waal's Lattices
pp. 355
Electron-Correlated Approaches for the Calculation of NMR Chemical Shifts
pp. 355
Theory of Dynamical Properties of Dielectric Surfaces
pp. 355
Applying Direct Molecular Dynamics to Non-Adiabatic Systems
pp. 369
Thermodynamic-Scaling Methods in Monte Carlo and their Application to Phase Equilibria
pp. 371
Ultrafast Intermolecular Electron Transfer in Solution
pp. 381
Predicting Rare Events in Molecular Dynamics
pp. 389
The Interface Between Electronic Structure Theory and Reaction Dynamics by Reaction Path Methods
pp. 395
Reaction Dynamics and Statistical Mechanics of the Preparation of Highly Excited States by Intense Infrared Radiation
pp. 397
Recent Developments in the Study of Monolayers at the Air-Water Interface
pp. 399
Spontaneous Ionization in Slow Collisions
pp. 403
Quantum Theory of Molecular Photodissociation
pp. 403
Electron Transfer in Molecules and Molecular Wires: Geometry Dependence, Coherent Transfer, and Control
pp. 405
Semigrand Canonical Monte Carlo Simulation; Integration Along Coexistence Lines
pp. 421
Hard Spheres with Surface Adhesion: The Percus-Yevick Approximation and the Energy Equation
pp. 423
The Classical Trajectory-Surface-Hopping Approach to Charge-Transfer Processes
pp. 439
Basis Sets
pp. 451
Recent Progress in the Statistical Mechanical Mechanics of Interaction Site Fluids
pp. 461
Reactive Canonical Monte Carlo
pp. 465
The Algebra of Effective Hamiltonians and Operators: Exact Operators
pp. 475
Progress in Electronic-to-Vibrational Energy Transfer
pp. 483
Crossover formulas in the kramers theory of thermally activated escape rates-application to spin systems
pp. 487
Rotational Diffusion and Dielectric Relaxation in Nematic Liquid Crystals
pp. 487
Scattering of Noble-Gas Metastable Atoms in Molecular Beams
pp. 489
Activated Rate Processes in Condensed Phases: the Kramers Theory Revisited
pp. 493
Recent Advances in Moleculardynamics Computer Simulation
pp. 497
Electron-Transfer Tubes
pp. 501
The Coupled Pair Approximation
pp. 507
General Connections Among Nuclear Electromagnetic Shieldings and Polarizabilities
pp. 511
Solvent Effects in Nonadiabatic Electron-Transfer Reactions: Theoretical Aspects
pp. 537
A Comparative Study of Electron-and Positron-Polyatomic Molecule Scattering
pp. 543
Melting and Liquid Structure in two Dimensions
pp. 545
Natural Chiroptical Spectroscopy: Theory and Computations
pp. 589
Fitting Laws for Rotationally Inelastic Collisions
pp. 595
The Effective Field Method in the Orientational Kinetics of Magnetic Fluids and Liquid Crystals
pp. 703
Perspectives on Semiempirical Molecular Orbital Theory
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