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1.

図書

図書
edited by Frank Moss and P.V.E. McClintock
出版情報: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1989  xvi, 353 p. ; 24 cm
シリーズ名: Noise in nonlinear dynamical systems ; v. 1
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List of contributors
Preface
Introduction to volume one
Noise-activated wscape from metastable states: an historical view / Rolf Landauer1:
Some Markov methods in the theory of stochastic processes in non-linear dynamical systems / R. L. Stratonovich2:
Langevin equations with coloured noise / J. M. Sancho ; M. San Miguel3:
First passage time problems for non-Markovian processes / Katja Lindenberg ; Bruce J. West ; Jaume Masoliver4:
The projection approach to the Fokker-Planck equation: applications to phenomenological stochastic equations with coloured noises / Paolo Grigolini5:
Methods for solving Fokker-Planck equations with applications to bistable and periodic potentials / H. Risken ; H. D. Vollmer6:
Macroscopic potentials, bifurcations and noise in dissipative systems / Robert Graham7:
Transition phenomena in multidimensional systems - models of evolution / W. Ebeling ; L. Schimansky-Geier8:
Coloured noise in continuous dynamical systems: a functional calculus approach / Peter Hanggi9:
Appendix: On the statistical treatment of dynamical systems / L. Pontryagin ; A. Andronov ; A. Vitt
Index
List of contributors
Preface
Introduction to volume one
2.

図書

図書
edited by Frank Moss and P.V.E. McClintock
出版情報: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1989  xviii, 388 p. ; 24 cm
シリーズ名: Noise in nonlinear dynamical systems ; v. 2
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目次情報: 続きを見る
List of contributors
Preface
Introduction to volume two
Stochastic processes in quantum mechanical settings / Ronald F. Fox1:
Self-diffusion in non-Markovian condensed-matter systems / Toyonori Munakata2:
Escape from the underdamped potential well / M. Buttiker3:
Effect of noise on discrete dynamical systems with multiple attractors / Edgar Knobloch ; Jeffrey B. Weiss4:
Discrete dynamics perturbed by weak noise / Peter Talkner ; Peter Hanggi5:
Bifurcation behaviour under modulated control parameters / M. Lucke6:
Period doubling bifurcations: what good are they? / Kurt Wiesenfeld7:
Noise-induced transitions / Werner Horsthemke ; Rene Lefever8:
Mechanisms for noise-induced transitions in chemical systems / Raymond Kapral ; Edward Celarier9:
State selection dynamics in symmetry-breaking transitions / Dilip K. Kondepudi10:
Noise in a ring-laser gyroscope / K. Vogel ; H. Risken ; W. Schleich11:
Control of noise and applications to optical systems / L. A. Lugiato ; G. Broggi ; M. Merri ; M. A. Pernigo12:
Transition probabilities and spectral density of fluctuations of noise driven bistable systems / M. I. Dykman ; M. A. Krivoglaz ; S. M. Soskin13:
Index
List of contributors
Preface
Introduction to volume two
3.

図書

図書
edited by Frank Moss and P.V.E. McClintock
出版情報: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1989  xvi, 278 p. ; 24 cm
シリーズ名: Noise in nonlinear dynamical systems ; v. 3
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目次情報: 続きを見る
List of contributors
Preface
Introduction to volume three
The effects of coloured quadratic noise on a turbulent transition in liquid He II / J. T. Tough1:
Electrohydrodynamic instability of nematic liquid crystals: growth process and influence of noise / S. Kai2:
Suppression of electrohydrodynamic instabilities by external noise / Helmut R. Brand3:
Coloured noise in dye laser fluctuations / R. Roy ; A. W. Yu ; S. Zhu4:
Noisy dynamics in optically bistable systems / E. Arimondo ; D. Hennequin ; P. Glorieux5:
Use of an electronic model as a guideline in experiments on transient optical bistability / W. Lange6:
Computer experiments in nonlinear stochastic physics / Riccardo Mannella7:
Analogue simulations of stochastic processes by means of minimum component electronic devices / Leone Fronzoni8:
Analogue techniques for the study of problems in stochastic nonlinear dynamics / P. V. E. McClintock ; Frank Moss9:
Index
List of contributors
Preface
Introduction to volume three
4.

図書

図書
editors David S. Broomhead ...[et al.]
出版情報: Melville, New York : American Institute of Physics, c2000  xviii, 678 p. ; 25 cm
シリーズ名: AIP conference proceedings ; no. 502
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Preface
Personae
Large Fluctuations
Nonlinear Dynamics of Large Fluctuations and How They Can Be Controlled / M. I. Dykman
Large Fluctuations in Globally Coupled Systems / A. Hamm
Experimental Studies of the Non-Adiabatic Escape Problem / M. Arrayas ; I. A. Khovanov ; D. G. Luchinsky ; R. Mannella ; P. V. E. McClintock ; M. Greenall ; H. Sabbagh
The Birth of a Cusp: The Unfolding of a 'Boundary Catastrophe' / R. S. Maier ; D. L. Stein
Controlling Brownian Particles with Light / B. Golding ; L. I. McCann
A Phase Transition in a System Driven by Coloured Noise / N. D. Stein
Noise Induced Escape from Different Types of Chaotic Attractor / V. S. Anishchenko
The Modified Optimal Path Method and Non-Adiabatic II-Order Transitions in Noisy Perturbed Dynamical Systems / A. V. Polovinkin ; A. I. Saichev
The Kramers Problem: Beyond Quasi-Stationarity / S. M. Soskin ; V. I. Sheka ; T. L. Linnik ; I. Kh. Kaufman
Neurons, Synchronization, Noise, and Chaos
Phase Locking and Noise in the Lighthouse Model of a Neural Net with Delay / H. Haken
Nonlinear Dynamics of a Pulse-Coupled Neural Oscillator Model of Orientation Tuning in the Visual Cortex / P. C. Bressloff ; N. W. Bressloff
Chaos in Integrate-and-Fire Dynamical Systems / S. Coombes
Synchronous Calcium Oscillations and Calcium Waves Induced by Spatiotemporal Noise in a Randomly Coupled Ensemble of Neurons / V. E. Bondarenko
Effects of Noise on the Subthreshold Dynamics of the FitzHugh-Nagumo Model / A. Di Garbo ; M. Barbi ; S. Chillemi
Langevin vs. Microscopic Noise in a Neuronal Network of Visual Perception / I. L. K. Merk ; M. Trahe ; J. Schnakenberg
Adapting Synapses in Pulse-Coupled Oscillators / M. P. James
A Comparison Between Abstract and Biophysical Neuron Models / J. Feng ; D. Brown
Common Framework for "Topographic" and "Elastic" Computations / V. Tereshko ; N. M. Allinson
Cardiovascular System
Monofractal and Multifractal Approaches to Complex Biomedical Signals / H. E. Stanley ; L. A. N. Amaral ; A. L. Goldberger ; S. Havlin ; P. Ch. Ivanov ; C.-K. Peng
Characteristic Frequencies of the Human Blood Distribution System / M. Bracic ; A. Stefanovska
Detection of Phase Synchronization from the Data: Application to Physiology / M. G. Rosenblum ; A. S. Pikovsky ; C. Schafer ; P. Tass ; J. Kurths
Synchronization of Heart Rate by Sound and Light Pulses / A. G. Balanov ; N. B. Janson ; N. B. Igosheva ; G. V. Bordyugov
Dynamics of Blood Pressure in Healthy Rats at Rest and After Stress / T. P. Romanova ; O. V. Glushkovskaja-Semjachkina ; T. G. Anishchenko
Bifurcation Diagrams of Frequency Dependence of Repolarization During Long QT Syndrome Using the Luo-Rudy Model of Cardiac Repolarization / E. J. Doedel ; R. L. Rasmusson
Noise and Chaos in Biology and Ecology
Complex Motion of Brownian Particles with Energy Supply / W. Ebeling ; U. Erdmann ; L. Schimansky-Geier ; F. Schweitzer
Stochastic Regulation of Gene Expression / J. Hasty ; J. Pradines ; M. Dolnik ; J. J. Collins
Pathological Tremors: Deterministic Chaos or Nonlinear Stochastic Oscillators? / J. Timmer ; S. Hau[s ligature]ler ; M. Lauk ; C. Lucking
Investigating Cardiorespiratory Interaction by Cross-Spectral Analysis of Event Series
Chaotic Synchronization in a System of Two Coupled [beta]-Cells / B. Lading ; E. Mosekilde ; S. Yanchuk ; Yu. Maistrenko
Periodicity versus Chaos in Certain Population Models / H. Thunberg
Chaotic Waves and Phase Synchronization in Spatially Extended Ecological System / B. Blasius ; L. Stone
Using Stochastic Dynamics to Model Multispecies Communities / G. Caldarelli ; B. Drossel ; P. Higgs ; A. McKane
Phase Multistability and Mutual Chaotic Synchronization / O. V. Sosnovtseva ; T. E. Vadivasova ; D. E. Postnov ; V. V. Astakhov
A New Dialogue with Nature / S. F. Timashev
Stability and Stochastic Bifurcation
The Effect of Binary Noise on a Hopf Bifurcation / D. J. Binks ; T. Mullin ; D. S. Broomhead ; M. Nicol
Stochastic Averaging on Graphs: Noisy Duffing-van der Pol Equation / N. S. Namachchivaya ; R. Sowers ; L. Vedula
A Unified Theory of Deterministic and Noise-Induced Transitions: Melnikov Processes and Their Application in Engineering, Physics and Neuroscience / E. Simiu
Decay Times of Unstable States Increased by the Noise / N. V. Agudov ; B. Spagnolo
State Selection at Points of Instability / H. Short ; M. Tarlie
Energy Propagation and Barrier Crossing
Arrays of Nonlinear Oscillators: Energy Localization, Energy Propagation, and Thermal Resonance / K. Lindenberg ; R. Reigada ; A. Sarmiento ; A. H. Romero ; J. M. Sancho
On the Resonant Activation and Inhibition of Activation in Fluctuating Barrier Problems / J. Iwaniszewski
Resonant Activation in a Tunnel Diode: An Experimental Study / R. N. Mantegna
Diffusion in a Periodically Changing Asymmetric Linear Potential: Ratchets and Stochastic Resonance / M. Gitterman ; V. Berdichevsky
Stochastic Modelling of Nonlinear Dynamical Systems / P. Garbaczewski
Transport Properties and Efficiency of Elastically Coupled Particles in Asymmetric Periodic Potentials / A. Igarashi ; S. Tsukamoto
Steady-State Currents in Stochastic Ratchets: Analytical Results / M. M. Klosek ; R. W. Cox
Fundamentals
What Can We Learn from Thermodynamics on Stochastic Dynamics? / G. Nicolis ; C. Nicolis
An Effective Stochastic Theory for Spatiotemporal Chaos / C. C. Chow
Parabolic Resonances in Near Integrable Hamiltonian Systems / A. Litvak-Hinenzon ; V. Rom-Kedar
Renormalization of Asymmetric Unimodal Maps / A. H. Osbaldestin ; B. D. Mestel
From the Langevin Equation to the Fractional Fokker-Planck Equation / R. Metzler ; J. Klafter
Essence of Direct-Interaction Approximation Application to a Quadratic Nonlinear Dynamical System / S. Kida ; S. Goto
Chaotic Synchronization Induced by Exponentially Correlated Parametric Noise / M. N. Lorenzo ; V. Perez-Munuzuri
The Long-Time Behaviour of Correlation Functions in Dynamical Systems / A. K. Evans
Stochastic Resonance
Experimental Investigation of Stochastic Resonance / S. Barbay ; G. Giacomelli ; F. Marin ; I. Rabbiosi ; V. Voignier
A Statistical Framework for the Description of Stochastic Resonance Phenomena / J. Rung ; J. W. C. Robinson
Suprathreshold Stochastic Resonance / N. G. Stocks
Stochastic Resonance and Noise-Induced Synchronization / J. A. Freund ; A. B. Neiman
Chaotic Resonance: Hopping Rates, Spectra and Signal-to-Noise Ratios / A. Kovaleva
Optimal Detection of Noisy Subthreshold Signals / M. M. Alibegov
Chaos and Intermittency
A Criterion for the Onset of Chaos in Weakly Dissipative Periodically Driven Systems / A. N. Silchenko
Statistical Theory for the Coupling Sensitivity of Chaos / V. Ahlers ; R. Zillmer
Transition Rates for Stochastic Delay Differential Equations / S. Guillouzic ; I. L'Heureux ; Andre Longtin
Dynamical Analysis by Using Oriented Crossing Locations / C. Letellier ; O. Menard ; G. Gouesbet ; W. Wang ; I. Kiss ; J. Hudson
Nonlinear Features in the Dynamics of an Impact-Friction Oscillator / L. N. Virgin ; C. J. Begley
On Bifurcation Phenomena in Metal Cutting / J. Gradisek ; S. Siegert ; R. Friedrich ; I. Grabec
About Stationary Probability Measure of Nonhyperbolic Attractors / A. S. Kopeikin ; G. I. Strelkova
The Role of Noise in Forming the Dynamics of a Quasiperiodic System / N. A. Khovanova
Flow
Laminar and Turbulent Dissipation in Shear Flow with Suction / C. R. Doering ; E. A. Spiegel ; R. A. Worthing
Weak Ripple Turbulence Prevails / E. Henry ; P. Alstrm ; M. T. Levinsen
Chaotic and Mode-Locked Interactions between Flow-Induced Collapsible-Tube Oscillation and Pulsatile Upstream Forcing / C. D. Bertram ; J. She
Phase Intermittency in Jet Atomization Processes / J. Godelle
Deterministic vs Statistical Description of the Transition to Turbulence in Plane Couette Flow / O. Dauchot ; H. Chate
Time and Space
Random Walk in an Eddy / L. B. Kiss ; R. Vajtai ; P. M. Ajayan
Nonlinear Localization in a Disordered System / K. [O slash] Rasmussen ; D. Cai ; A. R. Bishop ; N. Gr[o slash]nbech-Jensen
Information Entropy and Parrondo's Discrete-Time Ratchet / G. P. Harmer ; D. Abbott ; P. G. Taylor ; C. E. M. Pearce ; J. M. R. Parrondo
The Complexity of Bone Architecture: A Tool to Differentiate Bone Diseases / P. I. Saparin ; W. Gowin ; D. Felsenberg
How to Make Nature Blush: On the Construction of a Fractal Temporal Interface / S. Vrobel
Self-Similarity in Nature
The Influence of Disorder on Oscillator Death in Smoothly Inhomogeneous Arrays of Oscillators / L. Rubchinsky ; M. Sushchik
Stochastic Optimization and Squids
Non-Adiabatic Phenomena in a Coupled SQUID Ring-Tank Circuit System in the Strongly Hysteretic Regime / H. Prance ; R. Whiteman ; R. J. Prance ; T. D. Clark ; J. F. Ralph ; V. Schollmann ; M. Everitt ; S. Al-Khawaja
Noise-Mediated Cooperative Behavior and Signal Detection in dc SQUIDS / M. E. Inchiosa ; A. R. Bulsara
Stochastically Optimised Feedback for Imaging Arrays / M. Glover ; R. Ballingall ; D. Lees
Information-Theoretic Characterization of System Performance for a Nonlinear Magneto-Resistive Sensor / K. O. F. Stranne ; D. E. Asraf ; P. Lindqvist ; P. Sigray
Signal Processing
Extracting Dynamics from Return Times / A. N. Pavlov
Estimating Parameters in Differential Equations with Application to Laser Data / W. Horbelt ; M. Bunner ; R. Meucci ; M. Ciofini
Dynamical Evolution of Sonar Signal Propagation / R. A. Katz ; A. H. Quazi
Some Results Applying Flicker-Noise Spectroscopy on Climate Variables / A. Casanovas ; V. Gomez
On the Limits of Correlation Sums when Applied to Climate Variables
Filtering of Speech Signals by Over-Embedding / L. Matassini ; R. Hegger ; H. Kantz
State Space Parsimonious Reconstruction of Attractor Produced by an Electronic Oscillator / L. A. Aguirre ; U. S. Freitas ; L. Le Sceller ; J. Maquet
Bifurcations in Nonstationarity Noise Dynamic Systems: The Basins of Attraction and the Problems of Predictability of Final States / O. Ya. Butkovskii ; Yu. A. Kravtsov ; I. A. Rychka ; E. D. Surovyatkina
Detecting Deterministic Dynamics in Stochastic Systems / G. J. Ortega ; E. Louis
Conditional Entropy of Nonlinear Dynamical Systems / O. S. Gohrs ; J. Holzfuss
Author Index
Preface
Personae
Large Fluctuations
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