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A new numerical method for surface hydrodynamics
We present a new numerical method for studying the evolution of free and bound waves on the nonlinear ocean surface. The technique, based on a representation due to Watson and West (1975), uses aExpand
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Phenomenological solar contribution to the 1900–2000 global surface warming
[1] We study the role of solar forcing on global surface temperature during four periods of the industrial era (1900–2000, 1900–1950, 1950–2000 and 1980–2000) by using a sun-climate coupling modelExpand
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A theory of 1/f noise in human cognition
The brain is probably the most interesting example of a complex network having 1/f variability as determined through the analysis of EEG time series and magnetoencephalogram recordings. Herein weExpand
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Complexity, Scaling, and Fractals in Biological Signals
A biological signal carries information about the complex biological phenomena being measured and is typically a time series having both a regular and random component. This chapter focuses onExpand
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Vindication of mode-coupled descriptions of multiple-scale water wave fields
Il est montre que la description modale des ondes de surface, en eau profonde (Watson et West 1975) est independante de toute surface de reference sur laquelle sont effectuees les developpements enExpand
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An Essay on the Importance of Being Nonlinear
1. Introduction.- 1.1 The Five Stages of Model Building.- 1.1.1 Linear Models.- 1.1.2 Nonlinear Models.- 1.2 Truth in Modeling,.- 2. Error Analysis, Statistics and Other Uncertainties Associated withExpand
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Fractional Diffusion Equation
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Statistical properties of a laser driven by colored noise
We obtain an exact analytic solution of the equation of motion for a dye laser with a fluctuating pump parameter of finite correlation time. The exact solution is compared with recent experimentalExpand
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Analytic theory of extrema, II: Application to non-linear oscillators
Abstract A simple method is applied that yields analytic results for the mean first passage time and the mean extreme value of Fokker-Planck processes in the asymptotic regime. The extremalExpand
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