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15 Coupled Evolution of Earth’s Atmosphere and Biosphere
Earth’s climate has remained conducive to life for more than 3.5 billion years, probably because of higher concentrations of CO2 and CH4 greenhouse...
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5 Non-Linear Static Analysis
The state of the art in the capability to predict the stability behavior of shell structures refers to areas such as asymptotic analysis [69] and...
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3 Spectral Analysis of Finite Dimensional Operators
A great number of engineering problems can be viewed as an input to output map**, as shown in Fig. 3.1, where the system represents the law for the...
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12 Entropy Production in the Planetary Context
In this paper I review some applications of nonequilibrium thermodynamics to planetary science. Of particular importance are the horizontal and...
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Padé Approximants
The frequent situation one encounters in applied science is the following: the information we need is contained in values, or some features of the...
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The Laplace Transform in Control Theory
The Laplace transform is extensively used in control theory. It appears in the description of linear time-invariant systems, where it changes...
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Perturbative Series Expansions: Theoretical Aspects and Numerical Investigations
Perturbation theory is introduced by means of models borrowed from Celestial Mechanics, namely the two-body and three-body problems. Such models...
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4 The Evolutionary Complexity of Social Economic Systems: The Inevitability of Uncertainty and Surprise
In order to improve our quality of life and the successful functioning of our organisations and social institutions, or to mitigate some anticipated...
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7 The Complementary Nature of Coordination Dynamics: Toward a Science of the In-Between
My take-off point in this brief essay is the following comment from the introductory material that all the participants received for the conference...
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1 Uncertainty and Surprise: An Introduction
Much of the traditional scientific and applied scientific work in the social and natural sciences has been built on the supposition that the...
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Method of Invariant Grids
The method of invariant grids is developed for a grid-based computation of invariant manifolds.
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Invariance Equation in Differential Form
Definition of invariance in terms of motions and trajectories assumes, at least, existence and uniqueness theorems for solutions of the original...
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1 Introduction
The class of block-oriented nonlinear models includes complex models which are composed of linear dynamic systems and nonlinear static elements....
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Nonlinear superposition formulae of integrable partial differential equations by the singular manifold method
We study by the singular manifold method a few 1+1-dimensional partial differential equations which possess N-soliton solutions for arbitrary N, i.e....
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Results for Sr2RuO4
In this chapter, we focus on our results for the elementary excitations and Cooper pairing in strontium ruthenate (...
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14. Third harmonic sychronization
In this chapter we will present a brief analysis of the synchronization at the third harmonic of the center VCO frequency for the third order type-II...
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Bilinear Formalism in Soliton Theory
A brief survey of the bilinear formalism discovered by Hirota is given. First, the procedure to obtain soliton solutions of nonlinear evolution...
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Critical Phenomena in a Small World
We consider the behavior of various systems on a small-world network near a critical point. Our starting point is a different, nonrandom system with...
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Who Is the Best Connected Scientist?A Study of Scientific Coauthorship Networks
Using data from computer databases of scientific papers in physics, biomedical research, and computer science, we have constructed networks of...