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Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering

, 1995
Preface 1. Overview 1.0 Chaos, Fractals, and Dynamics 1.1 Capsule History of Dynamics 1.2 The Importance of Being Nonlinear 1.3 A Dynamical View of the World PART I. ONE-DIMENSIONAL FLOWS 2.
S. Strogatz
semanticscholar   +1 more source

Nonlinear Dynamics and Chaos [PDF]

open access: possible, 2000
A variety of techniques including the Frobenius method of infinite power series could solve almost all linear DEs of physical interest. However, some very fundamental questions such as the stability of the solar system led to DEs that were not linear, and for such DEs no analytic (including series representation) solution existed.
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Linearization of Nonlinear Dynamic Systems

IEEE Transactions on Instrumentation and Measurement, 2004
In this paper we propose a method to linearize a nonlinear dynamic system: the nonlinear distortions are reduced, and the linear dynamics are corrected to a flat amplitude and linear phase in a user defined frequency band.
Schoukens, Joannes   +4 more
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Nonlinear Firm Dynamics

Staff Reports (Federal Reserve Bank of New York)
This paper presents empirical evidence on the nature of idiosyncratic shocks to firms and discusses its role for firm behavior and aggregate fluctuations. We document that firm-level sales and productivity are hit by heavy-tailed shocks and follow a nonlinear stochastic process, thus departing from the canonical linear.
Melcangi, Davide, Sarpietro, Silvia
openaire   +2 more sources

Nonlinear Climate Dynamics

2013
This book introduces stochastic dynamical systems theory in order to synthesize our current knowledge of climate variability. Nonlinear processes, such as advection, radiation and turbulent mixing, play a central role in climate variability. These processes can give rise to transition phenomena, associated with tipping or bifurcation points, once ...
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Nonlinear Discrete Dynamical Systems

2001
Most of the dynamics displayed by highly complicated nonlinear systems also appear for simple nonlinear systems. The reader is first introduced to the tent function, which is composed of two straight lines. The graphical method of iteration is introduced using this simple function since the constructions may be easily carried out with graph paper, rule,
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