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Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering
, 1995Preface 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
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Nonlinear Dynamics and Chaos [PDF]
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, 2004In 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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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
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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
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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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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
2001Most 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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Nonlinear Dynamics and Nonlinear Dynamical Systems
2005Casati, Guido, Haake, Fritz
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Brief review on application of nonlinear dynamics in image encryption
Nonlinear dynamics, 2018F. Özkaynak
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