Results 271 to 280 of about 15,535 (305)

Some Comments on Numerical Methods for Chaos Problems

CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY, 1996
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Diffusion chaos and its invariant numerical characteristics

Theoretical and Mathematical Physics, 2020
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Glyzin, S. D., Kolesov, A. Yu., Rozov, N. Ch.   +2 more
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Numerical methods can suppress chaos

Physics Letters A, 1991
Abstract Numerical methods for the solution of ordinary differential equations are one of the main tools used in the theoretical investigation of nonlinear continuous dynamical systems. These replace the continuous dynamical system under study by a discrete dynamical system that is then usually simulated on a digital computer.
R.M. Corless, C. Essex, M.A.H. Nerenberg
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Chaos and Period-Adding; Experimental and Numerical Verification of the Grazing Bifurcation

Journal of Nonlinear Science, 2004
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Petri T. Piiroinen, Lawrence N. Virgin, Alan R. Champneys   +2 more
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Chaos in numerical analysis of ordinary differential equations

Physica D: Nonlinear Phenomena, 1981
Abstract The discretisation of the ordinary nonlinear differential equation d y d t = y(1−y) by the entral difference scheme is studied for fixed mesh size. In the usual numerical computation, this method produces some “ghost solution” for the long range calculation.
Masaya Yamaguti, Shigehiro Ushiki
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A numerical analysis of Poincare chaos

The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity, 2023
Marat Akhmet, Mehmet Onur Fen, Astrit Tola   +2 more
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Chaos and direct numerical simulation in turbulence

Theoretical and Computational Fluid Dynamics, 1995
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Numerical Tools for Studies of Dynamical Chaos

2020
In this chapter, we concentrate on numerical tools needed to characterize the chaotic behaviour in problems of celestial mechanics addressed further on in the book. We consider methods of computation of Lyapunov exponents, FLI (fast Lyapunov indicators), MEGNO (mean exponential growth numbers), construction of sections of phase space, Lyapunov exponent
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Approximate Solutions, Numerical Errors and Chaos of the Logistic Equation

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1991
The standard logistic differential equation is a model, which describes the growth in presence of invariable restraining factors. The general solution of this first order differential equation can be determined by quadratures. The simplest example of a dynamic model that exhibits chaotic dynamic is the logistic difference equation.
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Chaos and complexity in measles models: A comparative numerical study

Mathematical Medicine and Biology, 1993
Recurrent epidemics of measles in developed countries offer a proving ground for current theories of complicated dynamics in ecological and epidemiological systems. This paper contrasts the basic forced SEIR model for measles with a variety of more complicated and realistic models, showing that variations in seasonal forcing and age-structured mixing ...
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