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Chaos: An Introduction to Dynamical Systems
TLDR
One-dimensional maps, two-dimensional map, fractals, and chaotic attraction attractors have been studied in this article for state reconstruction from data, including the state of Washington.Abstract:
One-Dimensional Maps.- Two-Dimensional Maps.- Chaos.- Fractals.- Chaos in Two-Dimensional Maps.- Chaotic Attractors.- Differential Equations.- Periodic Orbits and Limit Sets.- Chaos in Differential Equations.- Stable Manifolds and Crises.- Bifurcations.- Cascades.- State Reconstruction from Data.read more
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Evolutionary algorithms for solving multi-objective problems
TL;DR: This paper presents a meta-anatomy of the multi-Criteria Decision Making process, which aims to provide a scaffolding for the future development of multi-criteria decision-making systems.
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The geometry of biological time , by A. T. Winfree. Pp 544. DM68. Corrected Second Printing 1990. ISBN 3-540-52528-9 (Springer)
TL;DR: In this paper, the authors describe the rules of the ring, the ring population, and the need to get off the ring in order to measure the movement of a cyclic clock.
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Recurrence plots for the analysis of complex systems
TL;DR: The aim of this work is to provide the readers with the know how for the application of recurrence plot based methods in their own field of research, and detail the analysis of data and indicate possible difficulties and pitfalls.
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Atmospheric Modeling, Data Assimilation and Predictability
TL;DR: A comprehensive text and reference work on numerical weather prediction, first published in 2002, covers not only methods for numerical modeling, but also the important related areas of data assimilation and predictability.
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Differential Equations and Dynamical Systems
TL;DR: In this paper, the Third Edition of the Third edition of Linear Systems: Local Theory and Nonlinear Systems: Global Theory (LTLT) is presented, along with an extended version of the second edition.
References
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Journal ArticleDOI
The Dynamics of the Henon Map
TL;DR: In this paper, the Henon map with expansion combined with strong contraction is modeled on the treatment of the one-dimensional system x→1-ax 2 and the perturbation of a from the value a=2 and b small.
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Controlling Cardiac Chaos
TL;DR: By administering electrical stimuli to the heart at irregular times determined by chaos theory, the arrhythmia was converted to periodic beating and was stabilized to stabilize cardiac arrhythmias induced by the drug ouabain in rabbit ventricle.
Book
Dynamics--the geometry of behavior
TL;DR: Dynamics: The Geometry of Behavior (Studies in Nonlinearity) as discussed by the authors is devoted to give students a couple! When you realize that are lots, of many pages world futures and repellors characteristic.
Book
Perspectives of nonlinear dynamics
TL;DR: In this paper, the authors present models based on second-order difference equations and third-order differential systems for solving solitaires and nonsolitons, and Coupled Maps (CM) and cellular automata (CA).
On differentiable manifolds
TL;DR: Differentiable manifolds and smooth maps as mentioned in this paper have been used to define manifold classes, such as differentiable manifold functions, smooth functions, and smooth map, and constructions of manifolds.