Open AccessBook
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
Citations
More filters
Dissertation
Some Generalizations of Bucket Brigade Assembly Lines
TL;DR: This thesis aims to demonstrate the efforts towards in-situ applicability of EMMARM, which aims to provide real-time information about the response of the immune system to EMTs.
Journal ArticleDOI
Transient-chaos induced directed transport in a spatially-open Hamiltonian system
TL;DR: In this paper, the authors study the autonomous Hamiltonian dynamics of non-interacting particles trapped initially in one well of a symmetric multiple-well washboard potential, and demonstrate that violation of parity prevents the existence of pairs of counter-propagating trajectories within the ensemble, despite the time-reversibility symmetry of the equations of motion, allowing for a nonzero current.
Proceedings ArticleDOI
Efficient image encryption and decryption using discrete wavelet transform and fractional Fourier transform
TL;DR: In this article, the authors proposed an algorithm that shows improvement in computation time of existing image encryption-decryption methods by introducing additional one-level of encryption key into the existing methods.
Proceedings ArticleDOI
A possible application of the PD detection technique using electro-optic Pockels cell with nonlinear characteristic analysis on the PD signals
TL;DR: In this paper, a new Partial Discharge (PD) detection technique using Pockels cell was proposed and considerable apparent chaotic characteristics were discussed and the presence of chaos of the PD signals has been investigated by examining their means of qualitative and quantitative information.
References
More filters
Journal ArticleDOI
Synchronization in chaotic systems
TL;DR: This chapter describes the linking of two chaotic systems with a common signal or signals and highlights that when the signs of the Lyapunov exponents for the subsystems are all negative the systems are synchronized.
Journal ArticleDOI
The Fractal Geometry of Nature
TL;DR: A blend of erudition (fascinating and sometimes obscure historical minutiae abound), popularization (mathematical rigor is relegated to appendices) and exposition (the reader need have little knowledge of the fields involved) is presented in this article.
Book
Theory of Ordinary Differential Equations
TL;DR: The prerequisite for the study of this book is a knowledge of matrices and the essentials of functions of a complex variable as discussed by the authors, which is a useful text in the application of differential equations as well as for the pure mathematician.