Reprint

Entropy in Dynamic Systems

Edited by
October 2019
172 pages
  • ISBN978-3-03921-616-1 (Paperback)
  • ISBN978-3-03921-617-8 (PDF)

This book is a reprint of the Special Issue Entropy in Dynamic Systems that was published in

Chemistry & Materials Science
Computer Science & Mathematics
Physical Sciences
Summary

In order to measure and quantify the complex behavior of real-world systems, either novel mathematical approaches or modifications of classical ones are required to precisely predict, monitor, and control complicated chaotic and stochastic processes. Though the term of entropy comes from Greek and emphasizes its analogy to energy, today, it has wandered to different branches of pure and applied sciences and is understood in a rather rough way, with emphasis placed on the transition from regular to chaotic states, stochastic and deterministic disorder, and uniform and non-uniform distribution or decay of diversity. This collection of papers addresses the notion of entropy in a very broad sense. The presented manuscripts follow from different branches of mathematical/physical sciences, natural/social sciences, and engineering-oriented sciences with emphasis placed on the complexity of dynamical systems. Topics like timing chaos and spatiotemporal chaos, bifurcation, synchronization and anti-synchronization, stability, lumped mass and continuous mechanical systems modeling, novel nonlinear phenomena, and resonances are discussed.

Format
  • Paperback
License
© 2019 by the authors; CC BY-NC-ND license
Keywords
multi-time scale fractional stochastic differential equations; fractional Brownian motion; fractional stochastic partial differential equation; analytical solution; nonautonomous (autonomous) dynamical system; topological entropy; (asymptotical) focal entropy point; disturbation; m-dimensional manifold; geometric nonlinearity; Bernoulli–Euler beam; colored noise; noise induced transitions; true chaos; Lyapunov exponents; wavelets; Lyapunov exponents; Wolf method; Rosenstein method; Kantz method; neural network method; method of synchronization; Benettin method; Fourier spectrum; Gauss wavelets; fractional calculus; Adomian decomposition; Mittag–Leffler function; descriptor fractional linear systems; regular pencils; Schur factorization; hyperchaotic system; self-synchronous stream cipher; permutation entropy; image encryption; wavelet transform; product MV-algebra; partition; Tsallis entropy; conditional Tsallis entropy; dynamical system; discrete chaos; discrete fractional calculus; hidden attractors; approximate entropy; stabilization; Information transfer; continuous flow; discrete mapping; Lorenz system; Chua’s system; deterministic chaos; random number generator; unbounded chaos; bounded chaos; phase-locked loop; Gaussian white noise; n/a