TY  - BOOK
AU  - Awrejcewicz, Jan
AU  - Tenreiro Machado, J. A.
AB  - 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.
DO  - 10.3390/books978-3-03921-617-8
ID  - OAPEN ID: 42588
KW  - n/a
KW  - nonautonomous (autonomous) dynamical system
KW  - stabilization
KW  - multi-time scale fractional stochastic differential equations
KW  - conditional Tsallis entropy
KW  - wavelet transform
KW  - hyperchaotic system
KW  - Chua’s system
KW  - permutation entropy
KW  - neural network method
KW  - Information transfer
KW  - self-synchronous stream cipher
KW  - colored noise
KW  - Benettin method
KW  - method of synchronization
KW  - topological entropy
KW  - geometric nonlinearity
KW  - Kantz method
KW  - dynamical system
KW  - Gaussian white noise
KW  - phase-locked loop
KW  - wavelets
KW  - Rosenstein method
KW  - m-dimensional manifold
KW  - deterministic chaos
KW  - disturbation
KW  - Mittag–Leffler function
KW  - approximate entropy
KW  - bounded chaos
KW  - Adomian decomposition
KW  - fractional calculus
KW  - product MV-algebra
KW  - Tsallis entropy
KW  - descriptor fractional linear systems
KW  - analytical solution
KW  - fractional Brownian motion
KW  - true chaos
KW  - discrete mapping
KW  - partition
KW  - unbounded chaos
KW  - fractional stochastic partial differential equation
KW  - noise induced transitions
KW  - random number generator
KW  - Fourier spectrum
KW  - hidden attractors
KW  - (asymptotical) focal entropy point
KW  - regular pencils
KW  - continuous flow
KW  - Bernoulli–Euler beam
KW  - image encryption
KW  - Gauss wavelets
KW  - Lyapunov exponents
KW  - discrete fractional calculus
KW  - Lorenz system
KW  - Schur factorization
KW  - discrete chaos
KW  - Wolf method
L1  - https://mdpi.com/books/pdfview/book/1719
LA  - English
LK  - https://directory.doabooks.org/handle/20.500.12854/46557
PB  - MDPI - Multidisciplinary Digital Publishing Institute
PY  - 2019
SN  - 9783039216161
SN  - 9783039216178
TI  - Entropy in Dynamic Systemsnull
ER  - 
