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