Results 21 to 30 of about 160,178 (282)
Generalized Hermite processes, discrete chaos and limit theorems [PDF]
, 2014 We introduce a broad class of self-similar processes $\{Z(t),t\ge 0\}$ called generalized Hermite process. They have stationary increments, are defined on a Wiener chaos with Hurst index $H\in (1/2,1)$, and include Hermite processes as a special case ...
Bai, Shuyang, Taqqu, Murad S.
core +2 more sources
Chaotic Behaviour in Two-parameter Family of Transcendental Functions Associated with Exponential Map [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2020 This article is devoted to the study of chaos and bifurcation in the real dynamics of a newly proposed two-parameter family of transcendental functions. We assume that one parameter is continuous and other parameter is discrete.
Mohammad Sajid, Abdullah S. Alsuwaiyan
doaj +1 more source
The Fractional Form of the Tinkerbell Map Is Chaotic
Applied Sciences, 2018 This paper is concerned with a fractional Caputo-difference form of the well-known Tinkerbell chaotic map. The dynamics of the proposed map are investigated numerically through phase plots, bifurcation diagrams, and Lyapunov exponents considered from ...
Adel Ouannas +5 more
doaj +1 more source
Fractional Form of a Chaotic Map without Fixed Points: Chaos, Entropy and Control
Entropy, 2018 In this paper, we investigate the dynamics of a fractional order chaotic map corresponding to a recently developed standard map that exhibits a chaotic behavior with no fixed point.
Adel Ouannas +5 more
doaj +1 more source
Stability for Receding-horizon Stochastic Model Predictive Control [PDF]
, 2015 A stochastic model predictive control (SMPC) approach is presented for discrete-time linear systems with arbitrary time-invariant probabilistic uncertainties and additive Gaussian process noise.
Mesbah, Ali +2 more
core +1 more source
Robinson’s chaos in set-valued discrete systems☆
Chaos, Solitons & Fractals, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Roman-Flores, H, Chalco-Cano, Y
openaire +4 more sources
Quantum dynamical entropies in discrete classical chaos
Journal of Physics A: Mathematical and General, 2003 We discuss certain analogies between quantization and discretization of classical systems on manifolds. In particular, we will apply the quantum dynamical entropy of Alicki and Fannes to numerically study the footprints of chaos in discretized versions of hyperbolic maps on the torus.
BENATTI, FABIO +2 more
openaire +3 more sources
Singularity Confinement and Chaos in Discrete Systems [PDF]
Physical Review Letters, 1998 We present a number of second order maps, which pass the singularity confinement test commonly used to identify integrable discrete systems, but which nevertheless are non-integrable. As a more sensitive integrability test, we propose the analysis of the complexity (``algebraic entropy'') of the map using the growth of the degree of its iterates ...
Hietarinta, Jarmo, Viallet, Claude
openaire +2 more sources
Parameter Identification of Fractional-Order Discrete Chaotic Systems
Entropy, 2019 Research on fractional-order discrete chaotic systems has grown in recent years, and chaos synchronization of such systems is a new topic. To address the deficiencies of the extant chaos synchronization methods for fractional-order discrete chaotic ...
Yuexi Peng +3 more
doaj +1 more source
Discrete Dynamics in Nature and Society, 2021 The dynamics behavior of a discrete-time three-species food chain model is investigated. By using bifurcation theory, it is shown that the equilibrium point of the system loses its stability, and the system undergoes Neimark–Sacker bifurcation, which ...
Guo Feng, Ding Yin, Li Jiacheng
doaj +1 more source