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by Wu, ZZ and Huang, ZY
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, ISSN 2070-0733, 02/2020, Volume 12, Issue 1, pp. 30 - 56
In this paper, we analyse the stochastic collocation method for a linear Schrodinger equation with random inputs, where the randomness appears in the potential... 
MATHEMATICS, APPLIED | uncertainty quantification | ENERGY | POLYNOMIAL CHAOS | APPROXIMATIONS | GALERKIN METHOD | GLOBAL WELL-POSEDNESS | DENSITY | TRANSPORT | MECHANICS | Schrodinger equation | convergence analysis | PARTIAL-DIFFERENTIAL-EQUATIONS | stochastic collocation methods | HYPERBOLIC-EQUATIONS | OPERATORS
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2020, Volume 485, Issue 2, p. 123823
Journal Article
Journal of Symbolic Computation, ISSN 0747-7171, 05/2020, Volume 98, pp. 84 - 119
Journal Article
Optics and Lasers in Engineering, ISSN 0143-8166, 05/2020, Volume 128, p. 105995
Chaotic systems have been widely applied in digital image encryption due to their complex properties such as ergodicity, pseudo randomness and extreme... 
DNA sequence | Image encryption | Knuth–Durstenfeld algorithm | Hidden attractor chaos system
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 04/2020, Volume 83, p. 105129
The study of regular and chaotic Rayleigh-Bénard convective motions in methanol and water is made. The stationary mode of convection is shown to be the... 
Chaos | Water | Rayleigh-Bénard convection | Bifurcation diagram | Regular | Lyapunov exponent | Periodic | Methanol
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 04/2020, Volume 83, p. 105137
We experimentally, numerically, and theoretically characterize the effectiveness of incommensurate excitations at suppressing chaos in damped driven systems.... 
Chaos control in a prototypical nolinear oscillator via Incommensurate drivings | Theoretical and numerical study | Experimental
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 04/2020, Volume 370, p. 124909
This paper is devoted to exploring the complex dynamics of contest model, where two agents compete for some object with asymmetric valuations by simultaneously... 
Stability | Contest | Flip bifurcation | Neimark-Sacker bifurcation | Bounded rationality | COMPLEX DYNAMICS | MATHEMATICS, APPLIED | CHAOS CONTROL | STACKELBERG GAME | PRICE GAME | EQUILIBRIUM | OLIGOPOLY GAMES | NONLINEAR DUOPOLY GAME | RENT-SEEKING | BIFURCATION
Journal Article
Mechanical Systems and Signal Processing, ISSN 0888-3270, 04/2020, Volume 138, p. 106539
An investigation has been made into the nonlinear aeroelastic behavior of an airfoil system with free-play nonlinear stiffness in transonic flow. Computational... 
Chaos | Nonlinear aeroelastic response | Free-play | Transonic flutter | Viscous flow
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 03/2020, Volume 369, p. 124840
Electromagnetic radiation has an effect on the functional behavior of nervous system, and appropriate electromagnetic radiation is helpful to treat some... 
Electromagnetic radiation | Transient chaos | Hyperchaos | Dynamics behaviors | Neural network | SYSTEM | MATHEMATICS, APPLIED | LYAPUNOV EXPONENTS | STABILITY | INDUCTION | SYNCHRONIZATION | ATTRACTORS | EQUILIBRIA | PERIOD | NEURONS
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 03/2020, Volume 369, p. 124896
This paper deals with the uniform stability in mean square of stochastic fractional-order memristor fuzzy BAM neural networks with delay and leakage terms. By... 
Fractional-order | Fuzzy BAM neural networks | Stochastic | Leakage term | Uniform stability | EXISTENCE | MATHEMATICS, APPLIED | EXPONENTIAL STABILITY | ROBUST STABILITY | TIME-VARYING DELAYS | SYNCHRONIZATION | CHAOS | DISCRETE | PERIODIC-SOLUTION | BIFURCATION
Journal Article
Computers and Chemical Engineering, ISSN 0098-1354, 03/2020, Volume 134, p. 106685
We present an uncertainty quantification (UQ) algorithm using the intrusive generalized polynomial chaos (gPC) expansion in combination with dimension... 
Penicillin production | Generalized polynomial chaos | Stochastic collocation | Generalized dimension reduction | Parametric uncertainty | Autocrine signalling of living cells
Journal Article
Reliability Engineering and System Safety, ISSN 0951-8320, 03/2020, Volume 195, p. 106737
This paper presents an efficient surrogate modeling strategy for the uncertainty quantification and Bayesian calibration of a hydrological model. In... 
Bayesian calibration | Dimension reduction | Polynomial chaos expansions | Sensitivity analysis | Urban drainage simulation | Uncertainty quantification | Surrogate modeling | Principal component analysis | Statistics - Computation | Structures | Applications | Engineering Sciences | Statistics | Civil Engineering
Journal Article
Applied Mathematical Modelling, ISSN 0307-904X, 03/2020, Volume 79, pp. 639 - 671
Journal Article
Applied Mathematical Modelling, ISSN 0307-904X, 03/2020, Volume 79, pp. 865 - 880
Journal Article
Mathematics and Computers in Simulation, ISSN 0378-4754, 03/2020, Volume 169, pp. 133 - 148
In this paper, delay differential equations are adopted to describe the ordering performance of the risk-averse newsvendor with supply chain financing.... 
Supply chain financing | Newsvendor model | Stability | Period doubling bifurcation | CVaR profit | MATHEMATICS, APPLIED | KNOWLEDGE | EQUATIONS | HOPF BIFURCATIONS | PATTERNS | COMPUTER SCIENCE, SOFTWARE ENGINEERING | CHAOS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | BIFURCATION-ANALYSIS | COURNOT DUOPOLY
Journal Article
Molecular Therapy - Nucleic Acids, ISSN 2162-2531, 03/2020, Volume 19, pp. 602 - 611
Journal Article
Chaos, Solitons & Fractals, ISSN 0960-0779, 03/2020, Volume 132, p. 109581
Journal Article
Chaos, Solitons & Fractals, ISSN 0960-0779, 03/2020, Volume 132, p. 109583
Journal Article
Bulletin des sciences mathématiques, ISSN 0007-4497, 03/2020, Volume 159, p. 102826
Complementing earlier results on dynamics of unilateral weighted shifts, we obtain a sufficient (but not necessary, with supporting examples) condition for... 
Chaos | Linear dynamics | Mixing | Reproducing kernel Hilbert spaces | Hypercyclicity | Multiplication operator
Journal Article
by Yang, T
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, ISSN 1531-3492, 03/2020, Volume 25, Issue 3, pp. 1097 - 1108
This paper investigates the homoclinic orbits and chaos in the generalized Lorenz system. Using center manifold theory and Lyapunov functions, we get... 
EXISTENCE | MATHEMATICS, APPLIED | chaos | Lyapunov functions | homoclinic orbits | FORM | Generalized Lorenz system | fishing principle | EQUATIONS | PROOF
Journal Article