Results 31 to 40 of about 487,705 (287)

On the universality of the Discrete Nonlinear Schroedinger Equation

, 2007
We address the universal applicability of the discrete nonlinear Schroedinger equation. By employing an original but general top-down/bottom-up procedure based on symmetry analysis to the case of optical lattices, we derive the most widely applicable and
A. Ciattoni, A. Davydov, A. Yariv, Andrea Fratalocchi, B. Crosignani, C. Beck, D. N. Christodoulides, E. Ott, E. Segre, G. Benfatto, G. W. Bluman, G. W. Bluman, Gaetano Assanto, K. Sakoda, L. Kadanof, M. Hamermesh, M. J. Ablowitz, M. J. Ablowitz, N. Akhmediev, P. J. Olver, R. Hermann, R. W. Boyd, S. N. Elaydi, S. Trillo, T. Inui, T. Tamir, V. E. Zakharov, V. V. Apollonov, Y. Liu, Y. S. Kivshar   +29 more
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Stabilization of nonlinear discrete-time systems via a digital communication channel

International Journal of Mathematics and Mathematical Sciences, 2005
We deal with the stabilization problem for a class of nonlinear discrete-time systems via a digital communication channel. We consider the case when the control input is to be transmitted via communication channels with a bit-rate constraint.
V. N. Phat, J. Jiang
doaj   +1 more source

An Implicit Difference Scheme for the Fourth-Order Nonlinear Evolution Equation with Multi-Term Riemann–Liouvile Fractional Integral Kernels

Fractal and Fractional, 2022
In this paper, an implicit difference scheme is proposed and analyzed for a class of nonlinear fourth-order equations with the multi-term Riemann–Liouvile (R–L) fractional integral kernels.
Xiaoxuan Jiang, Xuehua Yang, Haixiang Zhang, Qingqing Tian   +3 more
doaj   +1 more source

Multiple Periodic Solutions to Nonlinear Discrete Hamiltonian Systems

Advances in Difference Equations, 2007
An existence result of multiple periodic solutions to the asymptotically linear discrete Hamiltonian systems is obtained by using the Morse index theory.
Zheng Bo
doaj   +2 more sources

Global Exponential Stability of Discrete-Time Neural Networks with Time-Varying Delays

Discrete Dynamics in Nature and Society, 2013
This paper presents some global stability criteria of discrete-time neural networks with time-varying delays. Based on a discrete-type inequality, a new global stability condition for nonlinear difference equation is derived.
S. Udpin, P. Niamsup
doaj   +1 more source

New Stability Conditions for a Class of Nonlinear Discrete-Time Systems with Time-Varying Delay

Mathematics, 2020
In this paper, the stability problem of discrete time delay systems is investigated. The class of systems under consideration is represented by delayed difference equations and models nonlinear discrete time systems with time varying delay.
Sami Elmadssia, Karim Saadaoui
doaj   +1 more source

Exploiting structure in piecewise affine identification of LFT systems [PDF]

, 2009
Identification of interconnected systems is a challenging problem in which it is crucial to exploit the available knowledge about the interconnection structure.
Date, P, Garulli, A, Paoletti, S, Pepona, E   +3 more
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Controller Synthesis for Discrete-Time Polynomial Systems via Occupation Measures

, 2018
In this paper, we design nonlinear state feedback controllers for discrete-time polynomial dynamical systems via the occupation measure approach. We propose the discrete-time controlled Liouville equation, and use it to formulate the controller synthesis
Han, Weiqiao, Tedrake, Russ
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Stochastic Physics, Complex Systems and Biology [PDF]

, 2012
In complex systems, the interplay between nonlinear and stochastic dynamics, e.g., J. Monod's necessity and chance, gives rise to an evolutionary process in Darwinian sense, in terms of discrete jumps among attractors, with punctuated equilibrium ...
A Lasota, B Alberts, B E Shapiro, C Bustamante, D A Beard, D Hanahan, D-Q Jiang, E V Koonin, H D I Abarbanel, H Ge, H Ge, H Ge, H Ge, H Ge, H Haken, H Qian, H Qian, H Qian, H Qian, H Qian, H Qian, H Qian, H Tong, H V Westerhoff, I Prigogine, J J Hopfield, J Knight, J Monod, J Wang, J Wang, J Wang, L Bertalanffy Von, L Cai, L Onsager, M B Elowitz, M C Mackey, M W Kirschner, N Wax, P Ao, P Ao, P Ao, P B Moore, R F Fox, R Phillips, W J Ewens, X-J Zhang   +45 more
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A Variational Formulation of Nonequilibrium Thermodynamics for Discrete Open Systems with Mass and Heat Transfer

Entropy, 2018
We propose a variational formulation for the nonequilibrium thermodynamics of discrete open systems, i.e., discrete systems which can exchange mass and heat with the exterior.
François Gay-Balmaz, Hiroaki Yoshimura
doaj   +1 more source