Suto's method applied to a problem of Färe and Mitchell. (Summary).
Switched modified function projective synchronization between two complex nonlinear hyperchaotic systems based on adaptive control and parameter identification
This paper investigates adaptive switched modified function projective synchronization between two complex nonlinear hyperchaotic systems with unknown parameters. Based on adaptive control and parameter identification, corresponding adaptive controllers with appropriate parameter update laws are constructed to achieve switched modified function projective synchronization between two different complex nonlinear hyperchaotic systems and to estimate the unknown system parameters. A numerical simulation...
Switching signal design for global exponential stability of uncertain switched neutral systems.
Switchings of optimal controls and the equation ,
Symmetric equilibria for a beam with a nonlinear elastic foundation.
Symmetric positive solutions for nonlinear singular fourth-order eigenvalue problems with nonlocal boundary condition.
Symmetric subspaces related to certain eigenvalue problems
Symmetries and integration of differential equations.
Symmetries and solutions to equations of two-dimensional motions of polytropic gas.
Symmetries and solvability of linear differential equations.
The canonical form theorem, applied to a certain group of symmetry transformations of certain Fuchsian equations, leads automatically to the integration of them. The result can be extended to any n-order differential equation possesing a certain pointlike group of symmetries with a maximal abelian Lie-subgroup of order c.
Symmetries in connection preserving deformations.
Symmetries of the nonlinear Schrödinger equation
Symmetries of the defocusing nonlinear Schrödinger equation are expressed in action-angle coordinates and characterized in terms of the periodic and Dirichlet spectrum of the associated Zakharov-Shabat system. Application: proof of the conjecture that the periodic spectrum of a Zakharov-Shabat operator is symmetric,i.e. for all , if and only if the sequence of gap lengths, , is symmetric with respect to .
Symmetry algebras and normal forms of third order ordinary differential equations.
Symmetry in a certain simply perturbed Hamiltonian system
Symmetry properties of autonomous integrating factors.
Synchronization in ensembles of coupled maps with a major element.
Synchronization of chaotic fractional-order WINDMI systems via linear state error feedback control.
Synchronization of fractional chaotic complex networks with delays
The synchronization of fractional-order complex networks with delay is investigated in this paper. By constructing a novel Lyapunov-Krasovskii function and taking integer derivative instead of fractional derivative of the function, a sufficient criterion is obtained in the form of linear matrix inequalities to realize synchronizing complex dynamical networks. Finally, a numerical example is shown to illustrate the feasibility and effectiveness of the proposed method.
Synchronization of fractional-order chaotic systems with multiple delays by a new approach
In this paper, we propose a new approach of designing a controller and an update rule of unknown parameters for synchronizing fractional-order system with multiple delays and prove the correctness of the approach according to the fractional Lyapunov stable theorem. Based on the proposed approach, synchronizing fractional delayed chaotic system with and without unknown parameters is realized. Numerical simulations are carried out to confirm the effectiveness of the approach.
Synchronization of nonautonomous dynamical systems.