Results 11 to 20 of about 350,611 (269)
Dynamics of Nonlinear Systems [PDF]
The Scientific World Journal, 2014 In the last few decades, theory of dynamical systems has become a rapidly growing area of mathematics and attracted many researchers. This theory is an important and well-established branch of the modern mathematics. The reason lies in the fact that the study of dynamical systems not only has an important theoretical interest, but also is motivated by ...
Maoan Han +3 more
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A Granular System of Ellipses under Linear Shear
EPJ Web of Conferences, 2017 Shear of granular systems of disks (in 2D) and spheres (3D) has been studied extensively. However, less is known about systems of non-spherical particles, i.e., ellipses and polygons, etc.
Wang Dong, Zheng Hu, Behringer Robert P.
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A posteriori error estimates of spectral method for nonlinear parabolic optimal control problem
Journal of Inequalities and Applications, 2018 In this paper, we investigate the spectral approximation of optimal control problem governed by nonlinear parabolic equations. A spectral approximation scheme for the nonlinear parabolic optimal control problem is presented. We construct a fully discrete
Lin Li +4 more
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CoRR, 2020 In this paper, we propose a definition of phase for a class of stable nonlinear systems called semi-sectorial systems, from an input-output perspective. The definition involves the Hilbert transform as a critical instrument to complexify real-valued signals since the notion of phase arises most naturally in the complex domain.
Chao Chen 0043 +4 more
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Lump Solutions and Resonance Stripe Solitons to the (2+1)-Dimensional Sawada-Kotera Equation
Advances in Mathematical Physics, 2017 Based on the symbolic computation, a class of lump solutions to the (2+1)-dimensional Sawada-Kotera (2DSK) equation is obtained through making use of its Hirota bilinear form and one positive quadratic function.
Xian Li, Yao Wang, Meidan Chen, Biao Li
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Simple Sliding Mode Controller with Adaptive Fuzzy Saturation Function for Nonlinear Single Input-Single Output System [PDF]
Engineering and Technology Journal, 2010 Sliding mode control algorithm that uses fuzzy saturation function is designed inthis paper for nonlinear system. The fuzzy saturation function is suggested to improvethe accuracy and the robustness of the sliding mode control which are partially ...
Hanady A. Jaber +2 more
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Micromachines, 2019 The dynamic equations of a four-degree-of-freedom micro gyroscope system were developed considering the nonlinearity of driving stiffness, the primary resonance, and the 1:1 internal resonance.
Mingjiang Han +3 more
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Applied Sciences, 2021 The development of quadrotor unmanned aerial vehicles (QUAVs) is a growing field due to their wide range of applications. QUAVs are complex nonlinear systems with a chaotic nature that require a controller with extended dynamics.
Nadia Samantha Zuñiga-Peña +4 more
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Observability of nonlinear systems
Information and Control, 1973 The purpose of this paper is to investigate the problem of observability of nonlinear systems. Two sufficient conditions of global observability of nonlinear systems are presented: (1) the ratio condition which is the generalization of Fujisawa and Kuh's (1971) ratio condition of circuit theory, (2) the strongly positive semidefinite condition.
Shauying R. Kou +2 more
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Advances in Mathematical Physics, 2016 It is proved that the modified Boussinesq equation is consistent Riccati expansion (CRE) solvable; two types of special soliton-cnoidal wave interaction solution of the equation are explicitly given, which is difficult to be found by other traditional ...
Wenguang Cheng, Biao Li
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