Results 21 to 30 of about 5,872 (126)

Periodic and Axial Perturbations of Chaotic Solitons in the Realm of Complex Structured Quintic Swift-Hohenberg Equation

Mathematical and Computational Applications
This research work employs a powerful analytical method known as the Riccati Modified Extended Simple Equation Method (RMESEM) to investigate and analyse chaotic soliton solutions of the (1 + 1)-dimensional Complex Quintic Swift–Hohenberg Equation (CQSHE)
Naveed Iqbal, Wael W. Mohammed, Mohammad Alqudah, Amjad E. Hamza, Shah Hussain   +4 more
doaj   +1 more source

Wave impedance matrices for cylindrically anisotropic radially inhomogeneous elastic solids

, 2010
Impedance matrices are obtained for radially inhomogeneous structures using the Stroh-like system of six first order differential equations for the time harmonic displacement-traction 6-vector.
Norris, Andrew N., Shuvalov, A. L.
core   +1 more source

A compatibility criterion for optimal control and information aggregation in hierarchical network systems

Asian Journal of Control, EarlyView.
Abstract Large swarms often adopt a hierarchical network structure that incorporates information aggregation. Although this approach offers significant advantages in terms of communication efficiency and computational complexity, it can also lead to degradation due to information constraints.
Kento Fujita, Daisuke Tsubakino
wiley   +1 more source

Multiplicity of kink and hump structures in Van der Waals gas system

AIMS Mathematics
In this work, numerous features of the nonlinear Van der Waals gas system in the sense of viscosity capillarity are analytically and theoretically investigated.
Rashid Ali, Rabia Imtiaz, Moin-ud-Din Junjua, Fuad A. Awwad, Emad A. A. Ismail, Ahmed S. Hendy   +5 more
doaj   +1 more source

Solvable Systems of Linear Differential Equations

, 2009
The asymptotic iteration method (AIM) is an iterative technique used to find exact and approximate solutions to second-order linear differential equations.
A. Durmus, A.D. Polyanin, B. Champion, B.I. Jurilin, C.X. Chuan, C.X. Chuan, D.R. Haaheim, E. Kamke, E.D. Rainville, H. Ciftci, H. Ciftci, H. Ciftci, I. Boztosun, Katherine M. Robertson, L.J. Slater, N. Saad, N. Saad, Nasser Saad, W.-C. Qiang   +18 more
core   +1 more source

Analytic structure and power-series expansion of the Jost function for the two-dimensional problem [PDF]

, 2011
For a two-dimensional quantum mechanical problem, we obtain a generalized power-series expansion of the S-matrix that can be done near an arbitrary point on the Riemann surface of the energy, similarly to the standard effective range expansion.
Abramowitz M, Brand L, Helfrich K Hammer H-W, Lefschetz S, Markvoort A J, Mathews J, N Elander, Rakityansky S A, Rakityansky S A, Rakityansky S A, Rakityansky S A, S A Rakityansky, Sofianos S A, Sofianos S A, Verhaar B J   +14 more
core   +2 more sources

Performance improvement of discrete‐time linear‐quadratic regulators applied to uncertain linear systems using the Tikhonov regularization method

Asian Journal of Control, EarlyView.
Abstract The linear‐quadratic regulator (LQR) problem of optimal control of an uncertain discrete‐time linear system (DTLS) is revisited in this paper from the perspective of Tikhonov regularization. We show that an optimally chosen regularization parameter reduces, compared to the classical LQR, the values of a scalar error function, as well as the ...
Fernando Pazos, Amit Bhaya
wiley   +1 more source

Integrable Background Geometries [PDF]

, 2014
This work has its origins in an attempt to describe systematically the integrable geometries and gauge theories in dimensions one to four related to twistor theory. In each such dimension, there is a nondegenerate integrable geometric structure, governed
Calderbank, David M. J.
core   +4 more sources

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

The role of identification in data‐driven policy iteration: A system theoretic study

International Journal of Robust and Nonlinear Control, EarlyView.
Abstract The goal of this article is to study fundamental mechanisms behind so‐called indirect and direct data‐driven control for unknown systems. Specifically, we consider policy iteration applied to the linear quadratic regulator problem. Two iterative procedures, where data collected from the system are repeatedly used to compute new estimates of ...
Bowen Song, Andrea Iannelli
wiley   +1 more source