Results 81 to 90 of about 1,223,896 (216)

Applications of the New Compound Riccati Equations Rational Expansion Method and Fan's Subequation Method for the Davey-Stewartson Equations

open access: yesBoundary Value Problems, 2010
We used what we called extended Fan's sub-equation method and a new compound Riccati equations rational expansion method to construct the exact travelling wave solutions of the Davey-Stewartson (DS) equations. The basic idea of the proposed extended Fan'
Zedan Hassan
doaj  

Entropy Measures as Geometrical Tools in the Study of Cosmology

open access: yesEntropy, 2017
Classical chaos is often characterized as exponential divergence of nearby trajectories. In many interesting cases these trajectories can be identified with geodesic curves.
Gilbert Weinstein   +6 more
doaj   +1 more source

A note on the Riccati differential equation

open access: yesJournal of Mathematical Analysis and Applications, 2003
The author presents some results for the Riccati differential equation \(u'=A(z)+u^2\) with nonentire meromorphic functions \(A(z)\). He also presents some examples to illustrate some of this results.
openaire   +1 more source

Long term behavior of solutions for Riccati initial-value problems

open access: yesElectronic Journal of Differential Equations, 2008
The Riccati equation has been known since the early 1700s. Numerous papers have been written on the solvability of its special cases. However, to the best of our knowledge, there are no papers that investigate the exact (equation specific) conditions
Stefan C. Johnson   +2 more
doaj  

Ultradiscrete Painlevé VI with Parity Variables

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2013
We introduce a ultradiscretization with parity variables of the q-difference Painlevé VI system of equations. We show that ultradiscrete limit of Riccati-type solutions of q-Painlevé VI satisfies the ultradiscrete Painlevé VI system of equations with the
Kouichi Takemura, Terumitsu Tsutsui
doaj   +1 more source

Analytical study of reaction diffusion Lengyel-Epstein system by generalized Riccati equation mapping method. [PDF]

open access: yesSci Rep, 2023
Ahmed N   +7 more
europepmc   +1 more source

An overview of recent developments in computational methods for periodic systems [PDF]

open access: yes, 2007
: At the First IFAC Workshop on Periodic Systems (Como, Italy, 2001), a state of the art survey of computational methods for periodic systems has been presented (Varga and Van Dooren, 2001).
Andras Varga, Varga, Andreas
core   +1 more source

On solving periodic differential matrix equations with applications to periodic system norms computation [PDF]

open access: yes, 2005
Periodic Lyapunov, Sylvester and Riccati differ- ential equations have many important applications in the analysis and design of linear periodic control systems.
Varga, Andreas
core  

Attitude Control of Spacecraft by State Dependent Riccati Equation and Power Series Expansion of Riccati Methods [PDF]

open access: yesفصلنامه علوم و فناوری فضایی, 2015
Attitude control of spacecraft in order to nonlinear and high order dynamics is fundamental and challenging issue. With respect to these nonlinearities, linear control theories are not suitable choices and spacecraft may be unstable or lose performance ...
M. Navabi, M. Tavana, H.R. Mirzaei
doaj  

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