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Page 1765 of Mathematical Reviews Vol. , Issue 2003C
[page]
2003
Mathematical Reviews
Bifurcations in a Mathieu equation with cubic nonlinearities. ...
Among other things, the above conditions are satisfied by the general diagonal system of weakly coupled nonlinear second-order parabolic equations of reaction- diffusion-convection type. ...
Exploding dissipative solitons in reaction-diffusion systems
2013
Physical Review E
We show that exploding dissipative solitons can arise in a reaction-diffusion system for a range of parameters. ...
lower symmetry such as the reaction-diffusion model studied here. ...
CGL equation, which can be directly compared with the reaction diffusion model studied in the present paper [Eqs ...
doi:10.1103/physreve.88.042911
pmid:24229253
fatcat:g7yinpvvpbgvdgtdr5cs6nuilm
Page 3462 of Mathematical Reviews Vol. , Issue 90F
[page]
1990
Mathematical Reviews
called the master equation, for a reaction-diffusion system. ...
The author corrects a result of Smoller and Wasserman on the number of critical points of the time map associated with a scalar second-order equation with cubic nonlinearity. ...
Page 9624 of Mathematical Reviews Vol. , Issue 2003m
[page]
2003
Mathematical Reviews
Further, when solving the original nonlinear parabolic equation with given estimation for the parameter, a backward Euler method is used. ...
(ET-BENS; Benha)
Some analytical solutions for groundwater flow and transport equation. (English summary)
Transp. Porous Media 47 (2002), no. 3, 295-308. ...
List of contents
2003
Applied Mathematics Letters
Maximum Principle for Nonliner Differential
Inequalities
The Dimension of the Global Attractor for Dissipative
Reaction-Diffusion Systems
Rational Energy Decay Rate for a Wave Equation with
Dynamical ...
Solution for Some Stochastic Differential Equations Involving Both Gaussian and Poissonian White Noises The Existence of Contingent Epiderivatives for Set-Valued Maps Some Properties of Ramsey Numbers ...
doi:10.1016/s0893-9659(03)90138-8
fatcat:sgh4wgebmnfchpedljenuojy2m
Page 2735 of Mathematical Reviews Vol. , Issue 98E
[page]
1998
Mathematical Reviews
Hutson, Reaction-diffusion systems in biology (159-177); V. Kertész, Stability investigation of a nonlinear parabolic equation (179-192); Z. ...
Veron, Some existence and uniqueness results for solution of some quasilinear elliptic equations on compact Riemannian man- ifolds (317-352); A. ...
Page 3773 of Mathematical Reviews Vol. , Issue 2002F
[page]
2002
Mathematical Reviews
, Positive solutions of a boundary value problem for fourth order nonlinear differential equations (217-224); John R. Graef and Janos Karsai, Nonlinear systems with impulse perturbations (225-232). ...
Vatsala and Liwen Wang, The extension of the quasilinearization method for non- local reaction diffusion equations (585-593); A. S. ...
Spatiotemporal patterns driven by autocatalytic internal reaction noise
2005
Journal of Chemical Physics
We then derive a Langevin description of the field theory and use these stochastic differential equations in our simulations. ...
that react and diffuse in the presence of strong internal reaction noise. ...
ACKNOWLEDGMENTS We thank Marcel Vlad for a critical reading of the manuscript, for useful discussions, and for bringing our attention to the papers cited in Refs. 15 ...
doi:10.1063/1.1900092
pmid:15974756
fatcat:nzkqbhur4bd5hfvpeafolvgdgq
Page 14 of Mathematical Reviews Vol. , Issue 99a
[page]
1991
Mathematical Reviews
-108); Yuan-Wei Qi, A unified approach towards nonlinear parabolic equations with strong reaction in R" (109- 119); Guozhong Cui and Yuanming Wang [Yuan Ming Wang'], Global existence of smooth solution ...
logistic map with diffusion (21-39); Takashi Nakano, Mallat transformation with periodic boundary condition and applica- tion to tribology (53-68); Shinya Moritoh, Wavelet transforms on spheres—a brief ...
Page 2360 of Mathematical Reviews Vol. , Issue 92e
[page]
1992
Mathematical Reviews
The problems are of varying type. Most, but not all, involve differential equations to some extent. ...
General prop- erties of this system are discussed in Chapter III by comparing the system with a standard reaction-diffusion system with no-flux boundary conditions. ...
The turbulent dynamo as an instability in a noisy medium
2005
European Physical Journal B : Condensed Matter Physics
In recent years, it has been shown on stochastic oscillators that this type of approach could be misleading. ...
In this paper, we develop a stochastic description of the turbulent dynamo effect which permits us to define unambiguously a threshold for the dynamo effect, namely by globally analyzing the probability ...
Marcq for discussion and comments. We also thank Y. Pomeau for stimulating the study of the intermittent dynamo and F. Pétrélis for pointing out the link with the "on-off"intermittency. ...
doi:10.1140/epjb/e2005-00138-y
fatcat:gdm7lf2bdbbbnpv7netsrog6ku
Enhancement of Stochastic Resonance in Distributed Systems due to a Selective Coupling
2000
Physical Review Letters
We now consider a field-dependent diffusivity and show that the "selectivity" of the coupling is more efficient for achieving stochastic-resonance enhancement than its overall value in the constant-diffusivity ...
Similar results have been analytically obtained in a reaction-diffusion model, using "nonequilibrium potential" techniques. ...
HSW and RD thank the ICTP for the kind hospitality extended to them during their stay. ...
doi:10.1103/physrevlett.84.404
pmid:11015924
fatcat:k6puecd45zc7tcg4jwaj3mxie4
Author Index Volume 235 (2011)
2011
Journal of Computational and Applied Mathematics
Khaled, New types of exact solutions for nonlinear Schrödinger equation with cubic nonlinearity 1984-1992 El Wassouli, F., An explicit expression for the Harish-Chandra c-function for the homogeneous space ...
Sinelshchikov, Comment on "New types of exact solutions for nonlinear Schrodinger equation with cubic nonlinearity" 4513-4515 Kumar, S., see Chandra Sekhara Rao, S. 3342-3354 Kundeti, V. and S. ...
doi:10.1016/s0377-0427(11)00383-9
fatcat:iydszqpkezgivirtbnwhpwere4
Page 4756 of Mathematical Reviews Vol. , Issue 2003f
[page]
2003
Mathematical Reviews
“For the inverse problem, we show that in the case of nonlinear diffusion, the diffusion coefficient is derived independently of the nonlinear reaction function and the nonlinear advection coefficient ...
In particular, for a periodic orbit a correlation decay is shown to be related to and computable from the variation of the period with respect to the “pseudo-energy” of that orbit. ...
Effects of intrinsic stochasticity on delayed reaction-diffusion patterning systems
2012
Physical Review E
In deterministic systems a small delay in the reactions can cause a large increase in the time it takes a system to pattern. ...
Since diffusion-driven instability has been observed to be sensitive to perturbations in kinetic delays, the application of Turing patterning mechanisms to the problem of producing spatially heterogeneous ...
Note that this increased sensitivity to ligand internalization is present in both the deterministic and stochastic formalisms, for although in some cases, e.g., cubic autocatalysis kinetics [see Fig. ...
doi:10.1103/physreve.85.051914
pmid:23004794
fatcat:xlzfecgoe5d7rcj3k5c5g7ypeu
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