Results 71 to 80 of about 5,334 (147)

Dynamics of Bianchi type I elastic spacetimes

, 2007
We study the global dynamical behavior of spatially homogeneous solutions of the Einstein equations in Bianchi type I symmetry, where we use non-tilted elastic matter as an anisotropic matter model that naturally generalizes perfect fluids.
Andersson L, Beig R, Fjällborg M, Heinzle J M, Heinzle J M Uggla C Röhr N, J Mark Heinzle, Karlovini M, Marsden J E, Simone Calogero, Tahvildar-Zadeh A S, Wainwright J, Wernig-Pichler M M   +11 more
core   +2 more sources

KPP fronts in shear flows with cutoff reaction rates

Studies in Applied Mathematics, Volume 153, Issue 3, October 2024.
Abstract We consider the effect of a shear flow which has, without loss of generality, a zero mean flow rate, on a Kolmogorov–Petrovskii–Piscounov (KPP)‐type model in the presence of a discontinuous cutoff at concentration u=uc$u = u_c$. In the long‐time limit, a permanent‐form traveling wave solution is established which, for fixed uc>0$u_c>0$, is ...
D. J. Needham, A. Tzella
wiley   +1 more source

Continuation of connecting orbits in 3D-ODEs: (I) Point-to-cycle connections

, 2007
We propose new methods for the numerical continuation of point-to-cycle connecting orbits in 3-dimensional autonomous ODE's using projection boundary conditions.
Afraimovich V. S., B. W. KOOI, Bykov V. V., E. J. DOEDEL, G. A. K. VAN VOORN, YU. A. KUZNETSOV   +5 more
core   +4 more sources

Electronic Current Density Induced by Uniform Magnetic Fields in Clarenes

Chemistry – A European Journal, Volume 30, Issue 43, August 1, 2024.
Calculations of the magnetic response are reported for few selected clarenes, the most stable isomers among cycloarenes, as identified by maximization of the number of Clar sextets, and tested computationally. Only some of the rings endowed with a Clar sextet show an exaltation of the diatropic ring current, as could have been expected based on ...
Guglielmo Monaco, Francesco F. Summa, Riccardo Zanasi, Paolo Lazzeretti   +3 more
wiley   +1 more source

Kneadings, Symbolic Dynamics and Painting Lorenz Chaos. A Tutorial

, 2012
A new computational technique based on the symbolic description utilizing kneading invariants is proposed and verified for explorations of dynamical and parametric chaos in a few exemplary systems with the Lorenz attractor.
Abad A., Afraimovich V., Afraimovich V., ANDREY SHILNIKOV, Barrio R., Barrio R., Bykov V. V., Glendinning P., Gonchenko S. V., Hubner U., LEONID SHILNIKOV, Malkin M., ROBERTO BARRIO, Roshchin N., Rychlic M., Shilnikov A., Shilnikov L., Shilnikov L., Shilnikov L., Shilnikov L. P.   +19 more
core   +1 more source

Korteweg–de Vries waves in peridynamical media

Studies in Applied Mathematics, Volume 152, Issue 1, Page 376-403, January 2024.
Abstract We consider a one‐dimensional peridynamical medium and show the existence of solitary waves with small amplitudes and long wavelength. Our proof uses nonlinear Bochner integral operators and characterizes their asymptotic properties in a singular scaling limit.
Michael Herrmann, Katia Kleine
wiley   +1 more source

A new proof of the Bianchi type IX attractor theorem

, 2009
We consider the dynamics towards the initial singularity of Bianchi type IX vacuum and orthogonal perfect fluid models with a linear equation of state.
Calogero S, Claes Uggla, Coley A A, Collins C B, Heinzle J M, Heinzle J M, Heinzle J M, J Mark Heinzle, Jantzen R T, Jantzen R T Ruffini R Melchiorri F, Lim W C, Perko L, Rendall A D, Ringström H, Ringström H, Wainwright J, Wainwright J, Wainwright J   +17 more
core   +1 more source

Relaxation Oscillation in SEIR Epidemic Models with the Intrinsic Growth Rate

Complexity, Volume 2024, Issue 1, 2024.
The periodic oscillation transmission of infectious diseases is widespread, deep understanding of this periodic pattern and exploring the generation mechanism, and identifying the specific factors that lead to such periodic outbreaks, which are of very importanceto predict and control the spread of infectious diseases.
Yingying Zhang, Ruohan Wang, Yanan Cai, Atila Bueno   +3 more
wiley   +1 more source

Periodic orbits around areostationary points in the Martian gravity field

, 2012
This study investigates the problem of areostationary orbits around Mars in the three-dimensional space. Areostationary orbits are expected to be used to establish a future telecommunication network for the exploration of Mars.
Baoyin, Hexi, Liu, Xiaodong, Ma, Xingrui
core   +1 more source

Approximate Damped Oscillatory Traveling Wave in Viscous Compressible Fluid With Capillary Effect

Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.
We convert the viscous compressible fluid equations with capillary effect into the equivalent planar dynamical system and illustrate the global qualitative phase diagrams corresponding to its bounded orbits by the qualitative theory of ordinary differential equations.
Xiang Li, Weiguo Zhang, Mariano Torrisi
wiley   +1 more source