Results 31 to 40 of about 1,118,392 (164)

Travelling waves for an epidemic model with non-smooth treatment rates [PDF]

, 2010
This is the post-print version of the final published paper that is available from the link below. Copyright @ 2010 IOP Publishing Ltd and SISSA.We consider a susceptible–infected–removed (SIR) epidemic model with two types of nonlinear treatment rates:
Winter, M, Hussaini, N, N Hussaini, M Winter   +3 more
core   +1 more source

Optimisation of solar sail interplanetary heteroclinic connections [PDF]

2nd IAA/AAS Conference on Dynamics and Control of Space Systems, DyCoSS2, 2014
This paper investigates time-optimal solar sail trajectories between displaced Libration Point Orbits (LPOs) of different circular restricted three-body systems. Key in the investigations is the search for transfers that require little steering ef-fort to enable the transfers with low control authority solar sail-like devices such as SpaceChips.
Heiligers, Jeannette, Mingotti, Giorgio, McInnes, Colin   +2 more
openaire   +1 more source

NMS Flows on S 3 with no Heteroclinic Trajectories Connecting Saddle Orbits [PDF]

Journal of Dynamics and Differential Equations, 2012
By investigating the 3-manifold obtained from iterated connected sums of tori, the authors characterize the nonsingular Morse-Smale system (NMS) links of periodic orbits on \(S^3\) associated to round 1-handles. They obtain a correspondence between flows characterized by the links and the NMS flows on \(S^3\) that are connected sums of flows. They show
Vindel, Pura, Campos, Beatriz
openaire   +1 more source

Metric methods for heteroclinic connections in infinite dimensional spaces [PDF]

Indiana University Mathematics Journal, 2020
We consider the minimal action problem min \int\_R 1/2 |$γ$'|^2 + W($γ$) dt among curves lying in a non-locally-compact metric space and connecting two given zeros of W $\ge$ 0. For this problem, the optimal curves are usually called heteroclinic connections.
Monteil, Antonin, Santambrogio, Filippo
openaire   +2 more sources

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

Communications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone, Louise Gassot, Patrick Gérard, Peter D. Miller   +3 more
wiley   +1 more source

The heteroclinic connection problem for general double-well potentials [PDF]

, 2014
By variational methods, we provide a simple proof of existence of a heteroclinic orbit to a second order Hamiltonian ODE that connects the two global minima of a double-well potential.
Sourdis, Christos
core  

Heteroclinic orbits between rotating waves of semilinear parabolic equation on the circle [PDF]

, 2003
We investigate heteroclinic orbits between equilibria and rotating waves for scalar semilinear parabolic reaction-advection-diffusion equations with periodic boundary conditions.
Carlos Rocha, Matthias Wolfrum, Fiedler, Bernold, Bernold Fiedler, Rocha, Carlos, Wolfrum, Matthias   +5 more
core   +1 more source

Creation of single-wing Lorenz-like attractors via a ten-ninths-degree term

Open Physics
In light of the subtle connection between the strange attractors and the degree of dynamical systems, in this study, we propose a new simple asymmetric Lorenz-like system and report the finding of single-wing Lorenz-like attractors, which can also be ...
Pan Jun, Wang Haijun, Ke Guiyao, Hu Feiyu   +3 more
doaj   +1 more source

Symmetric Heteroclinic Connections in the Michelson System: A Computer Assisted Proof [PDF]

SIAM Journal on Applied Dynamical Systems, 2005
The author presents a new method for detecting symmetric homoclinic and heteroclinic solutions in systems possessing the reversing symmetry property. The approach is based on the modification of Zgliczyński's covering relations method. It should be emphasized that this new method can be applied also to the case of heteroclinic orbits between objects of
openaire   +2 more sources

KPP Dynamics in Predator–Prey Models: A Survey and a Mussel–Algae Case Study

Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.
ABSTRACT We discuss traveling fronts in several coupled reaction–diffusion systems that model predator–prey interactions, as well as other systems that share similar structural features. We review some cases where the traveling fronts exist and are small perturbations of fronts in certain scalar equations of Fisher–KPP or Burgers–FKPP type.
Anna Ghazaryan, Vahagn Manukian
wiley   +1 more source