Results 61 to 70 of about 1,118,392 (164)

Heteroclinic cycles in lattice dynamical systems

, 1998
A criterion of spatial chaos occurring in lattice dynamical systems-heteroclinic cycle-is discussed. It is proved that if the system has asymptotically stable heteroclinic cycle, then it has asymptotically stable homoclinic point which implies spatial ...
秦文新, 钱敏
core   +2 more sources

A cell complex structure for the space of heteroclines for a semilinear parabolic equation

Electronic Journal of Differential Equations, 2009
It is well known that for many semilinear parabolic equations there is a global attractor which has a cell complex structure with finite dimensional cells.
Michael Robinson
doaj  

Pattern Formation and Nonlinear Waves Close to a 1:1 Resonant Turing and Turing–Hopf Instability

Studies in Applied Mathematics, Volume 155, Issue 5, November 2025.
ABSTRACT In this paper, we analyze the dynamics of a pattern‐forming system close to simultaneous Turing and Turing–Hopf instabilities, which have a 1:1 spatial resonance, that is, they have the same critical wave number. For this, we consider a system of coupled Swift–Hohenberg equations with dispersive terms and general, smooth nonlinearities.
Bastian Hilder, Christian Kuehn
wiley   +1 more source

The Existence of Moving Spike Patterns in an Attractive Chemotaxis Model

Mathematical Methods in the Applied Sciences, Volume 48, Issue 14, Page 13505-13516, 30 September 2025.
ABSTRACT We prove rigorously the existence of moving spike patterns in an attractive chemotaxis model with small diffusion coefficient for the chemical. In the zero diffusion limit, ϵ→0$$ \epsilon \to 0 $$, we prove that the non‐monotone traveling wave solutions of the system with ϵ>0$$ \epsilon >0 $$ converge to those of the system with ϵ=0$$ \epsilon
Tong Li, Casey Stone
wiley   +1 more source

Closed geodesics and the first Betti number

Proceedings of the London Mathematical Society, Volume 131, Issue 3, September 2025.
Abstract We prove that, on any closed manifold of dimension at least two with non‐zero first Betti number, a C∞$C^\infty$ generic Riemannian metric has infinitely many closed geodesics, and indeed closed geodesics of arbitrarily large length. We derive this existence result combining a theorem of Mañé together with the following new theorem of ...
Gonzalo Contreras, Marco Mazzucchelli
wiley   +1 more source

Regime Transitions and Heteroclinic Connections in a Barotropic Atmosphere

Journal of the Atmospheric Sciences, 2003
By interpreting transitions between atmospheric flow regimes as a deterministic rather than a stochastic phenomenon, new insight is gained into the phase-space characteristics of these transitions. The identification of regimes with steady states should be extended with the association of transitions with nearby heteroclinic connections between steady ...
openaire   +1 more source

Nonlocal Cooperative Behavior, Psychological Effects, and Collective Decision‐Making: An Exemplification With Predator–Prey Models

Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12011-12037, August 2025.
ABSTRACT In bio‐social models, cooperative behavior has evolved as an adaptive strategy, playing multi‐functional roles. One of such roles in populations is to increase the success of the survival and reproduction of individuals and their families or social groups.
Sangeeta Saha, Swadesh Pal, Roderick Melnik   +2 more
wiley   +1 more source

Heterogeneously Structured Compartmental Models of Epidemiological Systems: From Individual‐Level Processes to Population‐Scale Dynamics

Studies in Applied Mathematics, Volume 155, Issue 2, August 2025.
ABSTRACT We develop a general modeling framework for compartmental epidemiological systems structured by continuous variables which are linked to the levels of expression of compartment‐specific traits. We start by formulating an individual‐based model that describes the dynamics of single individuals in terms of stochastic processes. Then, we formally
Emanuele Bernardi, Tommaso Lorenzi, Mattia Sensi, Andrea Tosin   +3 more
wiley   +1 more source

Reconfiguring smart structures using phase space connections [PDF]

, 2008
Structures are traditionally designed to be stable. However, unstable configurations (such as buckling) can in principle be controlled in smart structures using embedded sensors and actuators.
Waters, T.J., McInnes, C.R.
core   +1 more source

World War exhibit at Ohio State Museum

, 1940
This photograph shows the "Ohio in the Wars" room at the Ohio State Museum. Seen browsing the exhibit are Dr. William Overman, Curator of History, and Miss Mary Poster, a member of the museum staff.
Ohio History Connection
core