Results 11 to 20 of about 2,745 (110)
Impulsive perturbations to differential equations: stable/unstable pseudo-manifolds, heteroclinic connections, and flux [PDF]
State-dependent time-impulsive perturbations to a two-dimensional autonomous flow with stable and unstable manifolds are analysed by posing in terms of an integral equation which is valid in both forwards- and backwards-time.
Balasuriya, Sanjeeva
core +2 more sources
Chaotic Weak Chimeras and their Persistence in Coupled Populations of Phase Oscillators
Nontrivial collective behavior may emerge from the interactive dynamics of many oscillatory units. Chimera states are chaotic patterns of spatially localized coherent and incoherent oscillations.
Ashwin, Peter, Bick, Christian
core +1 more source
Trajectory and global attractors for generalized processes [PDF]
In this work the theory of generalized processes is used to describe the dynamics of a nonautonomous multivalued problem and, through this approach, some conditions for the existence of trajectory attractors are proved.
Caraballo Garrido, Tomás +3 more
core +1 more source
Nonuniform Dichotomy Spectrum and Normal Forms for Nonautonomous Differential Systems [PDF]
The aim of this paper is to study the normal forms of nonautonomous differential systems. For doing so, we first investigate the nonuniform dichotomy spectrum of the linear evolution operators that admit a nonuniform exponential dichotomy, where the ...
Zhang, Xiang
core
Characterization of Turing diffusion-driven instability on evolving domains [PDF]
In this paper we establish a general theoretical framework for Turing diffusion-driven instability for reaction-diffusion systems on time-dependent evolving domains.
A. Gierer +43 more
core +1 more source
Abstract The application of automated ground vehicles (AGVs) is well‐established in closed environments such as port terminals, while their operation in open areas remains challenging. In this work, we set out to overcome this limitation by introducing platooning as a transfer mode in heterogeneous vehicle networks.
Nadia Pourmohammad‐Zia +2 more
wiley +1 more source
Connecting orbits for a singular nonautonomous real Ginzburg-Landau type equation
We propose a method for computation of stable and unstable sets associated to hyperbolic equilibria of nonautonomous ODEs and for computation of specific type of connecting orbits in nonautonomous singular ODEs.
Wilczak, Daniel, Zgliczyński, Piotr
core +1 more source
Attractors for processes on time-dependent spaces. Applications to wave equations [PDF]
For a process U(t,s) acting on a one-parameter family of normed spaces, we present a notion of time-dependent attractor based only on the minimality with respect to the pullback attraction property. Such an attractor is shown to be invariant whenever the
Conti, Monica +2 more
core +1 more source
Multiple front and pulse solutions in spatially periodic systems
Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
wiley +1 more source
Abstract Cupuassu (Theobroma grandiflorum) is a fruit tree native to the Brazilian Amazon and increasingly relevant to regional bioeconomies. Its cultivation is severely affected by witches’ broom disease (WBD), caused by Moniliophthora perniciosa. While a chromosome‐scale genome of the susceptible genotype C1074 is available, the lack of a resistant ...
Vinicius A. C. de Abreu +8 more
wiley +1 more source

