scholarly journals A General Spatio-Temporal Clustering-Based Non-Local Formulation for Multiscale Modeling of Compartmentalized Reservoirs

Author(s):  
Soheil Esmaeilzadeh ◽  
Amir Salehi ◽  
Gill Hetz ◽  
Feyisayo Olalotiti-lawal ◽  
Hamed Darabi ◽  
...  
2019 ◽  
Vol 16 (154) ◽  
pp. 20190038 ◽  
Author(s):  
Yasmine Meroz ◽  
Renaud Bastien ◽  
L. Mahadevan

Tropisms, growth-driven responses to environmental stimuli, cause plant organs to respond in space and time and reorient themselves. Classical experiments from nearly a century ago reveal that plant shoots respond to the integrated history of light and gravity stimuli rather than just responding instantaneously. We introduce a temporally non-local response function for the dynamics of shoot growth formulated as an integro-differential equation whose solution allows us to qualitatively reproduce experimental observations associated with intermittent and unsteady stimuli. Furthermore, an analytic solution for the case of a pulse stimulus expresses the response function as a function of experimentally tractable variables, which we calculate for the case of the phototropic response of Arabidopsis hypocotyls. All together, our model enables us to predict tropic responses to time-varying stimuli, manifested in temporal integration phenomena, and sets the stage for the incorporation of additional effects such as multiple stimuli, gravitational sagging, etc.


Author(s):  
D. Nikitin ◽  
I. Omelchenko ◽  
A. Zakharova ◽  
M. Avetyan ◽  
A. L. Fradkov ◽  
...  

We study the spatio-temporal dynamics of a multiplex network of delay-coupled FitzHugh–Nagumo oscillators with non-local and fractal connectivities. Apart from chimera states, a new regime of coexistence of slow and fast oscillations is found. An analytical explanation for the emergence of such coexisting partial synchronization patterns is given. Furthermore, we propose a control scheme for the number of fast and slow neurons in each layer. This article is part of the theme issue ‘Nonlinear dynamics of delay systems’.


Author(s):  
Wanghu Chen ◽  
Yan Sun ◽  
Jing Li ◽  
Chenhan Zhai ◽  
Pengbo Lv ◽  
...  

2012 ◽  
Vol 6 (3) ◽  
pp. e1577 ◽  
Author(s):  
Juliette Paireau ◽  
Florian Girond ◽  
Jean-Marc Collard ◽  
Halima B. Maïnassara ◽  
Jean-François Jusot

Author(s):  
Nuel Belnap ◽  
Thomas Müller ◽  
Tomasz Placek

This book develops a rigorous theory of indeterminism as a local and modal concept. Its crucial insight is that our world contains events or processes with alternative, really possible outcomes. The theory aims at clarifying what this assumption involves, and it does it in two ways. First, it provides a mathematically rigorous framework for local and modal indeterminism. Second, we support that theory by spelling out the philosophically relevant consequences of this formulation and by showing its fruitful applications in metaphysics. To this end, we offer a formal analysis of modal correlations and of causation, which is applicable in indeterministic and non-local contexts as well. We also propose a rigorous theory of objective single-case probabilities, intended to represent degrees of possibility. In a third step, we link our theory to current physics, investigating how local and modal indeterminism relates to issues in the foundations of physics, in particular, quantum non-locality and spatio-temporal relativity. The book also ventures into the philosophy of time, showing how the theory’s resources can be used to explicate the dynamic concept of the past, present, and future based on local indeterminism.


Author(s):  
Wan Fairos Wan Yaacob ◽  
Shahirah Binti Ibrahim ◽  
Ainin Sorfina Afizan ◽  
Nur Azreen Faizul Azran ◽  
Syerina Azlin Md Nasir ◽  
...  

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