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Simple Local Models for Complex Dynamical Systems
2008
Neural Information Processing Systems
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We present a novel mathematical formalism for the idea of a "local model" of an uncontrolled dynamical system, a model that makes only certain predictions in only certain situations. ...
As a result of its restricted responsibilities, a local model may be far simpler than a complete model of the system. ...
Automatically splitting a system into simple local models is an interesting, challenging problem, and ripe ground for future research. ...
dblp:conf/nips/TalvitieS08
fatcat:fyao7syksvaydbcytxv5nmeub4
Global models of dynamic complex systems - modelling using the multilayer neural networks
2007
Annales UMCS Informatica
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Computer simulations were performed for the dynamic complex system, which consists of two dynamic nonlinear simple plants connected in series, described by means of nonlinear difference equations. ...
To model dynamic simple plants, of which the complex system is composed, a series-parallel model of identification using the feedforward network with the tapped delay line (TDL) and the feedback loops, ...
The global model of the dynamic complex system (GM) The dynamic complex system can consist of R simple plants. ...
dblp:journals/umcs/Dralus07
fatcat:fatvfpaevjfpvcviytquih4c34
Ecological Systems as Complex Systems: Challenges for an Emerging Science
2010
Diversity
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This has been achieved through the use of simple measures that can capture the difference between order and disorder and simple models with local interactions that can generate surprising behaviour at ...
Further advances in these areas will be necessary before complex systems science can be widely applied to understand the dynamics of ecological systems. ...
The authors thank Andrea Belgrano, Bai-Lian Li, the late Erik Rauch and David Schneider for also presenting papers in the session and earlier discussions. ...
doi:10.3390/d2030395
fatcat:flgklf7ir5etbd5kux36feipim
A New Kind of Ecology?
2004
BioScience
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Mathematical models have a long history of use for understanding ecological systems. ...
In a recent book, A New Kind of Science, Steve Wolfram calls into question traditional modeling approaches and calls for the increased application of cellular automata (CA) models in all areas of scientific ...
Support for this research was provided by the Department of Energy to J. M. and by National Science Foundation grant NSF-DEB-0049080 to J. D. B. ...
doi:10.1641/0006-3568(2004)054[0440:ankoe]2.0.co;2
fatcat:2qnhacgfkvde3pzsq4sr4jmtyu
Self-organization in a model of economic system with scale invariant interactions
2001
Physica A: Statistical Mechanics and its Applications
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The method of constructing the local scale invariant stochastic models is proposed. The possible extension of minimal scale-invariant interaction principle for stochastic systems is formulated. ...
A simple scale invariant model that possesses an economical interpretation is considered. Essential characteristics of its self-organization mechanisms are discussed. ...
There are reasons to suppose that it can be used for the construction of the models of basic self-organization mechanisms of complex adaptive natural system [2] [3] [4] [5] and particularly for modeling ...
doi:10.1016/s0378-4371(01)00311-9
fatcat:iirmwx6stjabdjagqzihinmqle
The geometry of chaotic dynamics — a complex network perspective
2011
European Physical Journal B : Condensed Matter Physics
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Rigorous analytical as well as numerical results for self-similar sets and simple chaotic model systems suggest that these measures are well-behaved in most non-pathological situations and that they can ...
Recently, several complex network approaches to time series analysis have been developed and applied to study a wide range of model systems as well as real-world data, e.g., geophysical or financial time ...
Rigorous analytical as well as numerical results for self-similar sets and simple chaotic model systems suggest that these measures are well-behaved in most non-pathological situations and that they can ...
doi:10.1140/epjb/e2011-10899-1
fatcat:37ghmwcfhnb3jh22slyb2upwxe
Complexity in Natural Landform Patterns
1999
Science
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An alternative modeling methodology based on the tendency of natural systems to self-organize in temporal hierarchies is described. ...
Existing approaches to modeling natural landform patterns, reductionism and universality, are incompatible with the nonlinear, open nature of natural systems. ...
Many models for complex systems are simple and universalist. The advantage of these simple models is that it is often straightforward to understand how they work. ...
doi:10.1126/science.284.5411.102
pmid:10102803
fatcat:lhp5xakwffgrtcmtlnsiysfuga
Arm splitting and backfiring of spiral waves in media displaying local mixed-mode oscillations
2009
Chaos
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The behavior of spiral waves is investigated in a model of reaction-diffusion media supporting local mixed-mode oscillations for a range of values of a control parameter. ...
In many systems, simple spirals evolve into more complex structures, and several scenarios have been identified by which this process can take place. ...
homogeneous systems: simple spiral waves with simple local dynamics can evolve to complex spiral waves with quasiperiodic local dynamics and then to spiral turbulence 13, 25 or can proceed via period-doubling ...
doi:10.1063/1.3093047
pmid:19334999
fatcat:zo5k5dl7n5abngec3viwkb35yq
Linked and fully coupled 3D earthquake dynamic rupture and tsunami modeling for the Húsavík–Flatey Fault Zone in North Iceland
2024
Solid Earth
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Earthquake dynamic rupture scenarios on a less segmented fault system, particularly with a hypocenter location in the eastern part of the fault system, have a larger potential for local tsunami generation ...
The six dynamic rupture models sourcing our tsunami scenarios vary regarding hypocenter location, spatiotemporal evolution, fault slip, and fault structure complexity but coincide with historical earthquake ...
We thank Lukas Krenz, Lauren Abrahams, and Eric Dunham for invaluable discussions and their contributions to the 3D fully coupled earthquake-tsunami modeling capabilities in SeisSol. ...
doi:10.5194/se-15-251-2024
fatcat:rk5c3it2orb3jgwcfhrhtjlczi
Computational Ecology: From the Complex to the Simple and Back
2005
PLoS Computational Biology
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Citation: Pascual M (2005) Computational ecology: From the complex to the simple and back. PLoS Comp Biol 1(2): e18. ...
Today, in the era of computational ecological modeling, deterministic systems for two variables-and even a whole food chain-appear like simple idealizations well removed from the complexity of nature. ...
under the complex, then the complex under the simple, then again the simple under the complex, and so on, without being able to predict which state would ultimately prevail'' [51] . & Figure 2 . 2 Bridging ...
doi:10.1371/journal.pcbi.0010018
pmid:16110332
pmcid:PMC1185644
fatcat:zmiw6nudh5aczds3ts7skcxsua
General considerations
[chapter]
2016
Mechatronics: Dynamical systems approach and theory of holors
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Thus, a physical heterogeneous continuous complex and/or simple dynamical hypersystem means a grouping of various dynamical systems, hyposystems and components that operate together for a common purpose ...
Complex and/or simple dynamical hypersystems are disjointed compilations that deal with all of nature, but the dynamical systems approach is invented from complex things and the simple mechanisms are imagined ...
doi:10.1088/978-0-7503-1350-6ch1
fatcat:ezoa2iyz7vgn7e7czxbmbekcui
From homeostasis to behavior: Balanced activity in an exploration of embodied dynamic environmental-neural interaction
2017
PLoS Computational Biology
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Here, we describe a simple model of spontaneous neural dynamics that controls an agent moving in a simple virtual environment. ...
These findings suggest novel functional roles for homeostatic systems in maintaining neural dynamics PLOS Computational Biology | https://doi. ...
Acknowledgments Special thanks go to Eva Papaeliopoulos for getting us started in making computer games.
Author Contributions Conceptualization: Peter John Hellyer, Federico E. ...
doi:10.1371/journal.pcbi.1005721
pmid:28837556
pmcid:PMC5587328
fatcat:azzu4k23vfcprcyvtx434v4hym
Emergent computation in simple model of neural activity
[article]
2019
arXiv
pre-print
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2016 pre-print arXiv:1609.02893v1 fatcat:prm6y7x72zcibpzr5q4htafibe
For wide ranges of the network parameters, the patterns of activity resemble the dynamics of cellular automata. ...
It is argued that these dynamical states may provide a template in which computation can be implemented. ...
CONCLUSIONS The purpose of this article is to present a simple model of neural dynamics which displays complex emergent features. ...
arXiv:1609.02893v2
fatcat:xkcct5xl7rehblhmdm2s7o67ba
Generative Network Automata: A Generalized Framework for Modeling Complex Dynamical Systems with Autonomously Varying Topologies
2007
2007 IEEE Symposium on Artificial Life
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GNA is formulated as an extension of existing complex dynamical network models to include a new set of generative update rules that determine how local network topologies will change based on the current ...
This paper introduces basic concepts of GNA, its formal definitions, its generality to represent other dynamical systems models, and some preliminary results of an exhaustive sweep of possible dynamics ...
We aim to address the above-mentioned lack of fundamental theories for modeling complex systems by extending existing complex dynamical network models to include a new set of generative update rules that ...
doi:10.1109/alife.2007.367799
dblp:conf/ieeealife/Sayama07
fatcat:wswvczjecbbffdnsmtgqbrwcty
The dark side of theoretical ecology
[article]
2014
bioRxiv
pre-print
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do not use simple and long-known pure logical deterministic cellular automata, which easily can produce white-box models and directly generate clear mechanistic insights into dynamics of complex systems ...
To create a mechanistic model of a complex dynamic system we need to logically describe interactions of its subsystems which lead to emergence of new properties on the macro-level. ...
Kalmykov for useful discussions and suggestions. I thank Kylla M. Benes for helpful suggestions and edits. ...
doi:10.1101/008813
fatcat:f3s42rip6jagxcttggx6ul6wka
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