Modeling Landforms as Self-Organized, Hierarchical Dynamical Systems

2013 ◽  
pp. 133-150 ◽  
Author(s):  
B.T. Werner
Keyword(s):  
Dynamical Systems ◽  
Self Organized

scholarly journals Self-Organized Criticality and Standard Model Parameters

2020 ◽  
Author(s):  
Ervin Goldfain
Keyword(s):  
Dynamical Systems ◽  
Standard Model ◽  
Metastable States ◽  
Model Parameters ◽  
Complex Behavior ◽  
Mixing Angles ◽  
Universal Scaling ◽  
Self Organized ◽  
Self Organized Criticality

As paradigm of complex behavior, Self-organized Criticality (SOC) reflects the ability of nonequilibrium dynamical systems to self-adjust into metastable states that are scale independent. The goal of this report is to tentatively show that the hierarchy of Standard Model masses and mixing angles follows from the universal scaling attributes of SOC.

scholarly journals Self-organized stochastic tipping in slow-fast dynamical systems

2013 ◽  
Vol 1 (2) ◽  
pp. 129-147 ◽  
Author(s):  
Mathias Linkerhand ◽  
Claudius Gros
Keyword(s):  
Dynamical Systems ◽  
Self Organized

scholarly journals Anomalous supply shortages from dynamic pricing in on-demand mobility

2020 ◽  
Vol 11 (1) ◽  
Author(s):  
Malte Schröder ◽  
David-Maximilian Storch ◽  
Philip Marszal ◽  
Marc Timme
Keyword(s):  
Game Theory ◽  
Phase Diagram ◽  
Time Series ◽  
Dynamical Systems ◽  
Dynamic Pricing ◽  
Apparent Contradiction ◽  
Demand And Supply ◽  
On Demand ◽  
Self Organized ◽  
Pricing Schemes

Abstract Dynamic pricing schemes are increasingly employed across industries to maintain a self-organized balance of demand and supply. However, throughout complex dynamical systems, unintended collective states exist that may compromise their function. Here we reveal how dynamic pricing may induce demand-supply imbalances instead of preventing them. Combining game theory and time series analysis of dynamic pricing data from on-demand ride-hailing services, we explain this apparent contradiction. We derive a phase diagram demonstrating how and under which conditions dynamic pricing incentivizes collective action of ride-hailing drivers to induce anomalous supply shortages. We identify characteristic patterns in the price dynamics reflecting these supply anomalies by disentangling different timescales in price time series of ride-hailing services at 137 locations across the globe. Our results provide systemic insights for the regulation of dynamic pricing, in particular in publicly accessible mobility systems, by unraveling under which conditions dynamic pricing schemes promote anomalous supply shortages.

scholarly journals A NEW TYPE OF SELF-ORGANIZATION ASSOCIATED WITH CHAOTIC DYNAMICS IN NEURAL NETWORKS

1996 ◽  
Vol 07 (04) ◽  
pp. 451-459 ◽  
Author(s):  
I. TSUDA
Keyword(s):  
Neural Networks ◽  
Dynamical Systems ◽  
Chaotic Dynamics ◽  
Complex Dynamics ◽  
The Other ◽  
Self Organization ◽  
High Dimensional ◽  
Self Organized ◽  
New Type ◽  
Contraction Dynamics

A new type of self-organized dynamics is presented, in relation with chaos in neural networks. One is chaotic itinerancy and the other is chaos-driven contraction dynamics. The former is addressed as a universal behavior in high-dimensional dynamical systems. In particular, it can be viewed as one possible form of memory dynamics in brain. The latter gives rise to singular-continuous nowhere-differentiable attractors. These dynamics can be related to each other in the context of dimensionality and of chaotic information processings. Possible roles of these complex dynamics in brain are also discussed.

scholarly journals ON SELF-ORGANIZED CRITICALITY AND SYNCHRONIZATION IN LATTICE MODELS OF COUPLED DYNAMICAL SYSTEMS

1996 ◽  
Vol 10 (10) ◽  
pp. 1111-1151 ◽  
Author(s):  
CONRAD J. PÉREZ ◽  
ÁLVARO CORRAL ◽  
ALBERT DÍAZ-GUILERA ◽  
KIM CHRISTENSEN ◽  
ALEX ARENAS
Keyword(s):  
Dynamical Systems ◽  
Critical Phenomena ◽  
Collective Behavior ◽  
Phase Locking ◽  
Lattice Models ◽  
Stick Slip ◽  
Integrate And Fire ◽  
Self Organized ◽  
Self Organized Criticality ◽  
The Individual

Lattice models of coupled dynamical systems lead to a variety of complex behaviors. Between the individual motion of independent units and the collective behavior of members of a population evolving synchronously, there exist more complicated attractors. In some cases, these states are identified with self-organized critical phenomena. In other situations, they are identified with clusterization or phase-locking. The conditions leading to such different behaviors in models of integrate-and-fire oscillators and stick-slip processes are reviewed.

scholarly journals Dynamical systems of self-organized segregation

2021 ◽  
Author(s):  
Heinz Hanßmann ◽  
Angelina Momin
Keyword(s):  
Dynamical System ◽  
Dynamical Systems ◽  
Major Error ◽  
Bifurcation Set ◽  
Stable Integration ◽  
Self Organized ◽  
A Minor

We re-consider Schelling’s (1971) bounded neighbourhood model as put into the form of a dynamical system by Haw and Hogan (2018). In the case of a single neighbourhood we explain the occurring bifurcation set, thereby correcting a minor scaling error. In the case of two neighbourhoods we correct a major error and derive a dynamical system that does satisfy the modeling assumptions made by Haw and Hogan (2020), staying as close as possible to their construction. We find that stable integration then is only possible if the populations in the two neighbourhoods have the option to be in neither neighbourhood. In the absence of direct movement between the neighbourhoods the problem is furthermore equivalent to independent single neighbourhood problems.

scholarly journals Criticality or Supersymmetry Breaking?

Symmetry ◽  
2020 ◽  
Vol 12 (5) ◽  
pp. 805
Author(s):  
Igor V. Ovchinnikov ◽  
Wenyuan Li ◽  
Yuquan Sun ◽  
Andrew E. Hudson ◽  
Karlheinz Meier ◽  
...  
Keyword(s):  
Dynamical Systems ◽  
Chaotic Behavior ◽  
Power Spectra ◽  
Stochastic Dynamical Systems ◽  
Scale Free ◽  
Self Organized ◽  
Neuromorphic Hardware ◽  
1D Chain ◽  
Self Organized Criticality ◽  
Type Power

In many stochastic dynamical systems, ordinary chaotic behavior is preceded by a full-dimensional phase that exhibits 1/f-type power spectra and/or scale-free statistics of (anti)instantons such as neuroavalanches, earthquakes, etc. In contrast with the phenomenological concept of self-organized criticality, the recently found approximation-free supersymmetric theory of stochastics (STS) identifies this phase as the noise-induced chaos (N-phase), i.e., the phase where the topological supersymmetry pertaining to all stochastic dynamical systems is broken spontaneously by the condensation of the noise-induced (anti)instantons. Here, we support this picture in the context of neurodynamics. We study a 1D chain of neuron-like elements and find that the dynamics in the N-phase is indeed featured by positive stochastic Lyapunov exponents and dominated by (anti)instantonic processes of (creation) annihilation of kinks and antikinks, which can be viewed as predecessors of boundaries of neuroavalanches. We also construct the phase diagram of emulated stochastic neurodynamics on Spikey neuromorphic hardware and demonstrate that the width of the N-phase vanishes in the deterministic limit in accordance with STS. As a first result of the application of STS to neurodynamics comes the conclusion that a conscious brain can reside only in the N-phase.

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