A topological approach to the Arrow impossibility theorem when individual preferences are weak orders (forcoming in ``Applied Mathematics and Compuation''(Elsevier)) [PDF]
We will present a topological approach to the Arrow impossibility theorem of social choice theory that there exists no binary social choice rule (which we will call a social welfare function) which satisfies the conditions of transitivity, independence ...
Yasuhito Tanaka
core
Dynamic Reconfiguration of Functional Topology in Human Brain Networks: From Resting to Task States
Neural Plasticity, 2020 Task demands evoke an intrinsic functional network and flexibly engage multiple distributed networks. However, it is unclear how functional topologies dynamically reconfigure during task performance. Here, we selected the resting- and task-state (emotion
Wenhai Zhang +3 more
doaj +1 more source
General equilibrium analysis in ordered topological vector spaces [PDF]
The second welfare theorem and the core-equivalence theorem have been proved to be fundamental tools for obtaining equilibrium existence theorems, especially in an infinite dimensional setting.
Monique Florenzano +2 more
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An Improved Chaotic Motion Path Planner for Autonomous Mobile Robots Based on a Logistic Map
International Journal of Advanced Robotic Systems, 2013 This paper presents a chaotic motion path planner based on a Logistic Map (SCLCP) for an autonomous mobile robot to cover an unknown terrain randomly, namely entirely, unpredictably and evenly.
Caihong Li +4 more
doaj +1 more source
From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9696-9708, June 2026.ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
wiley +1 more source
Ergodicity, transitivity, and regularity for linear cellular automata over Zm
, 2000 We study the dynamical behavior of D-dimensional linear cellular automata over Zm. We provide an easy-to-check necessary and sufficient condition for a D-dimensional linear cellular automata over Zm to be ergodic and topologically transitive.
E. FORMENTI +10 more
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, 2023 An important and interesting phenomenon of the last few decades is the increasing number of mathematical studies of so-called intransitive dice with non-standard numbers on their faces and the popularization of them. The dice beat one another like in the
Poddiakov, Alexander
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Characterizing mixing, weak mixing and transitivity of induced hyperspace dynamical systems
, 2007 Hyperspace dynamical system (2E,2f) induced by a given dynamical system (E,f) has been recently investigated regarding topological mixing, weak mixing and transitivity that characterize orbit structure.
Guo Wei +3 more
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The Mañé–Conze–Guivarc'h lemma for intermittent maps of the circle [PDF]
, 2009 We study the existence of solutions g to the functional inequality f≤g T−g+β, where f is a prescribed continuous function, T is a weakly expanding transformation of the circle having an indifferent fixed point, and β is the maximum ergodic average of f ...
Morris, Ian D.
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Dynamics on Binary Relations over Topological Spaces [PDF]
, 2018 The existence of chaos and the quest of dense orbits have been recently considered for dynamical systems given by multivalued linear operators. We consider the notions of topological transitivity, topologically mixing property, hypercyclicity, periodic
Murillo-Arcila, Marina +10 more
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