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The Multiplicity of Multistabilities: Turning Multistability into a Multistable Concept
2020The concept of multistability is pertinent today in our technology-intensive world for its ability to indicate how a given technology has different meanings to different people at different times. In this chapter I claim that multistability should be subjected to its own principles, and hence it should acquire the plural form of multistabilities.
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Multistability in the corticothalamic system
Journal of Theoretical Biology, 2017Neural field theory of the corticothalamic system is used to analyze the properties of its steady-state solutions, including their linear stability, in the parameter space of synaptic couplings for physiological parameter ranges representing normal arousal waking states in adult humans. The independent connections of the corticothalamic model define an
Sanz-Leon, Paula, Robinson, P. A.
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Multistability and the control of complexity
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1997We show how multistability arises in nonlinear dynamics and discuss the properties of such a behavior. In particular, we show that most attractors are periodic in multistable systems, meaning that chaotic attractors are rare in such systems. After arguing that multistable systems have the general traits expected from a complex system, we pass to ...
Feudel, Ulrike, Grebogi, Celso
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Reliability Analysis for Multistate Systems with Multistate Components
IIE Transactions, 1983Abstract An important problem in reliability theory is to determine the reliability of a complex system given the reliabilities of its components. In real life, the system and its components can be found in a range of states varying from perfect functioning through various levels of performance degradation to complete failure.
Joseph C. Hudson, Kailash C. Kapur
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Reliability Evaluation of Multistate Systems with Multistate Components
IEEE Transactions on Reliability, 1985This paper presents two efficient algorithms for reliability evaluation of monotone multistate systems with s-independent multistate components. The algorithms are based on the decomposition method of \textit{P. Doulliez} and \textit{J. Jamoulle} [RAIRO, Rech. Oper. 3, 45-60 (1972)].
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SYNCHRONIZATION OF MULTISTABLE SYSTEMS
International Journal of Bifurcation and Chaos, 2008We present the detailed study of synchronization of two unidirectionally coupled identical systems with coexisting chaotic attractors and analyze system dynamics observed on the route from asynchronous behavior to complete synchronization when the coupling strength is increased.
Alexander N. Pisarchik +2 more
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Extreme multistability: Attractor manipulation and robustness
Chaos, 2015 The coexistence of infinitely many attractors is called extreme multistability in dynamical systems. In coupled systems, this phenomenon is closely related to partial synchrony and characterized by the emergence of a conserved quantity.
Chittaranjan Hens +2 more
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Stereodynamics of multistate roaming
Physical Chemistry Chemical Physics, 2012We present a molecular level description of NO3→ NO + O2 photodissociation for both of the experimentally observed reaction pathways using the results of ion imaging experiments and recent theoretical studies. Vector correlation and Λ doublet propensity measurements have been performed on state-selected NO fragments in order to further characterize the
Grubb, Michael P +2 more
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On Multistate Coherent Systems
IEEE Transactions on Reliability, 1984Recently, several authors have treated multistate systems and given some results. This paper summarizes the several concepts of s-coherency and shows the relationships between them. An interesting theorem for the existence of series and parallel coherent systems is presented.
Ohi, Fumio, Nishida, Toshio
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Reliability theory for multistate systems with multistate components
Microelectronics Reliability, 1982Abstract An important problem in reliability theory is to determine the reliability of a complex system given the reliabilities of its components. In real life the system and its components are capable of being in a whole range of states, varying from a perfect functioning state to states related to various levels of performance degradation to ...
Joseph C Hudson, Kailash C Kapur
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