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On the Theory of Synchronization of Dynamical Systems
Differential Equations, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shchennikov, A. V., Shchennikov, V. N.
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Dynamical systems and theory of numbers
Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi, 1997Summary: We study dynamical systems in non-Archimedean number fields (i.e., fields with non-Archimedean valuations). The main results are obtained for the fields of \(p\)-adic numbers and complex \(p\)-adic numbers. Already, the simplest \(p\)-adic dynamical systems have very rich structure. There exist attractors, Siegel disks, cycles.
Stany de, Smedt, Andrei, Khrennikov
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Dynamic Systems Theory Approach to Consciousness
International Journal of Neuroscience, 2000The review of the main existing approaches to consciousness in the literature indicates that consciousness is multileveled and that humans have an ability to experience a wide range of its various states. The common views of the main approaches to consciousness are identified and considered in a three-dimensional model of states of consciousness ...
Bielecki, A +2 more
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Spectral Theory of Dynamical Systems
1987In this chapter, we deal with dynamical systems to which we apply the foregoing results. In particular, we give a spectral characterization of the differentmixing properties (weak, mild, strong). All the results are well-known, and we omit the classical proofs for which we refer to [61,93,111,139,145,151,193,197,200,241] or others.
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Dynamical Systems Theory of Irreversibility
2005Recent work on the connections between dynamical systems theory and nonequilibrium statistical mechanics is reviewed with emphasis on results which are compatible with Liouville’s theorem. Starting from a general discussion of time-reversal symmetry in the Newtonian scheme, it is shown that the Liouvillian eigenstates associated with the Pollicott ...
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Theory of dynamic similarity in neuronal systems
Journal of Neurophysiology, 19881. The techniques of dynamic similarity from the engineering science of fluid mechanics are applied to neuronal systems to suggest how to scale down critical parameters (such as numbers of constituent cells and synapses, synaptic strengths, thresholds, etc.) from naturally occurring systems to computer models. 2.
R J, MacGregor, G, Tajchman
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On a Dynamic Theory of Quenched Random System
Communications in Theoretical Physics, 1983A dynamical theory for quenched random system is developed in the framework of CTPGF. In steady states the results obtained coincide with Chose following from the quenched average of the free energy. The order parameter , a matrix in general, becomes an integral part of the second order connected CTPGF.
Zhao-bing SU, Lu YU, Guang-zhao ZHOU
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The Theory of Dynamical Systems
1990Our aim in this chapter is to expound those aspects of the theory of dynamical systems which shall be most relevant to our later investigations. Our approach will be discursive in that we shall try to paint a broad brush picture of the concepts and techniques of the modern qualitative geometric view of the theory of dynamical systems.
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Dynamic Systems Theory and Sociocultural Theory
Language and Sociocultural Theory, 2016Both Dynamic Systems Theory and Sociocultural Theory consider second language development to be complex and dynamic, taking place through change across time. However, each has a different theoretical/methodological perspective, the former focusing on this process primarily as interconnected self-organizing systems and the latter as tied to the ...
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