Results 211 to 220 of about 39,509 (252)
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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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Homogeneous dynamical systems theory
IEEE Transactions on Automatic Control, 2002We study controlled homogeneous dynamical systems and derive conditions under which the system is perspective controllable. We also derive conditions under which the system is observable in the presence of a control over the complex base field. In the absence of any control input, we derive a necessary and sufficient condition for observability of a ...
Bijoy K. Ghosh, Clyde F. Martin
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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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Dynamical systems theory for the Gardner equation
Physical Review E, 2014The Gardner equation u(t) + auu(x) + bu(2)u(x)+μu(xxx) = 0 is a generic mathematical model for weakly nonlinear and weakly dispersive wave propagation when the effects of higher-order nonlinearity become significant. Using the so-called traveling wave ansatz u(x,t) = φ(ξ), ξ = x-vt (where v is the velocity of the wave) we convert the (1+1)-dimensional ...
Aparna, Saha +2 more
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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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The Theory of Dynamical Systems
2003We shall begin by presenting a brief review of the qualitative theory of ODE [169, 181, 182, 373] , with particular emphasis on those aspects of the non-linear theory of importance in cosmology.
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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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