Results 231 to 240 of about 534,870 (272)

Homogeneous dynamical systems theory

IEEE Transactions on Automatic Control, 2002
We 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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Dynamic Systems Theory Approach to Consciousness

International Journal of Neuroscience, 2000
The 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 ...
A, Bielecki, A, Kokoszka, P, Holas
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Spectral Theory of Dynamical Systems

1987
In 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

2005
Recent 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, 2014
The 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, B, Talukdar, Supriya, Chatterjee   +2 more
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Theory of dynamic similarity in neuronal systems

Journal of Neurophysiology, 1988
1. 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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The Theory of Dynamical Systems

2003
We 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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The Theory of Dynamical Systems

1990
Our 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, 2016
Both 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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"Evolution of fuzzy systems and dynamics theory"

2002 IEEE World Congress on Computational Intelligence. 2002 IEEE International Conference on Fuzzy Systems. FUZZ-IEEE'02. Proceedings (Cat. No.02CH37291), 2003
There are a few equations in theoretical physics, which in a slightly different modification cover dynamic problems of most physical systems. Moreover, in a mystical way, the same types of equations appear in completely "non-physical" areas like finance (Black-Scholes equation), political science (voting theory), ecology (population dynamics), etc.
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