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A Dynamical Systems View of Psychiatric Disorders-Theory: A Review.
JAMA psychiatryImportance Psychiatric disorders may come and go with symptoms changing over a lifetime. This suggests the need for a paradigm shift in diagnosis and treatment. Here we present a fresh look inspired by dynamical systems theory. This theory is used widely
Marten Scheffer +12 more
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Landscape and flux theory of non-equilibrium dynamical systems with application to biology
Advances in Physics, 2015Jin Wang
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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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Nonlinear dynamical systems for theory and research in ergonomics
Ergonomics, 2017Nonlinear dynamical systems (NDS) theory offers new constructs, methods and explanations for phenomena that have in turn produced new paradigms of thinking within several disciplines of the behavioural sciences.
S. Guastello
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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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