Results 11 to 20 of about 14,181 (315)
Van der Pol Equation with a Large Feedback Delay
Mathematics, 2023 The well-known Van der Pol equation with delayed feedback is considered. It is assumed that the delay factor is large enough. In the study of the dynamics, the critical cases in the problem of the stability of the zero equilibrium state are identified ...
Sergey Kashchenko
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Nonlinear Schrödinger type tetrahedron maps
Nuclear Physics B, 2020 This paper is concerned with the construction of new solutions in terms of birational maps to the functional tetrahedron equation and parametric tetrahedron equation.
S. Konstantinou-Rizos
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Quasinormal Forms for Chains of Coupled Logistic Equations with Delay
Mathematics, 2022 In this paper, chains of coupled logistic equations with delay are considered, and the local dynamics of these chains is investigated. A basic assumption is that the number of elements in the chain is large enough.
Sergey Kashchenko
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A List of 1 + 1 Dimensional Integrable Equations and Their Properties [PDF]
, 2001 This paper contains a list of known integrable systems. It gives their recursion-, Hamiltonian-, symplectic- and cosymplectic operator, roots of their symmetries and their scaling ...
Jing Ping Wang, Wang, Jing Ping
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Neural systems integration [PDF]
Neurocomputing, 2004 A need is identified to build models of the central nervous system that are semi-complete, applied within multiple contexts to multiple tasks, using methodologies that span multiple levels of abstraction. The issues and constraints in building such models are discussed with respect to completeness, validation, cost, scalability and robustness.
Michael P. Arnold +3 more
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Discrete integrable systems and Poisson algebras from cluster maps [PDF]
, 2014 We consider nonlinear recurrences generated from cluster mutations applied to quivers that have the property of being cluster mutation-periodic with period 1.
Fordy, AP +3 more
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Asymptotics of Regular and Irregular Solutions in Chains of Coupled van der Pol Equations
Mathematics, 2023 Chains of coupled van der Pol equations are considered. The main assumption that motivates the use of special asymptotic methods is that the number of elements in the chain is sufficiently large.
Sergey Kashchenko
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Infinite Turing Bifurcations in Chains of Van der Pol Systems
Mathematics, 2022 A chain of coupled systems of Van der Pol equations is considered. We study the local dynamics of this chain in the vicinity of the zero equilibrium state.
Sergey Kashchenko
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On the 3D consistency of a Grassmann extended lattice Boussinesq system
Nuclear Physics B, 2020 In this paper, we formulate a “Grassmann extension” scheme for constructing noncommutative (Grassmann) extensions of Yang-Baxter maps together with their associated systems of PΔEs, based on the ideas presented in [15].
Sotiris Konstantinou-Rizos
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QUATERNIONIC INTEGRABLE SYSTEMS [PDF]
Symmetry and Perturbation Theory, 2003 Standard (Arnold-Liouville) integrable systems are intimately related to complex rotations. One can define a generalization of these, sharing many of their properties, where complex rotations are replaced by quaternionic ones. Actually this extension is not limited to the integrable case: one can define a generalization of Hamilton dynamics based on ...
Gaeta, G., Morando, P.
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