Results 261 to 270 of about 81,786 (299)

Iterated Integrals, Gelfand—Leray Residue, and First Return Mapping

Journal of Dynamical and Control Systems, 2006
Recently, one of the authors gave an algorithm for calculating the first nonzero Poincaré-Pontryagin function of a small polynomial perturbation of a polynomial Hamiltonian, under a generic hypothesis. We generalize this algorithm and show that any Poincaré-Pontryagin function of order l, denoted by Ml, can be written as a sum of an iterated integral ...
Françoise, Jean-Pierre, Pelletier, M.
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Linearization and return mapping algorithms for elastoplasticity models

International Journal for Numerical Methods in Engineering, 2003
AbstractThe return mapping algorithm is one of the most efficient procedures to solve elasto‐plastic problems. However, a criticism that may be lodged against this method is the difficulty of the practical computation of the consistent tangent matrix when the return is non‐radial. Much research has been done to handle this matrix.
Asensio, G., Moreno, C.
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A stochastic return map for stochastic differential equations

Journal of Statistical Physics, 1990
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Weiss, Jeffrey B., Knobloch, Edgar
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A return mapping algorithm for plane stress elastoplasticity

International Journal for Numerical Methods in Engineering, 1986
AbstractAn unconditionally stable algorithm for plane stress elastoplasticity is developed, based upon the notion of elastic predictor‐return mapping (plastic corrector). Enforcement of the consistency condition is shown to reduce to the solution of a simple nonlinear equation. Consistent elastoplastic tangent moduli are obtained by exact linearization
Simo, J. C., Taylor, R. L.
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Control Bifurcation Structure of Return Map Control in Chua's Circuit

International Journal of Bifurcation and Chaos, 1997
We demonstrate that return map control and adaptive tracking can be used together to locate, stabilize, and track unstable periodic orbits (UPOs). Through bifurcation studies as a function of some control parameters of return map control, we observe the control bifurcation (CB) phenomenon which exhibits another route to chaos.
Lee, Byoung-Cheon, Lee, Ki-Hak, Wang, Bo-Hyeun   +2 more
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Estimating Lyapunov Exponents from Approximate Return Maps

1989
Phase portrait reconstructions from experimental time series are widely used for the calculation of dimensions, Lyapunov exponents and entropy, all of which can be used to characterise a dynamical system and investigate the effect of varying external parameters (Schuster 1984).
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Return maps of folded nodes and folded saddle-nodes

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2008
Folded nodes occur in generic slow-fast dynamical systems with two slow variables. Open regions of initial conditions flow into a folded node in an open set of such systems, so folded nodes are an important feature of generic slow-fast systems. Twisting and linking of trajectories in the vicinity of a folded node have been studied previously, but their
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Cascaded Return Map Models a Nonperiodically Clocked CPM Boost Converter

Nonlinear Dynamics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Krupar, Jörg, Schwarz, Wolfgang
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Return-Mapping and Consistent Tangent Modulus Tensor

2014
Constitutive equations of irreversible deformation, e.g. elastoplastic, viscoelastic and viscoplastic deformations are described in rate forms in which the stress rate and the strain rate are related to each other through the tangent modulus. Therefore, numerical calculations are executed in their incremental forms by the input of load (stress ...
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The displacement function and the return map

2011
This chapter studies the displacement function dᵧ on X that is associated with a semisimple element γ‎ ∈ G. If φ‎″, t ∈ R denotes the geodesic flow on the total space X of the tangent bundle of X, the critical set X(γ‎) ⊂ X of dᵧ can be easily related to the fixed point set Fᵧ ⊂ X of the symplectic transformation γ‎⁻¹φ‎₁ of X.
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