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Poincare Return Maps

2017
The Poincare return map is a model for measuring changes in trajectories and for evaluating the effects of forces that facilitate or present barriers to the pathways. It is important to measure the stability of a trajectory or its deviation. With either situation, one seeks to understand the variables that maintain stability or that generate the ...
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A return mapping algorithm based on the hyper dual step derivative approximation for elastoplastic models

Computer Methods in Applied Mechanics and Engineering, 2023
Xin Zhou   +6 more
semanticscholar   +1 more source

Experimental investigation on hydromechanical behavior of basalt and numerical modeling by return mapping algorithms

Bulletin of Engineering Geology and the Environment, 2023
Tao Zhang   +5 more
semanticscholar   +1 more source

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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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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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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Return map analysis of chaotic phase synchronization

Physica D: Nonlinear Phenomena, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tsukamoto, Naofumi, Fujisaka, Hirokazu
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Mapping Out One’s Own Paths Toward Work: Focus on Experiences of Return to Work After Spinal Cord Injury

Qualitative Health Research, 2018
Involving persons with spinal cord injury (SCI) as experts in their lives is important for research to design relevant health care interventions. The purpose of this study was to use photovoice methods to explore experiences of barriers and possibilities
Lisa Holmlund, C. Hultling, E. Asaba
semanticscholar   +1 more source

First-return maps as a unified renormalization scheme for dynamical systems

Physical Review A, 1987
We propose to look at first-return maps into a specified region of phase space as a basis for a unified renormalization scheme for dynamical systems. The choice of the region for first return is dictated by the symbolic dynamics (e.g., kneading sequence) of the relevant trajectories.
, Procaccia, , Thomae, , Tresser
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Two-Dimensional Symplectic Return Maps and Applications

2015
The goal of this extended abstract is to show how return maps, even in simple cases, can provide accurate information in some dynamical aspects.
Regina Martínez, Carles Simó
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