Results 61 to 70 of about 4,323 (217)
A tipping point for tipping points
Oikos, EarlyView.Tipping points (TPs) – often understood as abrupt changes to a system – have become a popular framework for ecology and environmental science across spatial and temporal scales. The underlying, quantitative foundation of TP theory is built on mathematical models from catastrophe and predator–prey theories.
David G. Jenkins +1 more
wiley +1 more source
Rigorous Verification of Poincaré Map Generated by a Continuous Piece-Wise Linear Vector Field and Its Application [PDF]
, 2004 SUMMARY This paper provides algorithms in order to solve an interval implicit function of the Poincaré map generated by a continuous piecewise linear (CPWL) vector field, with the use of interval arithmetic. The algorithms are implemented with the use of
Hirohiko Honda +3 more
core
The Euler-Poincaré characteristic of index maps [PDF]
, 2007 We apply the concept of the Euler-Poincaré characteristic and the periodicity number to the index map of an isolated invariant set in order to obtain a new criterion for the existence of periodic points of a continuous map in a given ...
Mrozek, Marian +3 more
core +1 more source
Orbital Stabilization of Underactuated Systems using Virtual Holonomic Constraints and Impulse Controlled Poincaré Maps [PDF]
, 2020 The problem of orbital stabilization of underactuated mechanical systems with one passive degree-of-freedom (DOF) is revisited. Virtual holonomic constraints are enforced using a continuous controller; this results in a dense set of closed orbits on a ...
Kant, Nilay, Mukherjee, Ranjan
core +1 more source
The Poincaré map of degenerate monodromic singularities with Puiseux inverse integrating factor
Advances in Nonlinear Analysis, 2023 We consider analytic families of planar vector fields depending analytically on the parameters in Λ\Lambda that guarantee the existence of a (may be degenerate and with characteristic directions) monodromic singularity.
García Isaac A., Giné Jaume
doaj +1 more source
Adaptive Sliding‐Mode Control of a Perturbed Diffusion Process With Pointwise In‐Domain Actuation
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT A sliding mode–based adaptive control law is proposed for a class of diffusion processes featuring a spatially‐varying uncertain diffusivity and equipped with several point‐wise actuators located at the two boundaries of the spatial domain as well as in its interior.
Paul Mayr +3 more
wiley +1 more source
Computing one-dimensional global manifolds of Poincaré maps by continuation [PDF]
, 2005 We present an algorithm to compute one-dimensional stable and unstable manifolds of saddle periodic orbits in a Poincaré section. The computation is set up as a boundary value problem by restricting the beginning and end points of orbit segments to the ...
England, James +6 more
core +1 more source
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT The importance of frequency domain methods in analysis and design of sliding mode (SM) control systems is mostly associated with chattering, where the advantages of these methods over state‐space and Lyapunov's methods are quite obvious.
I. M. Boiko
wiley +1 more source
The Poincaré-Miranda theorem [PDF]
, 2021 Diplomsko delo obravnava posplošitev dobro poznanega izreka v eni dimenziji, in sicer izreka o vmesni vrednosti. Natančneje, njegove posledice, ki zagotovi obstoj ničle funkcije. Ta izrek je dobro poznan tudi kot izrek o ničli.
Lipnik, Barbara
core
Heart‐Rate Variability and Its Role in Non‐Cardiac Surgery Perioperative Care: Scoping Review
ANZ Journal of Surgery, EarlyView.ABSTRACT Background Heart rate variability (HRV) is a non‐invasive method of assessing autonomic function. Those with autonomic dysfunction may be at heightened risk of peri‐operative complications due to sympatho‐parasympathetic imbalance. This review summarises the clinical applications of HRV, approaches to how it is measured, and its role in ...
Reuben Veysey‐Smith +3 more
wiley +1 more source