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Lie Symmetry, Conservation Laws, and Dynamical Analysis of Ionic Currents in the Microtubule Model

open access: yesMathematics
In this article, we investigate the dynamical analysis and soliton solutions of the microtubule equation. First, the Lie symmetry method is applied to the considered model to reduce the governing partial differential equation into an ordinary ...
Beenish, Abdulaziz Khalid Alsharidi
doaj   +1 more source

ROBUST METHOD FOR EXPERIMENTAL BIFURCATION ANALYSIS

open access: yesInternational Journal of Bifurcation and Chaos, 2002
We present a robust method to locate and continue period-doubling, saddle-node and symmetry-breaking bifurcations of periodically driven experimental systems. The method is illustrated from results obtained for an electronic implementation of a Duffing oscillator.
Langer, G., Parlitz, Ulrich
openaire   +2 more sources

A Theoretical Approach to Tourism Sustainability

open access: yesEcology and Society, 2002
This paper shows that it is difficult, if not impossible, to formulate policies that guarantee that tourism can be maintained for a long time without severely impacting on the environment.
Renato Casagrandi, Sergio Rinaldi
doaj   +1 more source

Hybrid Caputo-Type Fractional Parallel Schemes for Nonlinear Elliptic PDEs with Chaos- and Bifurcation-Based Acceleration

open access: yesFractal and Fractional
In this work, we propose a fractional Jacobian–based parallel two-stage iterative framework for the numerical solution of nonlinear systems arising from elliptic PDE discretizations. The core of the approach is a high-order fractional two-step scheme (S1)
Mudassir Shams, Bruno Carpentieri
doaj   +1 more source

Stability Dependence on Inertia in the Driven Damped Pendulum: A Master Control Parameter Analysis

open access: yesMathematics
The driven damped pendulum is a foundational model in nonlinear dynamics, with applications ranging from Josephson junctions to MEMS oscillators. Conventional dimensionless treatments obscure the common physical origin of damping and driving in the ...
Alexander N. Pisarchik
doaj   +1 more source

Optimal control and bifurcation analysis of a delayed fractional-order SIRS model with general incidence rate and delayed control

open access: yesNonlinear Analysis
A fractional-order generalized SIRS model considering incubation period is established in this paper for the transmission of emerging pathogens. The corresponding Hopf bifurcation is discussed by selecting time delay as the bifurcation parameter.
Conghui Xu   +3 more
doaj   +1 more source

Bifurcation analysis for the Internet congestion

open access: yesIEEE INFOCOM 2019 - IEEE Conference on Computer Communications Workshops (INFOCOM WKSHPS), 2019
The bifurcation and chaotic behavior of TCP may cause heavy oscillation of average queue length at routers and induce network instability. In this context, congestion control in the Internet is a challenging problem of key importance. This work presents a new discrete dynamical model of Random Early Detection (RED) using beta distribution for ...
Duran Ballester, Guillem   +4 more
openaire   +2 more sources

Neural oscillation in low-rank SNNs: bridging network dynamics and cognitive function

open access: yesFrontiers in Computational Neuroscience
Neural oscillation, particularly gamma oscillation, are fundamental to cognitive processes such as attention, perception, and decision-making. Experimental studies have shown that the phase of gamma oscillation modulates neuronal response selectivity ...
Bin Li   +5 more
doaj   +1 more source

Electrothermal Instabilities in Barium-Titanate-Based Ceramics

open access: yesJ
An electrothermal analysis for barium-titanate-based ceramics is presented, combining the Heywang–Jonker model for the electric resistivity with a heat dissipation mechanism based on natural convection and radiation in a one-dimensional model on the ...
Rizos N. Krikkis
doaj   +1 more source

Bifurcation theory applied to aircraft motions [PDF]

open access: yes
Bifurcation theory is used to analyze the nonlinear dynamic stability characteristics of single-degree-of-freedom motions of an aircraft or a flap about a trim position.
Hui, W. H., Tobak, M.
core   +1 more source

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