The Number of Equilibrium Points of Perturbed Nonlinear Positive Dynamical Systems (Extended Version)

The Number of Equilibrium Points of Perturbed Nonlinear Positive Dynamical Systems (Extended Version)

The number of equilibrium points of a dynamical system dictates important qualitative properties such as the ability of the system to store different memory states, and may be significantly affected by state-dependent perturbations. In this paper, we develop a methodology based on tools from degree...

Полное описание

Библиографические подробности
Главные авторы:	McBride, Cameron, Del Vecchio, Domitilla
Формат:	Technical Report
Язык:	en_US
Опубликовано:	2018
Предметы:	genetic circuits homotopy methods degree theory nonlinear dynamical systems multistability systems biology
Online-ссылка:	http://hdl.handle.net/1721.1/118380

Схожие документы

Application of the Homotopy Perturbation Method to Solve Nonlinear Equations Arising in Oscillatory Systems
по: Mohammadjavad Mahmoodabadi, и др.
Опубликовано: (2025-01-01)

Investigation on the Impact of Excitation Amplitude on AFM-TM Microcantilever Beam System’s Dynamic Characteristics and Implementation of an Equivalent Circuit
по: Peijie Song, и др.
Опубликовано: (2023-12-01)

A Novel Chaotic System with Only Quadratic Nonlinearities: Analysis of Dynamical Properties and Stability
по: Othman Abdullah Almatroud, и др.
Опубликовано: (2024-02-01)

A 3D memristor-based chaotic system with transition behaviors of coexisting attractors between equilibrium points
по: Qiao Wang, и др.
Опубликовано: (2024-01-01)

A New Hyperjerk System With a Half Line Equilibrium: Multistability, Period Doubling Reversals, Antimonotonocity, Electronic Circuit, FPGA Design, and an Application to Image Encryption
по: Aceng Sambas, и др.
Опубликовано: (2024-01-01)

Predicting Tipping Points in a Family of PWL Systems: Detecting Multistability via Linear Operators Properties
по: Joaquin Alvarez-gallegos, и др.
Опубликовано: (2024-06-01)

Multistability and its Annihilation in the Chua’s Oscillator with Piecewise-Linear Nonlinearity
по: Zeric Njıtacke, и др.
Опубликовано: (2020-11-01)

Nonlinear vibration of mechanical systems by means of Homotopy perturbation method
по: MAHMOUD BAYAT, и др.
Опубликовано: (2015-09-01)

Trade-offs in Robustness to Perturbations of Bacterial Population Controllers *
по: McBride, Cameron, и др.
Опубликовано: (2021)

Trade-offs in Robustness to Perturbations of Bacterial Population Controllers *
по: McBride, Cameron David, и др.
Опубликовано: (2022)

Study of the Six-Compartment Nonlinear COVID-19 Model with the Homotopy Perturbation Method
по: Muhammad Rafiullah, и др.
Опубликовано: (2024-05-01)

High-dimensional homotopy curve tracking on a shared-memory multiprocessor

A new modified WINDMI jerk system with exponential and sinusoidal nonlinearities, its bifurcation analysis, multistability, circuit simulation and synchronization design
по: Mohamad Afendee Mohamed, и др.
Опубликовано: (2024-01-01)

An analytical approach for the nonlinear forced vibration of clamped-clamped buckled beam
по: Shahin Mohammadrezazadeh, и др.
Опубликовано: (2017-07-01)

Homotopy Analysis Aboodh Transform Method for Nonlinear System of Partial Differential Equations
по: Mountassir Hamdi Cherif, и др.
Опубликовано: (2018-12-01)

Experimental State Observer of the Population Inversion of a Multistable Erbium-Doped Fiber Laser
по: Daniel Alejandro Magallón-García, и др.
Опубликовано: (2024-10-01)

Generation of Multistability through Unstable Systems
по: Baltazar Aguirre Hernandez, и др.
Опубликовано: (2022-12-01)

Estimation of HIV infection mathematical model]{Estimation of HIV infection mathematical model parameters using modified LHPM
по: Mitra Moeini, и др.
Опубликовано: (2023-09-01)

Decomposition–Linearization–Sequential Homotopy Methods for Nonlinear Differential/Integral Equations
по: Chein-Shan Liu, и др.
Опубликовано: (2024-11-01)

Modified homotopy perturbation method for integro-differential and hypersingular integral equations
по: Zulkarnain, Fatimah Samihah
Опубликовано: (2018)

Enlightenment Of Heat Diffusion Using New Homotopy Perturbation Method
по: Kapil Pal, и др.
Опубликовано: (2024-01-01)

Robust model invalidation for chemical reaction networks using generalized moments (extended version)
по: Grunberg, Theodore W., и др.
Опубликовано: (2023)

Extreme Homogeneous and Heterogeneous Multistability in a Novel 5D Memristor-Based Chaotic System with Hidden Attractors
по: Chengwei Dong, и др.
Опубликовано: (2024-04-01)

Application of modified homotopy perturbation method for EIAV infection
по: Mitra Moeini, и др.
Опубликовано: (2022-02-01)

Model reduction for a class of singularly perturbed stochastic differential equations : Fast variable approximation (Extended Version)
по: Herath, Narmada, и др.
Опубликовано: (2016)

Nonlinear poro thermal vibration and parametric excitation in a magneto-elastic embedded nanobeam using homotopy perturbation technique
по: Anitha Lakshmanan, и др.
Опубликовано: (2024-10-01)

Longitudinal dynamic behavior study of a vibrating rod connected through an elastic nonlinear single degree freedom coupler
по: Mingfei Chen, и др.
Опубликовано: (2024-11-01)

Exploring Nonlinear Dynamics in Intertidal Water Waves: Insights from Fourth-Order Boussinesq Equations
по: Hassan Almusawa, и др.
Опубликовано: (2024-11-01)

Exploring Chaos and Stability in a 3-D Finance Model with Absolute Function Nonlinearity
по: Muhamad Deni Johansyah, и др.
Опубликовано: (2025-02-01)

Dynamics of the system of delay differential equations with nonlinearity having a simple behavior at infinity
по: A.A. Kashchenko, и др.
Опубликовано: (2024-12-01)

Analytical and dynamical analysis of nonlinear Riemann wave equation in plasma systems
по: Adil Jhangeer, и др.
Опубликовано: (2024-12-01)

An analytical approach for systems of fractional diﬀerential equations by means of the innovative homotopy perturbation method
по: Darzi Rahmat, и др.
Опубликовано: (2018-01-01)

Spectral homotopy analysis method and composite Chebyshev finite difference method for solving integro-differential equations
по: Atabakan, Zohreh Pashazadeh
Опубликовано: (2015)

Modeling and Control of Uncertain Nonlinear Systems with Fuzzy Equations and Z-Number /
по: Yu, Wen, author, и др.
Опубликовано: (2019)

Nonlinear and distributed circuits /
по: Chen, Wai-Kai, 1936-
Опубликовано: (2006)

Nonlinear dynamics in circuits /
по: Carroll, T. (Thomas L.), и др.
Опубликовано: (1995)

Nonlinear microwave circuit design /
по: Giannini, Franco, 1944-, и др.
Опубликовано: (2004)

Homotopy analysis method for solving fuzzy Nonlinear Volterra integral equation of the second kind
по: Rana Hussein, и др.
Опубликовано: (2024-08-01)

Computational and Numerical Analysis of the Caputo-Type Fractional Nonlinear Dynamical Systems via Novel Transform
по: Mashael M. AlBaidani, и др.
Опубликовано: (2024-11-01)

Phase multistability of synchronous chaotic oscillations
по: T. E. Vadivasova, и др.
Опубликовано: (2000-01-01)