Preserving synchronization using nonlinear modifications in the Jacobian matrix

Becker-Bessudo, D.; Fernández‐Anaya, Guillermo; Flores-Godoy, J.J.

doi:10.1016/j.cnsns.2010.04.025

Cited by 3 publications

(1 citation statement)

References 8 publications

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“…The same results can also be used in the chaos suppression problem. In [7], the authors show the viability of preserving the hyperbolicity of a masterslave pair of chaotic systems under different types of nonlinear modifications to its Jacobian matrix.…”

Section: Introductionmentioning

confidence: 99%

Preservation of Synchronization Using a Tracy‐Singh Product in the Transformation on Their Linear Matrix

Fernadez‐Anaya¹,

Quezada‐Téllez²,

López‐Rentería³

et al. 2017

Dynamical Systems - Analytical and Computational Techniques

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Preservation is related to local asymptotic stability in nonlinear systems by using dynamical systems tools. It is known that a system, which is stable, asymptotically stable, or unstable at origin, through a transformation can remain stable, asymptotically stable, or unstable. Some systems permit partition of its nonlinear equation in a linear and nonlinear part. Some authors have stated that such systems preserve their local asymptotic stability through the transformations on their linear part. The preservation of synchronization is a typical application of these types of tools and it is considered an interesting topic by scientific community. This chapter is devoted to extend the methodology of the dynamical systems through a partition in the linear part and the nonlinear part, transforming the linear part using the Tracy-Singh product in the Jacobian matrix. This methodology preserves the structure of signs through the real part of eigenvalues of the Jacobian matrix of the dynamical systems in their equilibrium points. The principal part of this methodology is that it permits to extend the fundamental theorems of the dynamical systems, given a linear transformation. The results allow us to infer the hyperbolicity, the stability and the synchronization of transformed systems of higher dimension.

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Section: Introductionmentioning

confidence: 99%

Preservation of Synchronization Using a Tracy‐Singh Product in the Transformation on Their Linear Matrix

Fernadez‐Anaya¹,

Quezada‐Téllez²,

López‐Rentería³

et al. 2017

Dynamical Systems - Analytical and Computational Techniques

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Enhancing curvature prediction in flexible printed circuits: A computational approach integrating analytical models with finite element simulations

Meng,

Ding,

Atli

et al. 2024

Alexandria Engineering Journal

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Research on Evolutionary Game Strategy Selection and Simulation Research of Carbon Emission Reduction of Government and Enterprises under the “Dual Carbon” Goal

Dong

Yang

et al. 2022

Sustainability

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As one of the effective market instruments in carbon emission reduction policy, carbon trading is capable of promoting the smooth implementation of the “dual carbon” goal. Based on the path evolutionary game method of information economics, this paper constructs a dynamic game model of the evolution and development of government and enterprise carbon emission reduction. It also analyzes the evolution and development law of government and enterprise carbon emission reduction. We used the carbon market trading data of Guangdong Province to simulate the evolutionary game path of government and enterprise carbon emission reduction under the “double carbon” target and then selected strategies. Results show that (1) Scientific adjustment of carbon quota can effectively shorten the realization time of carbon emission reduction probability of high-pollution enterprises, obtain additional surplus carbon quota, and win extra carbon emission reduction income; (2) Increasing financial subsidies can improve the probability of carbon emission reduction of high-pollution enterprises but cannot prevent the periodic change in carbon emission reduction probability, which in turn helps prolong the “window period” of government regulation on carbon emission reduction; (3) Increasing carbon emission penalties will help high-pollution enterprises actively reduce emissions and improve the motivation of government supervision; (4) The government can introduce a dynamic reward and punishment mechanism. If the government properly chooses the reward and punishment strategy, it may not necessarily pay additional subsidies, so that the government and enterprises can cooperate in tacit agreement to achieve the goal of carbon emission reduction; (5) If the price of carbon emission permits is adjusted, high-pollution enterprises will actively reduce carbon emissions and gain greater benefits no matter what regulatory measures the government takes. Results of this study have profound significance for carbon emission reduction strategies and government regulation of high-pollution enterprises and will help China achieve its “dual carbon” development goal.

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Preserving synchronization using nonlinear modifications in the Jacobian matrix

Cited by 3 publications

References 8 publications

Preservation of Synchronization Using a Tracy‐Singh Product in the Transformation on Their Linear Matrix

Preservation of Synchronization Using a Tracy‐Singh Product in the Transformation on Their Linear Matrix

Enhancing curvature prediction in flexible printed circuits: A computational approach integrating analytical models with finite element simulations

Research on Evolutionary Game Strategy Selection and Simulation Research of Carbon Emission Reduction of Government and Enterprises under the “Dual Carbon” Goal

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