Results 11 to 20 of about 114,098 (264)

Zero-Hopf Bifurcations of 3D Quadratic Jerk System

open access: yesMathematics, 2020
This paper is devoted to local bifurcations of three-dimensional (3D) quadratic jerk system. First, we start by analysing the saddle-node bifurcation. Then we introduce the concept of canonical system.
Bo Sang, Bo Huang
doaj   +1 more source

Dynamics and Embedded Solitons of Stochastic Quadratic and Cubic Nonlinear Susceptibilities with Multiplicative White Noise in the Itô Sense

open access: yesMathematics, 2023
The main purpose of this paper is to study the dynamics and embedded solitons of stochastic quadratic and cubic nonlinear susceptibilities in the Itô sense, which can further help researchers understand the propagation of soliton nonlinear systems ...
Zhao Li, Chen Peng
doaj   +1 more source

Systems of Hermitian Quadratic Forms [PDF]

open access: yesCanadian Mathematical Bulletin, 2004
AbstractIn this paper, we give some conditions to judge when a system of Hermitian quadratic forms has a real linear combination which is positive definite or positive semi-definite. We also study some related geometric and topological properties of the moduli space.
Ma, Li, Chen, Dezhong
openaire   +1 more source

A Novel Method for Optimal Control of Piecewise Affine Systems Using Semi-Definite Programming [PDF]

open access: yesInternational Journal of Industrial Electronics, Control and Optimization, 2020
: In this paper, a novel optimal control design method by discontinuous quadratic Lyapunov function and continuous quadratic Lyapunov function for 2-dimensional piecewise affine systems via semi-definite programming and LMI constraints is proposed.In ...
Majid Akbarian   +2 more
doaj   +1 more source

Analisa Performansi Sistem Kendali Frekuensi Tenaga Listrik Multimesin Dengan Metoda Linear Quadratic Regulator (LQR)

open access: yesJurnal Nasional Teknik Elektro, 2014
This journal discusses about the performance analysis of frequency control power system in multi machine with Linear Quadratic Regulator method (LQR).
Heru Dibyo Laksono, M. Reza Permana
doaj   +3 more sources

Characterization, stability and hyperstability of multi-quadratic–cubic mappings

open access: yesJournal of Inequalities and Applications, 2021
In this paper, we unify the system of functional equations defining a multi-quadratic–cubic mapping to a single equation. Applying a fixed point theorem, we study the generalized Hyers–Ulam stability of multi-quadratic–cubic mappings.
Abasalt Bodaghi, Ajda Fošner
doaj   +1 more source

Optimal Monomial Quadratization for ODE Systems [PDF]

open access: yes, 2021
Quadratization problem is, given a system of ODEs with polynomial right-hand side, transform the system to a system with quadratic right-hand side by introducing new variables. Such transformations have been used, for example, as a preprocessing step by model order reduction methods and for transforming chemical reaction networks.
Andrey Bychkov, Gleb Pogudin
openaire   +2 more sources

Characterization and Stability of Multi-Euler-Lagrange Quadratic Functional Equations

open access: yesJournal of Function Spaces, 2022
The aim of the current article is to characterize and to prove the stability of multi-Euler-Lagrange quadratic mappings. In other words, it reduces a system of equations defining the multi-Euler-Lagrange quadratic mappings to an equation, say, the multi ...
Abasalt Bodaghi   +2 more
doaj   +1 more source

A Novel Highly Nonlinear Quadratic System: Impulsive Stabilization, Complexity Analysis, and Circuit Designing

open access: yesComplexity, 2022
This work introduces a three-dimensional, highly nonlinear quadratic oscillator with no linear terms in its equations. Most of the quadratic ordinary differential equations (ODEs) such as Chen, Rossler, and Lorenz have at least one linear term in their ...
Arthanari Ramesh   +5 more
doaj   +1 more source

A new chaotic hyperjerk system with four quadratic nonlinearities, its bifurcation analysis, multistability, circuit design and complete synchronization design via active backstepping control [PDF]

open access: yesArchives of Control Sciences
In this research work, we propose a new four-dimensional chaotic hyperjerk system with four quadratic nonlinearities. We carry out a detailed bifurcation analysis and derive conditions for the existence of a Hopf bifurcation for the new hyperjerk system.
Sundarapandian Vaidyanathan   +5 more
doaj   +1 more source

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