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Phase Portrait, Bifurcation and Chaotic Analysis, Variational Principle, Hamiltonian, Novel Solitary, and Periodic Wave Solutions of the New Extended Korteweg–de Vries–Type Equation

Mathematical methods in the applied sciences
The center task of this paper is to give the qualitative and quantitative investigations into the nonlinear dynamics of the new extended Korteweg–de Vries–type equation for shallow‐water waves.
Kang‐Jia Wang   +4 more
semanticscholar   +1 more source

Phase Portraits of Quantum Systems

Few-Body Systems, 2013
We formulate a general approach to construct phase portraits of a quantum system in the Fock–Bargmann space. This approach is applied to simple model problems and two-cluster nuclei as well.
Yu. A. Lashko   +3 more
openaire   +1 more source

Transient Stability Analysis for Hybrid Parallel-Connected Converters by Two-Dimensional Phase Portrait

IEEE transactions on power electronics
A hybrid parallel-connected system with grid-following (GFL) and grid-forming (GFM) converters can be characterized as a high-order nonlinear dynamic system when performing transient synchronous stability analysis, which cannot be analyzed clearly by the
Shunliang Wang   +5 more
semanticscholar   +1 more source

Phase portrait analysis of super solitary waves and flat top solutions

Physics of Plasmas, 2018
The phase portrait analysis of super solitary waves has revealed a new kind of intermediate solution which defines the boundary between the two types of super solitary waves, viz., Type I and Type II.
S. V. Steffy, S. Ghosh
semanticscholar   +1 more source

Phase-Plane Portraits

2001
Consider a dynamical system of two coupled ordinary differential equations (ODEs) of the general structure $$ \dot{x} \equiv \frac{{dx}}{{dt}} = P(x,y),\dot{y} \equiv \frac{{dy}}{{dt}} = Q(x,y) $$ (5.1) where P and Q are known functions of the dependent variables x and y and the independent variable has been taken to be the time t.
Richard H. Enns, George C. McGuire
openaire   +1 more source

Phase portrait of the matrix Riccati equation

SIAM Journal on Control and Optimization, 1986
The matrix Riccati equations \(dK/dt=B_{21}+B_{22}K-KB_{11}- KB_{12}K\) (where \(K=K(t)\in {\mathbb{R}}^{m\times n}\) is variable and \(B_{12}\in {\mathbb{R}}^{m\times n}\), \(B_{22}\in {\mathbb{R}}^{m\times m}\), \(B_{11}\in {\mathbb{R}}^{n\times n}\), \(B_{12}\in {\mathbb{R}}^{n\times m}\) are constant matrices) and \(dK/dt=-Q-A'K-KA+KLK\) (where \(K=
M. Shayman
semanticscholar   +2 more sources

Phase portrait in conversation processes

2006
Our goal was to extract information on communicative process evolution avoiding simplification and classification. We analysed 50 motivational research interview made from students during their university course. The nature intrinsically interactive of the dialogue concretises, shapes and evolves within time dimension.
G Morgavi, V Florini
openaire   +6 more sources

Phase Portrait of CDS

1991
At the present time, it is apparently difficult to give a general and exhaustive definition of the phase portait of CDSs considered here. At the present stage of development of the theory, it can be adequately done for a second-order CDS defined on the plane or on a two- dimensional manifold (Sec. 34).
openaire   +1 more source

Bifurcations of Phase Portraits

2000
The situation that we shall be concerned with in this chapter is the following: we consider a differential system that depends on auxiliary parameters (as in Chapt. 5, we may talk about control parameters, hidden parameters, imperfection parameters, … ) and we wish to understand how the phase portrait changes as the parameters vary.
openaire   +1 more source

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