Results 1 to 10 of about 615 (178)

Classification of Global Phase Portraits of a System of Liénard Type

Journal of Mathematical Analysis and Applications, 1995
This paper concerns a classification of global phase portraits generated by a Liénard differential equation, the two functions of which satisfy conditions called ``deformed mirror symmetry'' for the phase trajectories. These conditions lead to non-dissipative trajectories, for which the authors define separatrices limiting regions of the phase plane ...
Sugie, J., Hara, T.
openaire   +1 more source

Feature Fusion-Based Multi-Task ConvNet for Simultaneous Optical Performance Monitoring and Bit-Rate/Modulation Format Identification

IEEE Access, 2019
We propose a novel feature fusion based multi-task convolutional neural network (ConvNet) for simultaneous bit-rate and modulation format identification (BR-MFI) and optical performance monitoring (OPM) in heterogeneous fiber-optic networks. The proposed
Xiaojie Fan, Lina Wang, Fang Ren, Yulai Xie, Xiang Lu, Yiying Zhang, Tianwen Zhangsun, Wei Chen, Jianping Wang   +8 more
doaj   +1 more source

Classification of global phase portraits and bifurcation diagrams of Hamiltonian systems with rational potential

Journal of Differential Equations, 2016
The authors find all possible phase portraits, up to topological equivalence, of vector fields of the form \(\dot x = H_y\), \(\dot y = -H_x\), where the Hamiltonian has the form \(H = \frac12 y^2 + P(x) / Q(x)\) and \(P\) and \(Q\) are polynomials of degree at most two.
Martínez, Y. P., Vidal, C.
openaire   +1 more source

Nonlinear Wave Structures, Multistability, and Chaotic Behavior of Quantum Dust-Acoustic Shocks in Dusty Plasma with Size Distribution Effects

Mathematics
This paper presents a detailed study of the (3+1)-dimensional Zakharov–Kuznetsov–Burgers equation to investigate shock-wave phenomena in dusty plasmas with quantum effects.
Huanbin Xue, Lei Zhang
doaj   +1 more source

Global topological classification of Lotka-Volterra quadratic differential systems

Electronic Journal of Differential Equations, 2012
The Lotka-Volterra planar quadratic differential systems have numerous applications but the global study of this class proved to be a challenge difficult to handle.
Dana Schlomiuk, Nicolae Vulpe
doaj  

Z2-symmetric planar polynomial Hamiltonian systems of degree 3 with nilpotent centers

Electronic Journal of Differential Equations, 2019
We provide the normal forms of all $\mathbb{Z}_2$-symmetric planar polynomial Hamiltonian systems of degree 3 having a nilpotent center at the origin.
Fabio Scalco Dias, Jaume Llibre, Claudia Valls   +2 more
doaj  

Application of PSO-integrated K-means algorithm in resident digital portrait classification. [PDF]

PLoS One
Yue H, Zhang H, Dai Y.
europepmc   +1 more source

Federated Learning Under Evolving Distribution Shifts. [PDF]

Entropy (Basel)
Tan X, Xie T, Zheng X, Yener A, Lee M, Payani A, Latapie H, Zhang X.   +7 more
europepmc   +1 more source

Basin Entropy and Shearless Barrier Breakup in Open Non-Twist Hamiltonian Systems. [PDF]

Entropy (Basel), 2023
Souza LC, Mathias AC, Haerter P, Viana RL.   +3 more
europepmc   +1 more source

Multistability, Chaos, and Control in the Deterministic and Stochastic Dynamics of Noise-Driven Nonlinear Oscillators. [PDF]

Entropy (Basel)
Jhangeer A, Abdelkader A.
europepmc   +1 more source