Periodic Solutions to a Ring of Identical Cells With Delay via the Equivariant Degree Method
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.We investigate the existence and multiplicity of bifurcating solutions in a Hopfield–Cohen–Grossberg network with n identical components and time delays. Applying the equivariant degree method, we derive sufficient conditions guaranteeing periodic solutions and their multiplicities. Two examples are provided to exemplify the theoretical results.
Shi Yu, Igor Freire
wiley +1 more source
Circulant Matrices and Time-series Analysis [PDF]
This paper sets forth some of the salient results in the algebra of circulant matrices which can be used in time-series analysis. It provides easy derivations of some results that are central to the analysis of statistical periodograms and empirical ...
Stephen Pollock
core
On circulant matrices with Fibonacci quaternions [PDF]
Notes on Number Theory and Discrete MathematicsIn literature, there exist many papers that compute determinants and some kinds of norms of circulant matrices involving some well-known number sequences.
Seda Yamaç Akbıyık +3 more
doaj +1 more source
Low Complexity Equalization of Orthogonal Chirp Division Multiplexing in Doubly-Selective Channels
Sensors, 2020 Orthogonal Chirp Division Multiplexing (OCDM) is a modulation scheme which outperforms the conventional Orthogonal Frequency Division Multiplexing (OFDM) under frequency selective channels by using chirp subcarriers.
Xin Wang, Zhe Jiang, Xiao-Hong Shen
doaj +1 more source
Eigenvectors of block circulant and alternating circulant matrices,” Res [PDF]
, 2005 . The eigenvectors and eigenvalues of symmetric block circulant ma-trices had been found, and that method is extended to general block circulant matrices. That analysis is applied to Stephen J.
Garry J. Tee, Tee, Garry J.
core
Skew-Circulant-Matrix-Based Harmonic-Canceling Synthesizer for BIST Applications. [PDF]
Sensors (Basel), 2022 Garayar-Leyva GG +3 more
europepmc +1 more source
Eigenvectors of Compound-Circulant and Alternating Circulant Matrices
, 2002 A circulant matrix whose elements are square submatrices is called a compound-circulant matrix. The eigenvectors and eigenvalues had been found for symmetric compound-circulant matrices, and that method is extended to general compound-circulant matrices.
Tee, Garry J.
core
A Fast GPU Algorithm for the Inverse of a Circulant Matrix
, 2011 Circulant matrix is a special case of Toeplitz matrix, which is widely used in many domains of specialization, especially in image and digital signal processing. Calculating the inverse of this category of matrices consists of the following three steps: (
Rui Xia Zhang, Zuo Yong Zheng
core +1 more source
On single-step HSS iterative method with circulant preconditioner for fractional diffusion equations
Advances in Difference Equations, 2019 By exploiting Toeplitz-like structure and non-Hermitian dense property of the discrete coefficient matrix, a new double-layer iterative method called SHSS-PCG method is employed to solve the linear systems originating from the implicit finite difference ...
Mu-Zheng Zhu, Guo-Feng Zhang, Ya-E Qi
doaj +1 more source
Circulant and skew-circulant splitting methods for Toeplitz systems
, 2003 We study efficient iterative methods for Toeplitz systems based on the circulant and skew-circulant splitting (CSCS) of the Toeplitz matrix. Theoretical analysis show that if the circulant and the skew-circulant splitting matrices are positive definite ...
Ng, Michael K.
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