Sidhartha Bhowmick, Suvash C. Saha, Manman Qiao, Feng Xu
Natural convection in a V-shaped cavity heated from below and cooled from top is investigated owing to its extensive presence in industrial systems and in nature such as in a valley. Two dimensional numerical simulation is performed for natural convection in the cavity using a Finite Volume Method. ...
Tao Peng, Jie Zhong, Zhengwen Tu, Jianquan Lu et al.
For a class of quaternion-valued neural networks (QVNNs) with discrete and distributed time delays, its finite-time synchronization (FTSYN) is addressed in this paper. Instead of decomposition, a direct analytical method named two-step analysis is proposed. That method can always be used to study FT...
Sarker Md. Sohel Rana, Umme Kulsum
The dynamic behavior of a discrete-time predator-prey system of Leslie type with simplified Holling type IV functional response is examined. We algebraically show that the system undergoes a bifurcation (flip or Neimark-Sacker) in the interior of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathM...
Yiqi Zhang, Rong Wang, Hua Zhong, Jingwen Zhang et al.
We demonstrate optical Bloch oscillation (OBO) and optical Zener tunneling (OZT) in the fractional Schrödinger equation (FSE) with periodic and linear potentials, numerically and theoretically. We investigate in parallel the regular Schrödinger equation and the FSE, by adjusting the Lévy index, and ...
Mohammad Safi Ullah, Dumitru Bǎleanu, Md Zulfikar Ali, Harun-Or Roshid
Xing Guo, Jinling Liang, Jianquan Lu
This study deals with the bipartite consensus problem for multi‐agent systems associated with signed digraphs. For structurally balanced signed digraphs, by constructing a new class of general Laplacian matrices, it is found that all agents will converge to two values with different modulus if the s...
Sayed Allamah Iqbal, M. G. Hafez, M. F. Uddin
Xiaoxiao Lv, Xiaodi Li, Jinde Cao, Peiyong Duan
The problem of exponential synchronization for neural networks is investigated via feedback control in complex environment. By constructing suitable Lyapunov‐Krasovskii functionals and applying the piecewise analytic method, some sufficient criteria for exponential synchronization of the addressed n...
Sarker Md. Sohel Rana
Abstract A discrete-time Holling-Tanner model with ratio-dependent functional response is examined. We show that the system experiences a flip bifurcation and Neimark-Sacker bifurcation or both together at positive fixed point in the interior of $\mathbb {R}^{2}_{+}$ <mml:math xmlns:mml="http://www....
Ping He, Chunguo Jing, Changzhong Chen, Tao Fan et al.
Mouna Derbali, Taoufik Soltani, Ahlem Guesmi, Naoufel Ben Hamadi et al.
Md. Shahidur Rahaman, Mohammad Nazrul Islam, Mohammad Safi Ullah
Bifurcation, chaos, modulation instability, and solitons are important phenomena in nonlinear dynamical structures that help us understand complex physical processes. This work employs the Schrödinger equation with cubic nonlinearity (SECN), rising in superconductivity, quantum mechanics, optics, an...
Sarker Md. Sohel Rana
In this paper, we investigate the dynamics of a discrete-time predator-prey system with simplified Monod-Haldane functional response. The existence and local stability of positive fixed point of the discrete dynamical system is analyzed algebraically. It is shown that the system undergoes a flip bif...
Md. Mamunur Roshid, Harun-Or Roshid, Md Zulfikar Ali, Hadi Rezazadeh
In this article, we apply a direct influential approach namely enhanced modified simple equation (EMSE) method to integrate the Burgers–Huxley (BH) and FitzHugh–Nagumo (FHN) equations which explain nerve pulse propagation in nerve fibers, circuit theory as well as wall motion in liquid crystals. The...
Sarker Md. Sohel Rana
This study examines the complexity of a discrete-time predator-prey system with ratio-dependent functional response. We establish algebraically the conditions for existence of fixed points and their stability. We show that under some parametric conditions the system passes through a bifurcation (fli...