Bursting dynamics in a state controlled cellular neural network based MLC circuit with periodic forcing signals
DOI10.1016/j.cnsns.2024.108203zbMATH Open1548.34058MaRDI QIDQ6590957
Zhengdi Zhang, Nan Ma, Jinchen Song, Yue Yu
Publication date: 21 August 2024
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
multiple crossing bifurcationbursting dynamicscellular neural networks (CNNs)MLC circuitforcing signals
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Neural networks for/in biological studies, artificial life and related topics (92B20) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Singular perturbations for ordinary differential equations (34E15) Nonautonomous smooth dynamical systems (37C60) Relaxation oscillations for ordinary differential equations (34C26)
Cites Work
- Dynamics and SC-CNN circuit implementation of a periodically forced non-smooth mechanical system
- Duffing-van der Pol oscillator type dynamics in Murali-Lakshmanan-Chua (MLC) circuit
- From plateau to pseudo-plateau bursting: making the transition
- Dynamics and bifurcations of non-smooth mechanical systems
- Bifurcations of equilibria in non-smooth continuous systems
- Coexistence of multiple stable states and bursting oscillations in a 4D Hopfield neural network
- Periodic bursting behaviors induced by pulse-shaped explosion or non-pulse-shaped explosion in a van der Pol-Mathieu oscillator with external excitation
- Chaos control on autonomous and non-autonomous systems with various types of genetic algorithm-optimized weak perturbations
- NONSMOOTH BIFURCATIONS, TRANSIENT HYPERCHAOS AND HYPERCHAOTIC BEATS IN A MEMRISTIVE MURALI–LAKSHMANAN–CHUA CIRCUIT
- A NEW CLASS OF CHAOTIC ATTRACTORS IN MURALI–LAKSHMANAN–CHUA CIRCUIT
- Cellular neural networks: theory
- Realization of all logic gates and memory latch in the SC-CNN cell of the simple nonlinear MLC circuit
- Sliding Bifurcations in the Memristive Murali–Lakshmanan–Chua Circuit and the Memristive Driven Chua Oscillator
- Discontinuity Induced Hopf and Neimark–Sacker Bifurcations in a Memristive Murali–Lakshmanan–Chua Circuit
- REALIZATION AND BIFURCATION OF BOOLEAN FUNCTIONS VIA CELLULAR NEURAL NETWORKS
- Complex Dynamics in a Memristive Diode Bridge-Based MLC Circuit: Coexisting Attractors and Double-Transient Chaos
- Bifurcations in nonlinear discontinuous systems
- Dominating topological analysis and comparison of the cellular neural network
This page was built for publication: Bursting dynamics in a state controlled cellular neural network based MLC circuit with periodic forcing signals