Periodic solution and chaotic strange attractor for shunting inhibitory cellular neural networks with impulses

DOI10.1063/1.2225418zbMath1146.34316OpenAlexW1995489563WikidataQ51932329 ScholiaQ51932329MaRDI QIDQ3531640

Zhanji Gui, Weigao Ge

Publication date: 3 November 2008

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2225418

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamical systems in biology (37N25) Neural networks for/in biological studies, artificial life and related topics (92B20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (11)

Impulsive SICNNs with chaotic postsynaptic currents ⋮ Chaotifying delayed recurrent neural networks via impulsive effects ⋮ Periodic solution for state-dependent impulsive shunting inhibitory CNNs with time-varying delays ⋮ Existence and global exponential stability of periodic solutions of recurrent cellular neural networks with impulses and delays ⋮ Shunting inhibitory cellular neural networks with chaotic external inputs ⋮ Existence and stability of periodic solutions of high-order Hopfield neural networks with impulses and delays ⋮ Periodic solutions of nonautonomous cellular neural networks with impulses and delays ⋮ Optimizing chaos-based signals for complex radar targets ⋮ Stability analysis of neural networks with interval time-varying delays ⋮ Stationary oscillation for chaotic shunting inhibitory cellular neural networks with impulses ⋮ COMPLEX DYNAMICS OF A HAMILTONIAN SYSTEM UNDER IMPULSIVE CONTROL

Cites Work

• Differential systems involving impulses
• Coincidence degree, and nonlinear differential equations
• Dilation method for finding close roots of polynomials based on constrained learning neural networks
• Stability of functions in Boolean models of gene regulatory networks
• Impulsive stabilization and synchronization of a class of chaotic delay systems
• Global point dissipativity of neural networks with mixed time-varying delays
• Exponential stability of the solutions of the initial value problem for systems with an impulse effect
• A neural network model as a globally coupled map and applications based on chaos
• Bifurcation analysis and existence of periodic solutions in a simple neural network with delays
• Spiking dynamics of interacting oscillatory neurons
• Impulsive synchronization of chaotic systems
• Synchronization in power-law networks

This page was built for publication: Periodic solution and chaotic strange attractor for shunting inhibitory cellular neural networks with impulses