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Existence of monotonic traveling waves in modified RTD-based cellular neural networks

Pages: 930 - 939, Issue Special, August 2005

 Abstract        Full Text (1937.5K)              

Suh-Yuh Yang - Department of Mathematics, National Central University, Chung-Li 32054, Taiwan (email)
Cheng-Hsiung Hsu - Department of Mathematics, National Central University, Chung-Li 32054, Taiwan (email)

Abstract: We study the existence of monotonic traveling and standing wave solutions of the one-dimensional modified RTD-based cellular neural networks. Employing the techniques of monotone iteration coupled with the concept of upper and lower solutions, we can classify the monotonic traveling and standing waves with various asymptotic boundary conditions. Some numerical examples are also provided.

Keywords:  lattice differential equations, cellular neural networks, monotone iteration methods, traveling waves, standing waves.
Mathematics Subject Classification:  Primary: 34K10, 34K28; Secondary: 34B15.

Received: August 2004;      Revised: April 2005;      Published: September 2005.