Published April 2006 | Version v1
Journal article

Monotonous property of non-oscillations of the damped Duffing's equation

  • 1. Department of Mathematics, University of Texas-Pan American, Edinburg, TX 78541 (United States)

Description

In this paper, we give a qualitative study to the damped Duffing's equation by means of the qualitative theory of planar systems. Under certain parametric conditions, the monotonous property of the bounded non-oscillations is obtained. Explicit exact solutions are obtained by a direct method and application of this approach to a reaction-diffusion equation is presented

Additional details

Identifiers

DOI
10.1016/j.chaos.2005.07.006;
PII
S0960-0779(05)00587-4;

Publishing Information

Journal Title
Chaos, Solitons and Fractals
Journal Volume
28
Journal Issue
2
Journal Page Range
p. 463-471
ISSN
0960-0779

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
37003634
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BOUNDARY CONDITIONS; DIFFUSION EQUATIONS; EXACT SOLUTIONS; MATHEMATICAL LOGIC; OSCILLATIONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS

Optional Information

Copyright
Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.